* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 212 additional inputs, on iter 1 have 44 / 256 * * * * [misc]points: Computing exacts on every 13 of 212 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 6 of 212 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 212 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 212 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 185 additional inputs, on iter 2 have 71 / 256 * * * * [misc]points: Computing exacts on every 11 of 185 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 185 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 185 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 185 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 146 additional inputs, on iter 3 have 110 / 256 * * * * [misc]points: Computing exacts on every 9 of 146 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 146 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 146 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 146 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 122 additional inputs, on iter 4 have 134 / 256 * * * * [misc]points: Computing exacts on every 7 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 122 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 97 additional inputs, on iter 5 have 159 / 256 * * * * [misc]points: Computing exacts on every 6 of 97 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 97 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 97 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 82 additional inputs, on iter 6 have 174 / 256 * * * * [misc]points: Computing exacts on every 5 of 82 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 82 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 82 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 66 additional inputs, on iter 7 have 190 / 256 * * * * [misc]points: Computing exacts on every 4 of 66 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 66 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 66 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 53 additional inputs, on iter 8 have 203 / 256 * * * * [misc]points: Computing exacts on every 3 of 53 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 53 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 41 additional inputs, on iter 9 have 215 / 256 * * * * [misc]points: Computing exacts on every 2 of 41 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 41 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 34 additional inputs, on iter 10 have 222 / 256 * * * * [misc]points: Computing exacts on every 2 of 34 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 34 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 23 additional inputs, on iter 11 have 233 / 256 * * * * [misc]points: Computing exacts for 23 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 17 additional inputs, on iter 12 have 239 / 256 * * * * [misc]points: Computing exacts for 17 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 13 have 240 / 256 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 12 additional inputs, on iter 14 have 244 / 256 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 12 additional inputs, on iter 15 have 244 / 256 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 16 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 17 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 18 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 19 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 20 have 251 / 256 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 23 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* n (* PI 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) * [misc]approximate: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 k) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 k) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) * [misc]backup-simplify: Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k)) * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 k) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) * [misc]backup-simplify: Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k)) * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (- 1 k) (+ (log (* 2 PI)) (log n))) in k * [misc]taylor: Taking taylor expansion of (- 1 k) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k * [misc]taylor: Taking taylor expansion of (* 2 PI) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (log n)) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1 (+ (log (* 2 PI)) (log n))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (log (* 2 PI)) (log n))) into (* 1/2 (+ (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 (+ (log (* 2 PI)) (log n)))) into (- (+ (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log (* 2 PI)) (log n)))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [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 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2))))) into (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2))))) * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))) into (- (+ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (* 1/4 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (log n) (pow k 2)))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k))))) * [misc]approximate: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) into (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k * [misc]taylor: Taking taylor expansion of (* 2 PI) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 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 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) * [misc]approximate: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in k * [misc]taylor: Taking taylor expansion of (- n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ -1 n) (* 2 PI)) into (* -2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ -1 k)) into (/ 1 k) * [misc]backup-simplify: Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ -1 k)) into (/ 1 k) * [misc]backup-simplify: Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) in k * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k * [misc]taylor: Taking taylor expansion of (* -2 PI) in k * [misc]taylor: Taking taylor expansion of -2 in k * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ 1 (/ 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 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) in k * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 k) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) * [misc]taylor: Taking taylor expansion of (sqrt k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (pow (* 2 (* n PI)) 1/2) +nan.0) into (* +nan.0 (sqrt (* n (* 2 PI)))) * [misc]taylor: Taking taylor expansion of (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) in n * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 k) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) * [misc]backup-simplify: Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k)) * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (sqrt k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (sqrt k)) into (* (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))) * [misc]taylor: Taking taylor expansion of (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) in n * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 k) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) * [misc]backup-simplify: Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k)) * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (sqrt k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (sqrt k)) into (* (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (- 1 k) (+ (log (* 2 PI)) (log n))) in k * [misc]taylor: Taking taylor expansion of (- 1 k) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k * [misc]taylor: Taking taylor expansion of (* 2 PI) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (log n)) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1 (+ (log (* 2 PI)) (log n))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (log (* 2 PI)) (log n))) into (* 1/2 (+ (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt k)) (+ (* (* (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))) (/ 0 (sqrt k))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 (+ (log (* 2 PI)) (log n)))) into (- (+ (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log (* 2 PI)) (log n)))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) * [misc]backup-simplify: Simplify (+ (* 0 (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))))) (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt k)) (+ (* (* (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))) (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [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 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))))) (+ (* +nan.0 (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))))) (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))))) into (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n)))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n)))))))) into (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n)))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 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 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt k)) (+ (* (* (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))) (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [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 * [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 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (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 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/16 (* (pow (log (* 2 PI)) 2) (log n))) (+ (* 1/48 (pow (log (* 2 PI)) 3)) (+ (* 1/48 (pow (log n) 3)) (* 1/16 (* (log (* 2 PI)) (pow (log n) 2)))))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/16 (* (pow (log (* 2 PI)) 2) (log n))) (+ (* 1/48 (pow (log (* 2 PI)) 3)) (+ (* 1/48 (pow (log n) 3)) (* 1/16 (* (log (* 2 PI)) (pow (log n) 2))))))))) (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))))) (+ (* +nan.0 (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))))) (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n))))))))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n))))))))))))))) into (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2)))))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow k 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow k 2) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) k)) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (pow k 2) (log n)))))))))))))))))))))))) * [misc]approximate: Taking taylor expansion of (/ (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in k * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) into (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) * [misc]taylor: Taking taylor expansion of (/ (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) * [misc]taylor: Taking taylor expansion of (/ (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k * [misc]taylor: Taking taylor expansion of (* 2 PI) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (sqrt k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 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 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))) * [misc]approximate: Taking taylor expansion of (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in k * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in k * [misc]taylor: Taking taylor expansion of (- n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ -1 n) (* 2 PI)) into (* -2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) * [misc]taylor: Taking taylor expansion of (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in n * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ -1 k)) into (/ 1 k) * [misc]backup-simplify: Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) * [misc]taylor: Taking taylor expansion of (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in n * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ -1 k)) into (/ 1 k) * [misc]backup-simplify: Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) in k * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k * [misc]taylor: Taking taylor expansion of (* -2 PI) in k * [misc]taylor: Taking taylor expansion of -2 in k * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k * [misc]taylor: Taking taylor expansion of (/ -1 k) in k * [misc]taylor: Taking taylor expansion of -1 in k * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (expm1 (* (* n 2) PI)) * [exit]simplify: Simplified to (expm1 (* (* n 2) PI)) * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log1p (* (* n 2) PI)) * [exit]simplify: Simplified to (log1p (* (* n 2) PI)) * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (log (* (* PI n) 2)) * [exit]simplify: Simplified to (log (* (* PI n) 2)) * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (pow (exp 2) (* PI n)) * [exit]simplify: Simplified to (pow (exp 2) (* PI n)) * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* n (* PI 2))) (cbrt (* n (* PI 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* PI n) 2)) (cbrt (* (* PI n) 2))) * [exit]simplify: Simplified to (* (cbrt (* (* PI n) 2)) (cbrt (* (* PI n) 2))) * [enter]simplify: Simplifying (cbrt (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (* n 2) PI)) * [exit]simplify: Simplified to (cbrt (* (* n 2) PI)) * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (pow (* (* PI n) 2) 3) * [exit]simplify: Simplified to (pow (* (* PI n) 2) 3) * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * [enter]simplify: Simplifying (sqrt (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* n PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* PI n) * [exit]simplify: Simplified to (* PI n) * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (expm1 (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (expm1 (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (log1p (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (log1p (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* n (* PI 2))) (/ (- 1 k) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * [exit]simplify: Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2)))) * [exit]simplify: Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2)))) * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* n (* PI 2))) (/ (- 1 k) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * [exit]simplify: Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2)))) * [exit]simplify: Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2)))) * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ (- 1 k) 2)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (- 1 k) 2) * [exit]simplify: Simplified to (/ (- 1 k) 2) * * * * [misc]progress: [ 17 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* n (* PI 2)) (/ 1 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (pow (* 2 (* PI n)) (/ 1 2)) * [exit]simplify: Simplified to (pow (* 2 (* PI n)) (/ 1 2)) * [enter]simplify: Simplifying (pow (* n (* PI 2)) (/ k 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (pow (* (* PI n) 2) (/ k 2)) * [exit]simplify: Simplified to (pow (* (* PI n) 2) (/ k 2)) * * * * [misc]progress: [ 18 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* n (* PI 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (pow (* PI (* n 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (pow (* PI (* n 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* n (* PI 2)) (sqrt (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (pow (* (* n 2) PI) (sqrt (/ (- 1 k) 2))) * [exit]simplify: Simplified to (pow (* (* n 2) PI) (sqrt (/ (- 1 k) 2))) * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* n (* PI 2)) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (* (* PI n) 2) * [exit]simplify: Simplified to (* (* PI n) 2) * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* n (* PI 2)) (- 1 k)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- 1 k)) * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- 1 k)) * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow n (/ (- 1 k) 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (pow n (/ (- 1 k) 2)) * [exit]simplify: Simplified to (pow n (/ (- 1 k) 2)) * [enter]simplify: Simplifying (pow (* PI 2) (/ (- 1 k) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) * [exit]simplify: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * [exit]simplify: Simplified to (* (/ (- 1 k) 2) (log (* (* n 2) PI))) * [exit]simplify: Simplified to (* (/ (- 1 k) 2) (log (* (* n 2) PI))) * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (exp (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (exp (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) * [enter]simplify: Simplifying (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (pow (pow (* (* n 2) PI) (/ (- 1 k) 2)) 3) * [exit]simplify: Simplified to (pow (pow (* (* n 2) PI) (/ (- 1 k) 2)) 3) * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [enter]simplify: Simplifying (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (expm1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) * [exit]simplify: Simplified to (expm1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (log1p (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) * [exit]simplify: Simplified to (log1p (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) * * * * [misc]progress: [ 32 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (* n (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * [exit]simplify: Simplified to (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (- (log (sqrt k)))) * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (* n (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * [exit]simplify: Simplified to (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (- (log (sqrt k)))) * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (pow (* n (* PI 2)) (/ (- 1 k) 2))) (log (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (fma (/ (- 1 k) 2) (log (* 2 (* PI n))) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (/ (- 1 k) 2) (log (* 2 (* PI n))) (- (log (sqrt k)))) * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (fma (/ (- 1 k) 2) (log (* 2 (* PI n))) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (/ (- 1 k) 2) (log (* 2 (* PI n))) (- (log (sqrt k)))) * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (exp (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) * [exit]simplify: Simplified to (exp (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (353 enodes) * [exit]simplify: Simplified to (* (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (* k (sqrt k)))) * [exit]simplify: Simplified to (* (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (* k (sqrt k)))) * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))) * [exit]simplify: Simplified to (* (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))) * [enter]simplify: Simplifying (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) * [exit]simplify: Simplified to (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (/ (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (/ (* (sqrt k) k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (/ (* (sqrt k) k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) * [exit]simplify: Simplified to (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) * [enter]simplify: Simplifying (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) * [exit]simplify: Simplified to (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (- (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (- (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [enter]simplify: Simplifying (- (sqrt k)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt k)) * [exit]simplify: Simplified to (- (sqrt k)) * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) * [enter]simplify: Simplifying (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (pow n (/ (- 1 k) 2)) * [exit]simplify: Simplified to (pow n (/ (- 1 k) 2)) * [enter]simplify: Simplifying (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * [enter]simplify: Simplifying (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k)) * [exit]simplify: Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k)) * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) * [enter]simplify: Simplifying (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) * [enter]simplify: Simplifying (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k)) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k)) * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))) * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) * [enter]simplify: Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt k)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt k)) * [exit]simplify: Simplified to (/ 1 (sqrt k)) * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ (- 1 k) 2)) * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ (- 1 k) 2)) * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt k) (pow (* n (* PI 2)) (/ k 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (sqrt k) (pow (* n (* PI 2)) (/ k 2))) * [exit]simplify: Simplified to (* (sqrt k) (pow (* n (* PI 2)) (/ k 2))) * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (* 1/4 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (log n) (pow k 2)))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k))))) (sqrt k)) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (377 enodes) * [exit]simplify: Simplified to (/ (+ (* (* (* (pow (* PI 2) 1/2) (pow n 1/2)) (* (* k k) 1/8)) (+ (* (log n) (log n)) (* (log (* PI 2)) (log (* PI 2))))) (- (fma (* (pow (* PI 2) 1/2) (* (pow n 1/2) 1/4)) (* (log (* PI 2)) (* (* k k) (log n))) (* (pow (* PI 2) 1/2) (pow n 1/2))) (* (* (pow (* PI 2) 1/2) (* (pow n 1/2) 1/2)) (fma k (log (* PI 2)) (* (log n) k))))) (sqrt k)) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- 1/2 (* 1/2 k))) (+ (log (* PI 2)) (log n))) (sqrt k)) * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* PI -2)) (log (/ -1 n)))) (sqrt k)) * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow k 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow k 2) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) k)) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (pow k 2) (log n)))))))))))))))))))))))) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (* n (* PI 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) * [misc]approximate: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (* n (* PI 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) * [misc]approximate: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) in k * [misc]taylor: Taking taylor expansion of (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) in k * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* n (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* n (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ k 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ k 2) (log (* n (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ k 2) (log (* n (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ k 2) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ (pow (* 2 (* n PI)) 1/2) 1) into (sqrt (* n (* 2 PI))) * [misc]taylor: Taking taylor expansion of (sqrt k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (sqrt (* n (* 2 PI))) +nan.0) into (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) in n * [misc]taylor: Taking taylor expansion of (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) in n * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* n (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* n (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (log (* 2 PI)) (log n))) into (* 1/2 (+ (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ k 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ k 2) (log (* n (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ k 2) (log (* n (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ k 2) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ k 2) into (* 1/2 k) * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) into (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) * [misc]taylor: Taking taylor expansion of (sqrt k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (/ (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) (sqrt k)) into (* (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) (sqrt (/ 1 k))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) in n * [misc]taylor: Taking taylor expansion of (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) in n * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* n (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* n (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (log (* 2 PI)) (log n))) into (* 1/2 (+ (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ k 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ k 2) (log (* n (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ k 2) (log (* n (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ k 2) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ k 2) into (* 1/2 k) * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) into (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) * [misc]taylor: Taking taylor expansion of (sqrt k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (/ (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) (sqrt k)) into (* (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) (sqrt (/ 1 k))) * [misc]taylor: Taking taylor expansion of (* (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) (sqrt (/ 1 k))) in k * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (log (* 2 PI)) (log n))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k * [misc]taylor: Taking taylor expansion of (* 2 PI) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (log n)) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (log (* 2 PI)) (log n))) into (* 1/2 (+ (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k * [misc]taylor: Taking taylor expansion of (* 2 PI) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (log n)) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 0 (+ (log (* 2 PI)) (log n))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ (log (* 2 PI)) (log n)))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log (* 2 PI)) (log n))) (* 0 0)) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) 1) into (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) (+ (* (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt k)) (+ (* (* (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) (sqrt (/ 1 k))) (/ 0 (sqrt k))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1) 1)))) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) +nan.0) (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) (+ (* (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) (* 0 (/ 0 (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt k)) (+ (* (* (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) (sqrt (/ 1 k))) (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [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 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [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 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (+ (log (* 2 PI)) (log n))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (/ (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))) 1)) (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))))) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (* 1/4 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) +nan.0) (+ (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))))) +nan.0) (* (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (* 1/4 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n)))))) 0))) into (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n)))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n)))))))) into (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n)))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 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 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [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 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) (+ (* (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) (* 0 (/ 0 (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) (* 0 (/ 0 (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt k)) (+ (* (* (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) (sqrt (/ 1 k))) (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [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 * [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 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 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 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [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 * [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 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (+ (log (* 2 PI)) (log n))) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (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 (+ (* 1/16 (* (pow (log (* 2 PI)) 2) (log n))) (+ (* 1/48 (pow (log (* 2 PI)) 3)) (+ (* 1/48 (pow (log n) 3)) (* 1/16 (* (log (* 2 PI)) (pow (log n) 2)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (/ (+ (* 1/16 (* (pow (log (* 2 PI)) 2) (log n))) (+ (* 1/48 (pow (log (* 2 PI)) 3)) (+ (* 1/48 (pow (log n) 3)) (* 1/16 (* (log (* 2 PI)) (pow (log n) 2)))))) 1)) (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))))) (/ (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))) 1)) (* (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (* 1/4 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n)))))) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/16 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (log n)))) (+ (* 1/48 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 3))) (+ (* 1/48 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 3))) (* 1/16 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (pow (log n) 2)))))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) +nan.0) (+ (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))))) +nan.0) (+ (* (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (* 1/4 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n)))))) +nan.0) (* (- (+ (* 1/16 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (log n)))) (+ (* 1/48 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 3))) (+ (* 1/48 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 3))) (* 1/16 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (pow (log n) 2)))))))) 0)))) into (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2)))))))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n))))))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow k 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow k 2) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) k)) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (pow k 2) (log n)))))))))))))))))))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (pow (* (/ 1 n) (* PI 2)) (/ 1 2)) (pow (* (/ 1 n) (* PI 2)) (/ (/ 1 k) 2))) (sqrt (/ 1 k))) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* (/ 1 n) (* PI 2)) (/ 1 2)) (pow (* (/ 1 n) (* PI 2)) (/ (/ 1 k) 2))) (sqrt (/ 1 k))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (* (/ 1 n) (* PI 2)) (/ 1 2)) (pow (* (/ 1 n) (* PI 2)) (/ (/ 1 k) 2))) in k * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 n) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 n) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (/ 1 k) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (* (/ 1 n) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 k) 2) (log (* (/ 1 n) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (/ 1 k) 2) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 k) 2) (log (* (/ 1 n) (* PI 2))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) * [misc]backup-simplify: Simplify (/ (pow (* 2 (/ PI n)) 1/2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (* (sqrt (/ (* 2 PI) n)) (/ 1 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ (* 2 PI) n)) (/ 1 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) +nan.0) into (* +nan.0 (* (sqrt (/ PI n)) (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* (/ 1 n) (* PI 2)) (/ 1 2)) (pow (* (/ 1 n) (* PI 2)) (/ (/ 1 k) 2))) (sqrt (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (* (/ 1 n) (* PI 2)) (/ 1 2)) (pow (* (/ 1 n) (* PI 2)) (/ (/ 1 k) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 n) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 n) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (/ 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (* (/ 1 n) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 k) 2) (log (* (/ 1 n) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 k) 2) into (/ 1/2 k) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt (/ 1 k))) into (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* (/ 1 n) (* PI 2)) (/ 1 2)) (pow (* (/ 1 n) (* PI 2)) (/ (/ 1 k) 2))) (sqrt (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (* (/ 1 n) (* PI 2)) (/ 1 2)) (pow (* (/ 1 n) (* PI 2)) (/ (/ 1 k) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 n) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 n) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (/ 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (* (/ 1 n) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 k) 2) (log (* (/ 1 n) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 k) 2) into (/ 1/2 k) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt (/ 1 k))) into (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) * [misc]taylor: Taking taylor expansion of (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) in k * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (- (log (* 2 PI)) (log n)))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (- (log (* 2 PI)) (log n))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k * [misc]taylor: Taking taylor expansion of (* 2 PI) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k * [misc]taylor: Taking taylor expansion of (* 2 PI) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) * [misc]taylor: Taking taylor expansion of (sqrt k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [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 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 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 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [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 * [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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 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 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* k (exp (* 1/2 (* k (- (log (* 2 PI)) (log (/ 1 n))))))))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* (pow k 2) (exp (* 1/2 (* k (- (log (* 2 PI)) (log (/ 1 n))))))))) (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* (pow k 3) (exp (* 1/2 (* k (- (log (* 2 PI)) (log (/ 1 n)))))))))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ 1 2)) (pow (* (/ 1 (- n)) (* PI 2)) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ 1 2)) (pow (* (/ 1 (- n)) (* PI 2)) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ 1 2)) (pow (* (/ 1 (- n)) (* PI 2)) (/ (/ 1 (- k)) 2))) in k * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 (- n)) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 (- n)) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in k * [misc]taylor: Taking taylor expansion of (- n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ -1 n) (* 2 PI)) into (* -2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* -2 (/ PI n))))) into (pow (* -2 (/ PI n)) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (/ 1 (- k)) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (* (/ 1 (- n)) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (* (/ 1 (- n)) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- k)) 2) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in k * [misc]taylor: Taking taylor expansion of (- n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ -1 n) (* 2 PI)) into (* -2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 (- k)) 2) (log (* (/ 1 (- n)) (* PI 2))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) * [misc]backup-simplify: Simplify (/ (pow (* -2 (/ PI n)) 1/2) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (/ (* PI -2) n)) (/ 1 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ (* PI -2) n)) (/ 1 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) +nan.0) into (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ 1 2)) (pow (* (/ 1 (- n)) (* PI 2)) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ 1 2)) (pow (* (/ 1 (- n)) (* PI 2)) (/ (/ 1 (- k)) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 (- n)) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 (- n)) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (/ 1 (- k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (* (/ 1 (- n)) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (* (/ 1 (- n)) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- k)) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 k) 2) into (/ -1/2 k) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ 1 2)) (pow (* (/ 1 (- n)) (* PI 2)) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ 1 2)) (pow (* (/ 1 (- n)) (* PI 2)) (/ (/ 1 (- k)) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 (- n)) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 (- n)) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (/ 1 (- k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (* (/ 1 (- n)) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (* (/ 1 (- n)) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- k)) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 k) 2) into (/ -1/2 k) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (- (log (* -2 PI)) (log n)))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (- (log (* -2 PI)) (log n))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k * [misc]taylor: Taking taylor expansion of (* -2 PI) in k * [misc]taylor: Taking taylor expansion of -2 in k * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n)))) * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k * [misc]taylor: Taking taylor expansion of -1/2 in k * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k * [misc]taylor: Taking taylor expansion of (* -2 PI) in k * [misc]taylor: Taking taylor expansion of -2 in k * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k * [misc]taylor: Taking taylor expansion of (/ -1 k) in k * [misc]taylor: Taking taylor expansion of -1 in k * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) * [misc]backup-simplify: Simplify (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) (/ 0 (sqrt (/ -1 k)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 * [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 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (exp (* 1/2 (* k (- (log (* -2 PI)) (log (/ -1 n)))))))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (* (exp (* 1/2 (* k (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (* (exp (* 1/2 (* k (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (pow (* n (* PI 2)) (/ 1 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* n (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* n (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (log (* 2 PI)) (log n))) into (* 1/2 (+ (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* n (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* n (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (log (* 2 PI)) (log n))) into (* 1/2 (+ (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 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 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) * [misc]approximate: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ 1 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 n) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 n) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 n) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 n) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 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 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) * [misc]approximate: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ 1 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 (- n)) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 (- n)) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 (- n)) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 (- n)) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 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 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -2 PI) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -2 PI) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (expm1 (* (* n 2) PI)) * [exit]simplify: Simplified to (expm1 (* (* n 2) PI)) * * * * [misc]progress: [ 2 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log1p (* (* n 2) PI)) * [exit]simplify: Simplified to (log1p (* (* n 2) PI)) * * * * [misc]progress: [ 3 / 159 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (log (* (* PI n) 2)) * [exit]simplify: Simplified to (log (* (* PI n) 2)) * * * * [misc]progress: [ 5 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (pow (exp 2) (* PI n)) * [exit]simplify: Simplified to (pow (exp 2) (* PI n)) * * * * [misc]progress: [ 6 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* n (* PI 2))) (cbrt (* n (* PI 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* PI n) 2)) (cbrt (* (* PI n) 2))) * [exit]simplify: Simplified to (* (cbrt (* (* PI n) 2)) (cbrt (* (* PI n) 2))) * [enter]simplify: Simplifying (cbrt (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (* n 2) PI)) * [exit]simplify: Simplified to (cbrt (* (* n 2) PI)) * * * * [misc]progress: [ 7 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (pow (* (* PI n) 2) 3) * [exit]simplify: Simplified to (pow (* (* PI n) 2) 3) * * * * [misc]progress: [ 8 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * [enter]simplify: Simplifying (sqrt (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * * * * [misc]progress: [ 9 / 159 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (* n PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* PI n) * [exit]simplify: Simplified to (* PI n) * * * * [misc]progress: [ 11 / 159 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (expm1 (* (* n 2) PI)) * [exit]simplify: Simplified to (expm1 (* (* n 2) PI)) * * * * [misc]progress: [ 13 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log1p (* (* n 2) PI)) * [exit]simplify: Simplified to (log1p (* (* n 2) PI)) * * * * [misc]progress: [ 14 / 159 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (log (* (* PI n) 2)) * [exit]simplify: Simplified to (log (* (* PI n) 2)) * * * * [misc]progress: [ 16 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (pow (exp 2) (* PI n)) * [exit]simplify: Simplified to (pow (exp 2) (* PI n)) * * * * [misc]progress: [ 17 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* n (* PI 2))) (cbrt (* n (* PI 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* PI n) 2)) (cbrt (* (* PI n) 2))) * [exit]simplify: Simplified to (* (cbrt (* (* PI n) 2)) (cbrt (* (* PI n) 2))) * [enter]simplify: Simplifying (cbrt (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (* n 2) PI)) * [exit]simplify: Simplified to (cbrt (* (* n 2) PI)) * * * * [misc]progress: [ 18 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (pow (* (* PI n) 2) 3) * [exit]simplify: Simplified to (pow (* (* PI n) 2) 3) * * * * [misc]progress: [ 19 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * [enter]simplify: Simplifying (sqrt (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * * * * [misc]progress: [ 20 / 159 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (* n PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* PI n) * [exit]simplify: Simplified to (* PI n) * * * * [misc]progress: [ 22 / 159 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (expm1 (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) * [exit]simplify: Simplified to (expm1 (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) * * * * [misc]progress: [ 24 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (log1p (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) * [exit]simplify: Simplified to (log1p (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) * * * * [misc]progress: [ 25 / 159 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log (* n (* PI 2))) (/ 1 2)) (* (log (* n (* PI 2))) (/ k 2))) (log (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (fma (- (/ 1 2) (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (- (/ 1 2) (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))) * * * * [misc]progress: [ 27 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log (* n (* PI 2))) (/ 1 2)) (* (log (* n (* PI 2))) (/ k 2))) (log (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (fma (- (/ 1 2) (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (- (/ 1 2) (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))) * * * * [misc]progress: [ 28 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log (* n (* PI 2))) (/ 1 2)) (log (pow (* n (* PI 2)) (/ k 2)))) (log (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (fma (- (/ 1 2) (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (- (/ 1 2) (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))) * * * * [misc]progress: [ 29 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log (* n (* PI 2))) (/ 1 2)) (* (log (* n (* PI 2))) (/ k 2))) (log (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (fma (- (/ 1 2) (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (- (/ 1 2) (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))) * * * * [misc]progress: [ 30 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log (* n (* PI 2))) (/ 1 2)) (* (log (* n (* PI 2))) (/ k 2))) (log (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (fma (- (/ 1 2) (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (- (/ 1 2) (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))) * * * * [misc]progress: [ 31 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log (* n (* PI 2))) (/ 1 2)) (log (pow (* n (* PI 2)) (/ k 2)))) (log (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (fma (- (/ 1 2) (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (- (/ 1 2) (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))) * * * * [misc]progress: [ 32 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (pow (* n (* PI 2)) (/ 1 2))) (* (log (* n (* PI 2))) (/ k 2))) (log (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (fma (log (* (* PI n) 2)) (- (/ 1 2) (/ k 2)) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (log (* (* PI n) 2)) (- (/ 1 2) (/ k 2)) (- (log (sqrt k)))) * * * * [misc]progress: [ 33 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (pow (* n (* PI 2)) (/ 1 2))) (* (log (* n (* PI 2))) (/ k 2))) (log (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (fma (log (* (* PI n) 2)) (- (/ 1 2) (/ k 2)) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (log (* (* PI n) 2)) (- (/ 1 2) (/ k 2)) (- (log (sqrt k)))) * * * * [misc]progress: [ 34 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (pow (* n (* PI 2)) (/ 1 2))) (log (pow (* n (* PI 2)) (/ k 2)))) (log (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (fma (- (/ 1 2) (/ k 2)) (log (* (* n 2) PI)) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (- (/ 1 2) (/ k 2)) (log (* (* n 2) PI)) (- (log (sqrt k)))) * * * * [misc]progress: [ 35 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (log (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * [exit]simplify: Simplified to (fma (log (* 2 (* PI n))) (- (/ 1 2) (/ k 2)) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (log (* 2 (* PI n))) (- (/ 1 2) (/ k 2)) (- (log (sqrt k)))) * * * * [misc]progress: [ 36 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (fma (log (* (* 2 PI) n)) (- (/ 1 2) (/ k 2)) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (log (* (* 2 PI) n)) (- (/ 1 2) (/ k 2)) (- (log (sqrt k)))) * * * * [misc]progress: [ 37 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (exp (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) * [exit]simplify: Simplified to (exp (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) * * * * [misc]progress: [ 38 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ 1 2))) (* (* (pow (* n (* PI 2)) (/ k 2)) (pow (* n (* PI 2)) (/ k 2))) (pow (* n (* PI 2)) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (/ (* (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2))) (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))) (* (pow (* (* PI n) 2) (/ k 2)) (/ (* (sqrt k) k) (pow (* (* PI n) 2) (/ 1 2))))) * [exit]simplify: Simplified to (/ (* (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2))) (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))) (* (pow (* (* PI n) 2) (/ k 2)) (/ (* (sqrt k) k) (pow (* (* PI n) 2) (/ 1 2))))) * * * * [misc]progress: [ 39 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * [exit]simplify: Simplified to (* (/ (pow (* PI (* n 2)) (/ 1 2)) (* (pow (* PI (* n 2)) (/ k 2)) (* (sqrt k) k))) (* (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))))) * [exit]simplify: Simplified to (* (/ (pow (* PI (* n 2)) (/ 1 2)) (* (pow (* PI (* n 2)) (/ k 2)) (* (sqrt k) k))) (* (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))))) * * * * [misc]progress: [ 40 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))) (cbrt (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (sqrt k)) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (sqrt k)) (pow (* PI (* n 2)) (/ k 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (sqrt k)) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (sqrt k)) (pow (* PI (* n 2)) (/ k 2))))) * [enter]simplify: Simplifying (cbrt (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) * [exit]simplify: Simplified to (cbrt (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) * * * * [misc]progress: [ 41 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (/ (/ (* (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ 1 2))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))) (/ (* k (pow (* (* 2 PI) n) (/ k 2))) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (* (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ 1 2))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))) (/ (* k (pow (* (* 2 PI) n) (/ k 2))) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2))))) * * * * [misc]progress: [ 42 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) * [exit]simplify: Simplified to (sqrt (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) * [enter]simplify: Simplifying (sqrt (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) * [exit]simplify: Simplified to (sqrt (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) * * * * [misc]progress: [ 43 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))) * [exit]simplify: Simplified to (- (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))) * [enter]simplify: Simplifying (- (sqrt k)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt k)) * [exit]simplify: Simplified to (- (sqrt k)) * * * * [misc]progress: [ 44 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))) * * * * [misc]progress: [ 45 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 46 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (sqrt k)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))) (sqrt k)) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))) (sqrt k)) * * * * [misc]progress: [ 47 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))) * * * * [misc]progress: [ 48 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 49 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))) * [exit]simplify: Simplified to (sqrt (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (sqrt k)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))) (sqrt k)) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))) (sqrt k)) * * * * [misc]progress: [ 50 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * * * * [misc]progress: [ 51 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * * * * [misc]progress: [ 52 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (pow n (/ k 2))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt k)) (pow (* 2 PI) (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt k)) (pow (* 2 PI) (/ k 2))) * * * * [misc]progress: [ 53 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (sqrt k))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (sqrt k))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) * * * * [misc]progress: [ 54 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) * * * * [misc]progress: [ 55 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt k)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 56 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) * * * * [misc]progress: [ 57 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) * * * * [misc]progress: [ 58 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt k)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 59 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (sqrt k))) (pow (* PI (* n 2)) (/ k 2))) * * * * [misc]progress: [ 60 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) 1) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (sqrt (sqrt k))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* PI (* n 2)) (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* PI (* n 2)) (/ k 2))) * * * * [misc]progress: [ 61 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (pow n (/ 1 2)) * [exit]simplify: Simplified to (pow n (/ 1 2)) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt k)) (pow (* (* 2 PI) n) (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt k)) (pow (* (* 2 PI) n) (/ k 2))) * * * * [misc]progress: [ 62 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 PI) n) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ k 2)) (cbrt (pow (* (* 2 PI) n) (/ 1 2))))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 PI) n) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ k 2)) (cbrt (pow (* (* 2 PI) n) (/ 1 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* PI 2) (/ k 2))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (* (cbrt (sqrt k)) (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (* (cbrt (sqrt k)) (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 63 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (pow n (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ 1 2))))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ 1 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 64 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (pow n (/ k 2))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* PI (* n 2)) (/ 1 2))) (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (pow n (/ k 2)))) * [exit]simplify: Simplified to (* (cbrt (pow (* PI (* n 2)) (/ 1 2))) (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (pow n (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* PI 2) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (* (pow (* 2 PI) (/ k 2)) (sqrt k))) * [exit]simplify: Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (* (pow (* 2 PI) (/ k 2)) (sqrt k))) * * * * [misc]progress: [ 65 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (* (/ (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))) * * * * [misc]progress: [ 66 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) (/ (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) (/ (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 67 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 (* PI n)) (/ 1 2))) (cbrt (pow (* 2 (* PI n)) (/ k 2)))) (/ (cbrt (pow (* 2 (* PI n)) (/ 1 2))) (cbrt (pow (* 2 (* PI n)) (/ k 2))))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 (* PI n)) (/ 1 2))) (cbrt (pow (* 2 (* PI n)) (/ k 2)))) (/ (cbrt (pow (* 2 (* PI n)) (/ 1 2))) (cbrt (pow (* 2 (* PI n)) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt k)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 68 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 (* PI n)) (/ 1 2))) (sqrt (pow (* 2 (* PI n)) (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* 2 (* PI n)) (/ 1 2))))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 (* PI n)) (/ 1 2))) (sqrt (pow (* 2 (* PI n)) (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* 2 (* PI n)) (/ 1 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))) * * * * [misc]progress: [ 69 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ 1 2))))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ 1 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 70 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (/ 1 2))) (/ (sqrt (pow (* (* 2 PI) n) (/ k 2))) (cbrt (pow (* (* 2 PI) n) (/ 1 2))))) * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (/ 1 2))) (/ (sqrt (pow (* (* 2 PI) n) (/ k 2))) (cbrt (pow (* (* 2 PI) n) (/ 1 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt k)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 71 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 PI) n) (/ 1 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (/ 1 2))) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 PI) n) (/ 1 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (/ 1 2))) (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ k 2))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (* (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (* (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 72 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) 1) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* PI (* n 2)) (/ 1 2))) (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (* (cbrt (pow (* PI (* n 2)) (/ 1 2))) (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 73 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ 1 2)))) * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ 1 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (* (pow (* PI (* n 2)) (/ k 2)) (sqrt k))) * [exit]simplify: Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ 1 2))) (* (pow (* PI (* n 2)) (/ k 2)) (sqrt k))) * * * * [misc]progress: [ 74 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ 1 2))) (* (pow n (/ k 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ 1 2))) (* (pow n (/ k 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* PI 2) (/ k 2))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (cbrt (sqrt k)) (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (cbrt (sqrt k)) (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 75 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 76 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (pow n (/ k 2))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow n (/ k 2))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* PI 2) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (pow (* 2 PI) (/ k 2)) (sqrt k))) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (pow (* 2 PI) (/ k 2)) (sqrt k))) * * * * [misc]progress: [ 77 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 (* PI n)) (/ 1 2))) (cbrt (pow (* 2 (* PI n)) (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* 2 (* PI n)) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 (* PI n)) (/ 1 2))) (cbrt (pow (* 2 (* PI n)) (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* 2 (* PI n)) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))) * * * * [misc]progress: [ 78 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 79 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt k)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 80 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))) * * * * [misc]progress: [ 81 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 82 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt k)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 83 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ k 2))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 84 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) 1) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (sqrt k))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 85 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) 1) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (/ 1 2))) * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (/ 1 2))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (pow (* PI (* n 2)) (/ k 2)) (sqrt k))) * [exit]simplify: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ 1 2))) (* (pow (* PI (* n 2)) (/ k 2)) (sqrt k))) * * * * [misc]progress: [ 86 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ 1 2)) (* (cbrt (sqrt k)) (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ 1 2)) (* (cbrt (sqrt k)) (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 87 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (pow n (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow n (/ k 2))) * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt (sqrt k)) (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt (sqrt k)) (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 88 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (pow n (/ k 2))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 1 (pow n (/ k 2))) * [exit]simplify: Simplified to (/ 1 (pow n (/ k 2))) * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (/ 1 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (/ 1 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 89 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (cbrt (sqrt k))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (cbrt (sqrt k))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 90 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 91 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt k)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 92 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* n (* PI 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 93 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 (* PI n)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 (* PI n)) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 94 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* n (* PI 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* n (* PI 2)) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (sqrt k)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 95 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) * * * * [misc]progress: [ 96 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt k))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) * * * * [misc]progress: [ 97 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (/ 1 2)) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (/ 1 2)) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))) * * * * [misc]progress: [ 98 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) * * * * [misc]progress: [ 99 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) * * * * [misc]progress: [ 100 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (/ 1 2)) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (/ 1 2)) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))) * * * * [misc]progress: [ 101 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* n (* PI 2)) (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (pow (* (* PI n) 2) (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow (* (* PI n) 2) (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ 1 (pow (* n (* PI 2)) (/ k 2))) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2))) * * * * [misc]progress: [ 102 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (pow (* (* PI n) 2) (/ 1 2)) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (pow (* (* PI n) 2) (/ 1 2)) (sqrt (sqrt k))) * [enter]simplify: Simplifying (/ (/ 1 (pow (* n (* PI 2)) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2))) * * * * [misc]progress: [ 103 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* n (* PI 2)) (/ 1 2)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (pow (* (* PI n) 2) (/ 1 2)) * [exit]simplify: Simplified to (pow (* (* PI n) 2) (/ 1 2)) * [enter]simplify: Simplifying (/ (/ 1 (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* n (* PI 2)) (/ k 2))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* n (* PI 2)) (/ k 2))) * * * * [misc]progress: [ 104 / 159 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt k)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt k)) * [exit]simplify: Simplified to (/ 1 (sqrt k)) * * * * [misc]progress: [ 106 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) * * * * [misc]progress: [ 107 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * * * [misc]progress: [ 108 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) * * * * [misc]progress: [ 109 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2))) * [exit]simplify: Simplified to (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2))) * * * * [misc]progress: [ 110 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))))) * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))))) * * * * [misc]progress: [ 111 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))))) * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))))) * * * * [misc]progress: [ 112 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (/ (sqrt k) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) * * * * [misc]progress: [ 113 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI 2) (/ 1 2)) (cbrt (pow (* n (* PI 2)) (/ k 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) * * * * [misc]progress: [ 114 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI 2) (/ 1 2)) (sqrt (pow (* n (* PI 2)) (/ k 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) * * * * [misc]progress: [ 115 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI 2) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* 2 (* n PI)) (/ k 2))) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* 2 (* n PI)) (/ k 2))) * * * * [misc]progress: [ 116 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (* (pow (* PI 2) (/ k 2)) (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (pow (* PI 2) (/ k 2)) (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ 1 2)))) * * * * [misc]progress: [ 117 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) * * * * [misc]progress: [ 118 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) * * * * [misc]progress: [ 119 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ k 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (* (pow (* PI (* n 2)) (/ k 2)) (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (pow (* PI (* n 2)) (/ k 2)) (sqrt k)) (cbrt (pow (* PI (* n 2)) (/ 1 2)))) * * * * [misc]progress: [ 120 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (* (pow (* PI 2) (/ k 2)) (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (pow (* PI 2) (/ k 2)) (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ 1 2)))) * * * * [misc]progress: [ 121 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ 1 2)))) * * * * [misc]progress: [ 122 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ 1 2)))) * * * * [misc]progress: [ 123 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ k 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (* (pow (* PI (* n 2)) (/ k 2)) (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (pow (* PI (* n 2)) (/ k 2)) (sqrt k)) (sqrt (pow (* PI (* n 2)) (/ 1 2)))) * * * * [misc]progress: [ 124 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (* (pow (* PI 2) (/ k 2)) (sqrt k)) (pow (* (* n 2) PI) (/ 1 2))) * [exit]simplify: Simplified to (/ (* (pow (* PI 2) (/ k 2)) (sqrt k)) (pow (* (* n 2) PI) (/ 1 2))) * * * * [misc]progress: [ 125 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n (* PI 2)) (/ 1 2)) (cbrt (pow (* n (* PI 2)) (/ k 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 126 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt (pow (* n (* PI 2)) (/ k 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* PI (* n 2)) (/ 1 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) * * * * [misc]progress: [ 127 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) * * * * [misc]progress: [ 128 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) * [exit]simplify: Simplified to (* (/ (sqrt k) (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) * * * * [misc]progress: [ 129 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (/ 1 (pow (* n (* PI 2)) (/ k 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (pow (* 2 (* n PI)) (/ k 2)) (sqrt k)) * [exit]simplify: Simplified to (* (pow (* 2 (* n PI)) (/ k 2)) (sqrt k)) * * * * [misc]progress: [ 130 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt k) (pow (* n (* PI 2)) (/ k 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (sqrt k) (pow (* n (* PI 2)) (/ k 2))) * [exit]simplify: Simplified to (* (sqrt k) (pow (* n (* PI 2)) (/ k 2))) * * * * [misc]progress: [ 131 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (* n (* PI 2)) (/ 1 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (expm1 (pow (* (* PI n) 2) (/ 1 2))) * [exit]simplify: Simplified to (expm1 (pow (* (* PI n) 2) (/ 1 2))) * * * * [misc]progress: [ 132 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (* n (* PI 2)) (/ 1 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (log1p (pow (* (* PI n) 2) (/ 1 2))) * [exit]simplify: Simplified to (log1p (pow (* (* PI n) 2) (/ 1 2))) * * * * [misc]progress: [ 133 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* n (* PI 2))) (/ 1 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (fma (log (* 2 PI)) (/ 1 2) (/ (log n) 2)) * [exit]simplify: Simplified to (fma (log (* 2 PI)) (/ 1 2) (/ (log n) 2)) * * * * [misc]progress: [ 134 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* n (* PI 2))) (/ 1 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (fma (log (* 2 PI)) (/ 1 2) (/ (log n) 2)) * [exit]simplify: Simplified to (fma (log (* 2 PI)) (/ 1 2) (/ (log n) 2)) * * * * [misc]progress: [ 135 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ 1 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * * * * [misc]progress: [ 136 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* n (* PI 2)) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (pow (* (* n 2) PI) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) * [exit]simplify: Simplified to (pow (* (* n 2) PI) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) * * * * [misc]progress: [ 137 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* n (* PI 2)) (sqrt (/ 1 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (pow (* (* PI n) 2) (sqrt (/ 1 2))) * [exit]simplify: Simplified to (pow (* (* PI n) 2) (sqrt (/ 1 2))) * * * * [misc]progress: [ 138 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* n (* PI 2)) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (* (* PI n) 2) * [exit]simplify: Simplified to (* (* PI n) 2) * * * * [misc]progress: [ 139 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* n (* PI 2)) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (* (* PI n) 2) * [exit]simplify: Simplified to (* (* PI n) 2) * * * * [misc]progress: [ 140 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (pow n (/ 1 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow n (/ 1 2)) * [exit]simplify: Simplified to (pow n (/ 1 2)) * [enter]simplify: Simplifying (pow (* PI 2) (/ 1 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (pow (* 2 PI) (/ 1 2)) * [exit]simplify: Simplified to (pow (* 2 PI) (/ 1 2)) * * * * [misc]progress: [ 141 / 159 ] simplifiying candidate # * * * * [misc]progress: [ 142 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (* n (* PI 2)) (/ 1 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (fma (log (* PI n)) (/ 1 2) (/ (log 2) 2)) * [exit]simplify: Simplified to (fma (log (* PI n)) (/ 1 2) (/ (log 2) 2)) * * * * [misc]progress: [ 143 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (* n (* PI 2)) (/ 1 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (exp (pow (* (* PI n) 2) (/ 1 2))) * [exit]simplify: Simplified to (exp (pow (* (* PI n) 2) (/ 1 2))) * * * * [misc]progress: [ 144 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) * [exit]simplify: Simplified to (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) * [enter]simplify: Simplifying (cbrt (pow (* n (* PI 2)) (/ 1 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (/ 1 2))) * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (/ 1 2))) * * * * [misc]progress: [ 145 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ 1 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (pow (pow (* (* n 2) PI) (/ 1 2)) 3) * [exit]simplify: Simplified to (pow (pow (* (* n 2) PI) (/ 1 2)) 3) * * * * [misc]progress: [ 146 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (* n (* PI 2)) (/ 1 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (/ 1 2))) * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (/ 1 2))) * [enter]simplify: Simplifying (sqrt (pow (* n (* PI 2)) (/ 1 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (/ 1 2))) * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (/ 1 2))) * * * * [misc]progress: [ 147 / 159 ] simplifiying candidate # * * * * [misc]progress: [ 148 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* (* PI n) 2) (/ 1 2)) (sqrt k)) (pow (* (* PI n) 2) (/ k 2))) * * * * [misc]progress: [ 149 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* (* PI n) 2) (/ 1 2)) (sqrt k)) (pow (* (* PI n) 2) (/ k 2))) * * * * [misc]progress: [ 150 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* (* PI n) 2) (/ 1 2)) (sqrt k)) (pow (* (* PI n) 2) (/ k 2))) * * * * [misc]progress: [ 151 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* 2 (* n PI)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* (* PI n) 2) (/ 1 2)) (sqrt k)) (pow (* (* PI n) 2) (/ k 2))) * * * * [misc]progress: [ 152 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* 2 (* n PI)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* (* PI n) 2) (/ 1 2)) (sqrt k)) (pow (* (* PI n) 2) (/ k 2))) * * * * [misc]progress: [ 153 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* 2 (* n PI)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* (* PI n) 2) (/ 1 2)) (sqrt k)) (pow (* (* PI n) 2) (/ k 2))) * * * * [misc]progress: [ 154 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow k 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow k 2) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) k)) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (pow k 2) (log n)))))))))))))))))))))))) * * * * [misc]progress: [ 155 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* k (exp (* 1/2 (* k (- (log (* 2 PI)) (log (/ 1 n))))))))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* (pow k 2) (exp (* 1/2 (* k (- (log (* 2 PI)) (log (/ 1 n))))))))) (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* (pow k 3) (exp (* 1/2 (* k (- (log (* 2 PI)) (log (/ 1 n)))))))))))))) * * * * [misc]progress: [ 156 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (exp (* 1/2 (* k (- (log (* -2 PI)) (log (/ -1 n)))))))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (* (exp (* 1/2 (* k (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (* (exp (* 1/2 (* k (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))))))))) * * * * [misc]progress: [ 157 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* PI 2)) (/ (sqrt n) (sqrt k))) (pow (* n (* PI 2)) (/ k 2))) * * * * [misc]progress: [ 158 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* PI 2)) (/ (sqrt n) (sqrt k))) (pow (* (* PI n) 2) (/ k 2))) * * * * [misc]progress: [ 159 / 159 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (* PI -2)) (pow (/ -1 n) 1/2)) (sqrt k)) (pow (* 2 (* PI n)) (/ k 2))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (* n (* PI 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) * [misc]approximate: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 k) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 k) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) * [misc]backup-simplify: Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k)) * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 k) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) * [misc]backup-simplify: Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k)) * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (- 1 k) (+ (log (* 2 PI)) (log n))) in k * [misc]taylor: Taking taylor expansion of (- 1 k) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k * [misc]taylor: Taking taylor expansion of (* 2 PI) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (log n)) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1 (+ (log (* 2 PI)) (log n))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (log (* 2 PI)) (log n))) into (* 1/2 (+ (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 (+ (log (* 2 PI)) (log n)))) into (- (+ (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log (* 2 PI)) (log n)))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [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 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2))))) into (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2))))) * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))) into (- (+ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (* 1/4 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (log n) (pow k 2)))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k))))) * [misc]approximate: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) into (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k * [misc]taylor: Taking taylor expansion of (* 2 PI) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 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 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) * [misc]approximate: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in k * [misc]taylor: Taking taylor expansion of (- n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ -1 n) (* 2 PI)) into (* -2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ -1 k)) into (/ 1 k) * [misc]backup-simplify: Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ -1 k)) into (/ 1 k) * [misc]backup-simplify: Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) in k * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k * [misc]taylor: Taking taylor expansion of (* -2 PI) in k * [misc]taylor: Taking taylor expansion of -2 in k * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0 * [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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ 1 (/ 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 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) in (k n) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) in n * [misc]taylor: Taking taylor expansion of (sqrt k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 k) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) * [misc]backup-simplify: Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k)) * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))) into (* (sqrt k) (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))))) * [misc]taylor: Taking taylor expansion of (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) in k * [misc]taylor: Taking taylor expansion of (sqrt k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 k) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) * [misc]backup-simplify: Simplify (/ +nan.0 (pow (* 2 (* n PI)) 1/2)) into (* +nan.0 (sqrt (/ 1 (* n (* 2 PI))))) * [misc]taylor: Taking taylor expansion of (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) in k * [misc]taylor: Taking taylor expansion of (sqrt k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 k) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) * [misc]backup-simplify: Simplify (/ +nan.0 (pow (* 2 (* n PI)) 1/2)) into (* +nan.0 (sqrt (/ 1 (* n (* 2 PI))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt (/ 1 (* n (* 2 PI))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n (* 2 PI)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* n (* 2 PI))) in n * [misc]taylor: Taking taylor expansion of (* n (* 2 PI)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (/ 1 (* 2 PI)) into (/ 1/2 PI) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/2 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 PI))) into (- (* +nan.0 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ -1 2) (+ (* 1/2 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* n (* 2 PI))) (log (* 2 (* n PI))))) * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (* 2 (* n PI)) 1/2)) (+ (* (* +nan.0 (sqrt (/ 1 (* n (* 2 PI))))) (/ (* -1/2 (* (sqrt (* n (* 2 PI))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) (- (* +nan.0 (* (* (log (* 2 (* n PI))) (* (sqrt 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) (- (* +nan.0 (* (* (log (* 2 (* n PI))) (* (sqrt 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))))) in n * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) (- (* +nan.0 (* (* (log (* 2 (* n PI))) (* (sqrt 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n * [misc]taylor: Taking taylor expansion of (* n PI) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2 (* n PI))) (* (sqrt 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log (* 2 (* n PI))) (* (sqrt 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (* (log (* 2 (* n PI))) (* (sqrt 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (* (sqrt 2) (pow (sqrt 1/2) 2))) in n * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* n PI) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (sqrt 1/2) 2)) in n * [misc]taylor: Taking taylor expansion of (sqrt 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in n * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 2) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n * [misc]taylor: Taking taylor expansion of (* n PI) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (sqrt 2)) * [misc]backup-simplify: Simplify (* (+ (log (* 2 PI)) (log n)) (* (pow (sqrt 1/2) 2) (sqrt 2))) into (* (pow (sqrt 1/2) 2) (* (+ (log (* 2 PI)) (log n)) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (log (* 2 PI)) (log n)) 0) (* 0 (* (pow (sqrt 1/2) 2) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (pow (sqrt 1/2) 2) (* (+ (log (* 2 PI)) (log n)) (sqrt 2))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) PI)) (- (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log n) (sqrt 2))) PI))))) * [misc]backup-simplify: Simplify (* (* (pow (sqrt 1/2) 2) (* (+ (log (* 2 PI)) (log n)) (sqrt 2))) 0) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) PI)) (- (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log n) (sqrt 2))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) PI)) (- (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log n) (sqrt 2))) PI))))) * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) PI)) (- (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log n) (sqrt 2))) PI)))))) into (- (+ (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) PI)) (- (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log n) (sqrt 2))) PI))))) * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ (sqrt 1/2) PI))) (- (+ (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) PI)) (- (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log n) (sqrt 2))) PI)))))) into (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (+ (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log n) (sqrt 2))) PI)) (- (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) PI))))))) * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (+ (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log n) (sqrt 2))) PI)) (- (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) PI)))))))) into (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (+ (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log n) (sqrt 2))) PI)) (- (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) PI))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (+ (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log n) (sqrt 2))) PI)) (- (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) PI))))))) into (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (+ (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log n) (sqrt 2))) PI)) (- (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) PI))))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 PI) (/ 0 (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ +nan.0 (pow PI 2))) (+ (* 0 (/ +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (/ 1 (pow PI 2)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow PI 2)))) into (- (* +nan.0 (/ 1 (pow PI 2)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (+ (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log n) (sqrt 2))) PI)) (- (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ 1 PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ k PI)) (- (+ (* +nan.0 (/ (* n k) (pow PI 2))) (- (+ (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (pow k 2) (* (log n) (sqrt 2)))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2)))) PI))))))))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2))) in (k n) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) (sqrt (/ 1 k))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) into (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) into (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) into (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) into (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI n) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) * [misc]backup-simplify: Simplify (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) (/ 0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI n) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) * [misc]backup-simplify: Simplify (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log (* 2 PI)) (log n)) 0) (* 0 (- 1 (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) (/ 0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))) (/ 0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI n) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) * [misc]backup-simplify: Simplify (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (* 1 (/ 1 k))) (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))))))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2))) in (k n) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ -1 k)) into (/ 1 k) * [misc]backup-simplify: Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in k * [misc]taylor: Taking taylor expansion of (- n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ -1 n) (* 2 PI)) into (* -2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in k * [misc]taylor: Taking taylor expansion of (- n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ -1 n) (* 2 PI)) into (* -2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ PI n) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) into (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ PI n) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) into (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (+ 1 (/ 1 k)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ PI n) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) into (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) in (k n) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) in n * [misc]taylor: Taking taylor expansion of (sqrt k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 k) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) * [misc]backup-simplify: Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k)) * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 0 (* 2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))) into (* (sqrt k) (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt k) (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))))) into (* (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) in k * [misc]taylor: Taking taylor expansion of (sqrt k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 k) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) * [misc]backup-simplify: Simplify (/ +nan.0 (pow (* 2 (* n PI)) 1/2)) into (* +nan.0 (sqrt (/ 1 (* n (* 2 PI))))) * [misc]backup-simplify: Simplify (/ 1 (* +nan.0 (sqrt (/ 1 (* n (* 2 PI)))))) into (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2)))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) in k * [misc]taylor: Taking taylor expansion of (sqrt k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 k) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 k) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* n (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* n (* PI 2)) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) * [misc]backup-simplify: Simplify (/ +nan.0 (pow (* 2 (* n PI)) 1/2)) into (* +nan.0 (sqrt (/ 1 (* n (* 2 PI))))) * [misc]backup-simplify: Simplify (/ 1 (* +nan.0 (sqrt (/ 1 (* n (* 2 PI)))))) into (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2)))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2)))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (/ 1 (sqrt 1/2))) in n * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n * [misc]taylor: Taking taylor expansion of (* n PI) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 1/2)) in n * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 1/2)) into (/ 1 (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 0 (/ 1 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (* 2 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ -1 2) (+ (* 1/2 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* n (* 2 PI))) (log (* 2 (* n PI))))) * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (* 2 (* n PI)) 1/2)) (+ (* (* +nan.0 (sqrt (/ 1 (* n (* 2 PI))))) (/ (* -1/2 (* (sqrt (* n (* 2 PI))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) (- (* +nan.0 (* (* (log (* 2 (* n PI))) (* (sqrt 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))))) * [misc]backup-simplify: Simplify (- (+ (* (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2)))) (/ (- (+ (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) (- (* +nan.0 (* (* (log (* 2 (* n PI))) (* (sqrt 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))))) (* +nan.0 (sqrt (/ 1 (* n (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2)))) (- (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2)))) (- (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI))))))))) in n * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2)))) (- (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2)))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (/ 1 (sqrt 1/2))) in n * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n * [misc]taylor: Taking taylor expansion of (* n PI) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 1/2)) in n * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 1/2)) into (/ 1 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI))))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI))))) in n * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n * [misc]taylor: Taking taylor expansion of (* n PI) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n * [misc]taylor: Taking taylor expansion of (sqrt 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* n PI) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 0 (/ 1 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log (* 2 PI)) (log n))) into (* (+ (log (* 2 PI)) (log n)) (sqrt 2)) * [misc]backup-simplify: Simplify (* 0 (* (+ (log (* 2 PI)) (log n)) (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (/ 1 (sqrt 1/2)))) into (- (* +nan.0 (/ PI (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ PI (sqrt 1/2))))) (* 0 0)) into (- (* +nan.0 (/ PI (sqrt 1/2)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ PI (sqrt 1/2)))) into (- (* +nan.0 (/ PI (sqrt 1/2)))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n (* 2 PI))) (pow (log (* 2 (* n PI))) 2))) * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (* 2 (* n PI)) 1/2)) (+ (* (* +nan.0 (sqrt (/ 1 (* n (* 2 PI))))) (/ (* 1/8 (* (sqrt (* n (* 2 PI))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (- (+ (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) (- (* +nan.0 (* (* (log (* 2 (* n PI))) (* (sqrt 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))))) (/ (* -1/2 (* (sqrt (* n (* 2 PI))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) (- (+ (* +nan.0 (* (* (log (* 2 (* n PI))) (* (sqrt 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (* (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (* (pow (log (* 2 (* n PI))) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI)))))))))))) * [misc]backup-simplify: Simplify (- (+ (* (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2)))) (/ (- (+ (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) (- (+ (* +nan.0 (* (* (log (* 2 (* n PI))) (* (sqrt 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (* (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (* (pow (log (* 2 (* n PI))) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI)))))))))))) (* +nan.0 (sqrt (/ 1 (* n (* 2 PI))))))) (* (- (+ (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2)))) (- (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI))))))))) (/ (- (+ (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) (- (* +nan.0 (* (* (log (* 2 (* n PI))) (* (sqrt 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))))) (* +nan.0 (sqrt (/ 1 (* n (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 (* n PI))) 2) (* (pow (sqrt 2) 2) (sqrt 1/2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) (- (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 (* n PI))) 2) (* (pow (sqrt 2) 2) (sqrt 1/2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) (- (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))))))))))) in n * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 (* n PI))) 2) (* (pow (sqrt 2) 2) (sqrt 1/2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) (- (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)))))))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2)))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (/ 1 (sqrt 1/2))) in n * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n * [misc]taylor: Taking taylor expansion of (* n PI) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 1/2)) in n * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 1/2)) into (/ 1 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log (* 2 (* n PI))) 2) (* (pow (sqrt 2) 2) (sqrt 1/2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) (- (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))))))))) in n * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log (* 2 (* n PI))) 2) (* (pow (sqrt 2) 2) (sqrt 1/2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) (- (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)))))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (pow (log (* 2 (* n PI))) 2) (* (pow (sqrt 2) 2) (sqrt 1/2))) (sqrt (* n PI)))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (* (pow (log (* 2 (* n PI))) 2) (* (pow (sqrt 2) 2) (sqrt 1/2))) (sqrt (* n PI))) in n * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 2) (* (pow (sqrt 2) 2) (sqrt 1/2))) in n * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log (* 2 (* n PI)))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (log (* 2 (* n PI))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log (* 2 (* n PI)))) in n * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* n PI) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (log (+ (log (* 2 PI)) (log n))) into (log (+ (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 2 (log (+ (log (* 2 PI)) (log n)))) into (* 2 (log (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (log (* 2 PI)) (log n))))) into (pow (+ (log (* 2 PI)) (log n)) 2) * [misc]taylor: Taking taylor expansion of (* (pow (sqrt 2) 2) (sqrt 1/2)) in n * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in n * [misc]taylor: Taking taylor expansion of (sqrt 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2) * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n * [misc]taylor: Taking taylor expansion of (* n PI) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) (- (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))))))) in n * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) (- (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI))))) in n * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n * [misc]taylor: Taking taylor expansion of (* n PI) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n * [misc]taylor: Taking taylor expansion of (sqrt 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* n PI) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) in n * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n * [misc]taylor: Taking taylor expansion of (* n PI) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n * [misc]taylor: Taking taylor expansion of (sqrt 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log (* 2 (* n PI)))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (log (* 2 (* n PI))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log (* 2 (* n PI)))) in n * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* n PI) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (log (+ (log (* 2 PI)) (log n))) into (log (+ (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 2 (log (+ (log (* 2 PI)) (log n)))) into (* 2 (log (+ (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ (log (* 2 PI)) (log n))))) into (pow (+ (log (* 2 PI)) (log n)) 2) * [misc]backup-simplify: Simplify (* 0 (/ 1 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 2) (sqrt 1/2)) into (* (sqrt 1/2) (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (* (pow (+ (log (* 2 PI)) (log n)) 2) (* (sqrt 1/2) (pow (sqrt 2) 2))) into (* (sqrt 1/2) (* (pow (+ (log (* 2 PI)) (log n)) 2) (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (* (* (sqrt 1/2) (* (pow (+ (log (* 2 PI)) (log n)) 2) (pow (sqrt 2) 2))) 0) into 0 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log (* 2 PI)) (log n))) into (* (+ (log (* 2 PI)) (log n)) (sqrt 2)) * [misc]backup-simplify: Simplify (* 0 (* (+ (log (* 2 PI)) (log n)) (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log (* 2 PI)) (log n)) 2)) into (* (pow (+ (log (* 2 PI)) (log n)) 2) (sqrt 2)) * [misc]backup-simplify: Simplify (* 0 (* (pow (+ (log (* 2 PI)) (log n)) 2) (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (/ 1 (sqrt 1/2)))) into (- (* +nan.0 (/ PI (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ PI (sqrt 1/2))))) (* 0 0)) into (- (* +nan.0 (/ PI (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log (* 2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (* (+ (log (* 2 PI)) (log n)) (sqrt 2)))) into (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2))))))) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2)))))))) (* 0 0)) into (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2))))))) * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2)))))))) into (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2))))))) * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ PI (sqrt 1/2)))) (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2)))))))) into (- (+ (* +nan.0 (/ PI (sqrt 1/2))) (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2))))))))) * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ PI (sqrt 1/2))) (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2)))))))))) into (- (+ (* +nan.0 (/ PI (sqrt 1/2))) (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ PI (sqrt 1/2))) (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2))))))))) into (- (+ (* +nan.0 (/ PI (sqrt 1/2))) (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2))))))))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 0) (* (* +nan.0 (pow PI 2)) (/ 1 (sqrt 1/2))))) into (- (* +nan.0 (/ (pow PI 2) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (pow PI 2) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ PI (sqrt 1/2))))) (* 0 0))) into (- (* +nan.0 (/ (pow PI 2) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (pow PI 2) (sqrt 1/2)))) into (- (* +nan.0 (/ (pow PI 2) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (pow PI 2) (sqrt 1/2)))) (* (pow n 2) (/ 1 k))) (+ (* (- (+ (* +nan.0 (/ PI (sqrt 1/2))) (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2))))))))) (* n 1)) (* (- (* +nan.0 (/ PI (sqrt 1/2)))) (* n (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (pow n 2) (pow PI 2)) (* k (sqrt 1/2)))) (- (+ (* +nan.0 (/ (* n PI) (* k (sqrt 1/2)))) (- (+ (* +nan.0 (* n (* PI (* (log n) (sqrt 2))))) (- (+ (* +nan.0 (/ (* n PI) (sqrt 1/2))) (- (* +nan.0 (* n (* PI (* (log (* 2 PI)) (sqrt 2)))))))))))))) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)))) in (k n) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* 1 (* 2 PI)) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) (sqrt (/ 1 k))) * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) (sqrt (/ 1 k)))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) into (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) into (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) * [misc]backup-simplify: Simplify (/ 1 (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))) into (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) into (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) into (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) * [misc]backup-simplify: Simplify (/ 1 (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))) into (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI n) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) * [misc]backup-simplify: Simplify (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) (/ 0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))) * [misc]backup-simplify: Simplify (- (+ (* (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) (/ (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))) (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI n) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) * [misc]backup-simplify: Simplify (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log (* 2 PI)) (log n)) 0) (* 0 (- 1 (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) (/ 0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))) (/ 0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))) * [misc]backup-simplify: Simplify (- (+ (* (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) (/ (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))) (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))) (* (- (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))) (/ (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))) (/ +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI n) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) * [misc]backup-simplify: Simplify (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)))) in (k n) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (/ -1 k)) into (/ 1 k) * [misc]backup-simplify: Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k)) * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k))) * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* -1 (* 2 PI)) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in k * [misc]taylor: Taking taylor expansion of (- n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ -1 n) (* 2 PI)) into (* -2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) * [misc]backup-simplify: Simplify (/ 1 (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of 1 in k * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in k * [misc]taylor: Taking taylor expansion of (- n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (* (/ -1 n) (* 2 PI)) into (* -2 (/ PI n)) * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) * [misc]backup-simplify: Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) * [misc]backup-simplify: Simplify (/ 1 (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ PI n) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) into (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))) * [misc]backup-simplify: Simplify (- (+ (* (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) (/ (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))) (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ PI n) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) into (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (+ (* (+ 1 (/ 1 k)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))) * [misc]backup-simplify: Simplify (- (+ (* (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) (/ (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))) (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))) (* (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))) (/ (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))) (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))) in n * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) in n * [misc]taylor: Taking taylor expansion of +nan.0 in n * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ PI n) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) * [misc]backup-simplify: Simplify (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) into (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) * [misc]backup-simplify: Simplify (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (expm1 (* (* n 2) PI)) * [exit]simplify: Simplified to (expm1 (* (* n 2) PI)) * * * * [misc]progress: [ 2 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log1p (* (* n 2) PI)) * [exit]simplify: Simplified to (log1p (* (* n 2) PI)) * * * * [misc]progress: [ 3 / 113 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (log (* (* PI n) 2)) * [exit]simplify: Simplified to (log (* (* PI n) 2)) * * * * [misc]progress: [ 5 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (pow (exp 2) (* PI n)) * [exit]simplify: Simplified to (pow (exp 2) (* PI n)) * * * * [misc]progress: [ 6 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* n (* PI 2))) (cbrt (* n (* PI 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* PI n) 2)) (cbrt (* (* PI n) 2))) * [exit]simplify: Simplified to (* (cbrt (* (* PI n) 2)) (cbrt (* (* PI n) 2))) * [enter]simplify: Simplifying (cbrt (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (* n 2) PI)) * [exit]simplify: Simplified to (cbrt (* (* n 2) PI)) * * * * [misc]progress: [ 7 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (pow (* (* PI n) 2) 3) * [exit]simplify: Simplified to (pow (* (* PI n) 2) 3) * * * * [misc]progress: [ 8 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * [enter]simplify: Simplifying (sqrt (* n (* PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * [exit]simplify: Simplified to (sqrt (* (* n 2) PI)) * * * * [misc]progress: [ 9 / 113 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (* n PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* PI n) * [exit]simplify: Simplified to (* PI n) * * * * [misc]progress: [ 11 / 113 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (expm1 (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (expm1 (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 13 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (log1p (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (log1p (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 14 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* n (* PI 2))) (/ (- 1 k) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * [exit]simplify: Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2)))) * [exit]simplify: Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2)))) * * * * [misc]progress: [ 15 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* n (* PI 2))) (/ (- 1 k) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * [exit]simplify: Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2)))) * [exit]simplify: Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2)))) * * * * [misc]progress: [ 16 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ (- 1 k) 2)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (- 1 k) 2) * [exit]simplify: Simplified to (/ (- 1 k) 2) * * * * [misc]progress: [ 17 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* n (* PI 2)) (/ 1 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (pow (* 2 (* PI n)) (/ 1 2)) * [exit]simplify: Simplified to (pow (* 2 (* PI n)) (/ 1 2)) * [enter]simplify: Simplifying (pow (* n (* PI 2)) (/ k 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (pow (* (* PI n) 2) (/ k 2)) * [exit]simplify: Simplified to (pow (* (* PI n) 2) (/ k 2)) * * * * [misc]progress: [ 18 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* n (* PI 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (pow (* PI (* n 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (pow (* PI (* n 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) * * * * [misc]progress: [ 19 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* n (* PI 2)) (sqrt (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (pow (* (* n 2) PI) (sqrt (/ (- 1 k) 2))) * [exit]simplify: Simplified to (pow (* (* n 2) PI) (sqrt (/ (- 1 k) 2))) * * * * [misc]progress: [ 20 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* n (* PI 2)) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (* (* PI n) 2) * [exit]simplify: Simplified to (* (* PI n) 2) * * * * [misc]progress: [ 21 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* n (* PI 2)) (- 1 k)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- 1 k)) * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- 1 k)) * * * * [misc]progress: [ 22 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (pow n (/ (- 1 k) 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (pow n (/ (- 1 k) 2)) * [exit]simplify: Simplified to (pow n (/ (- 1 k) 2)) * [enter]simplify: Simplifying (pow (* PI 2) (/ (- 1 k) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) * [exit]simplify: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) * * * * [misc]progress: [ 23 / 113 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * [exit]simplify: Simplified to (* (/ (- 1 k) 2) (log (* (* n 2) PI))) * [exit]simplify: Simplified to (* (/ (- 1 k) 2) (log (* (* n 2) PI))) * * * * [misc]progress: [ 25 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (exp (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (exp (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 26 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) * [enter]simplify: Simplifying (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 27 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (pow (pow (* (* n 2) PI) (/ (- 1 k) 2)) 3) * [exit]simplify: Simplified to (pow (pow (* (* n 2) PI) (/ (- 1 k) 2)) 3) * * * * [misc]progress: [ 28 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [enter]simplify: Simplifying (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 29 / 113 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (expm1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (expm1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 31 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (log1p (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (log1p (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 32 / 113 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (fma (log (* (* n PI) 2)) (- (/ (- 1 k) 2)) (log (sqrt k))) * [exit]simplify: Simplified to (fma (log (* (* n PI) 2)) (- (/ (- 1 k) 2)) (log (sqrt k))) * * * * [misc]progress: [ 34 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (fma (log (* (* n PI) 2)) (- (/ (- 1 k) 2)) (log (sqrt k))) * [exit]simplify: Simplified to (fma (log (* (* n PI) 2)) (- (/ (- 1 k) 2)) (log (sqrt k))) * * * * [misc]progress: [ 35 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (fma (/ (- k 1) 2) (log (* (* n 2) PI)) (log (sqrt k))) * [exit]simplify: Simplified to (fma (/ (- k 1) 2) (log (* (* n 2) PI)) (log (sqrt k))) * * * * [misc]progress: [ 36 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * [exit]simplify: Simplified to (fma (- (/ k 2) (/ 1 2)) (log (* 2 (* n PI))) (log (sqrt k))) * [exit]simplify: Simplified to (fma (- (/ k 2) (/ 1 2)) (log (* 2 (* n PI))) (log (sqrt k))) * * * * [misc]progress: [ 37 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (exp (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (exp (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 38 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 39 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 40 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt k) k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (/ (* (sqrt k) k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 41 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 42 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt k)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt k)) * [exit]simplify: Simplified to (- (sqrt k)) * [enter]simplify: Simplifying (- (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (- (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (- (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 43 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))) * * * * [misc]progress: [ 44 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 45 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 46 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 47 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))) * * * * [misc]progress: [ 48 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 49 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 50 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt k)) * [exit]simplify: Simplified to (sqrt (sqrt k)) * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 51 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow n (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (pow n (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ 1 (pow n (/ (- 1 k) 2))) * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) * * * * [misc]progress: [ 52 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 53 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 54 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2))) * * * * [misc]progress: [ 55 / 113 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ 1 (pow (* 2 (* PI n)) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ 1 (pow (* 2 (* PI n)) (/ (- 1 k) 2))) * * * * [misc]progress: [ 57 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) * * * * [misc]progress: [ 58 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (pow n (/ (- 1 k) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (pow n (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ (sqrt k) (pow n (/ (- 1 k) 2))) * * * * [misc]progress: [ 59 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt k) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt k) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 60 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 61 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (sqrt k) * [exit]simplify: Simplified to (sqrt k) * * * * [misc]progress: [ 62 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))) * * * * [misc]progress: [ 63 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) * * * * [misc]progress: [ 64 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) * * * * [misc]progress: [ 65 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (/ 1 2))) * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (/ 1 2))) * * * * [misc]progress: [ 66 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (expm1 (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) * [exit]simplify: Simplified to (expm1 (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) * * * * [misc]progress: [ 67 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (log1p (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) * [exit]simplify: Simplified to (log1p (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) * * * * [misc]progress: [ 68 / 113 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 70 / 113 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (+ (* (log (* (* n 2) PI)) (/ (- 1 k) 2)) (- (log (sqrt k)))) * [exit]simplify: Simplified to (+ (* (log (* (* n 2) PI)) (/ (- 1 k) 2)) (- (log (sqrt k)))) * * * * [misc]progress: [ 72 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (+ (* (log (* (* n 2) PI)) (/ (- 1 k) 2)) (- (log (sqrt k)))) * [exit]simplify: Simplified to (+ (* (log (* (* n 2) PI)) (/ (- 1 k) 2)) (- (log (sqrt k)))) * * * * [misc]progress: [ 73 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqrt k)) (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * [exit]simplify: Simplified to (+ (* (/ (- 1 k) 2) (log (* (* n PI) 2))) (- (log (sqrt k)))) * [exit]simplify: Simplified to (+ (* (/ (- 1 k) 2) (log (* (* n PI) 2))) (- (log (sqrt k)))) * * * * [misc]progress: [ 74 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * [exit]simplify: Simplified to (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))) * [exit]simplify: Simplified to (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))) * * * * [misc]progress: [ 75 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (fma (/ (- 1 k) 2) (log (* 2 (* n PI))) (- (log (sqrt k)))) * [exit]simplify: Simplified to (fma (/ (- 1 k) 2) (log (* 2 (* n PI))) (- (log (sqrt k)))) * * * * [misc]progress: [ 76 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (pow (exp (/ 1 (sqrt k))) (pow (* PI (* n 2)) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (pow (exp (/ 1 (sqrt k))) (pow (* PI (* n 2)) (/ (- 1 k) 2))) * * * * [misc]progress: [ 77 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))) * [exit]simplify: Simplified to (* (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))) * [enter]simplify: Simplifying (cbrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) * [exit]simplify: Simplified to (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) * * * * [misc]progress: [ 78 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (/ (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (* (sqrt k) k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (/ (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (* (sqrt k) k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 79 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) * [exit]simplify: Simplified to (sqrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) * [enter]simplify: Simplifying (sqrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) * [exit]simplify: Simplified to (sqrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) * * * * [misc]progress: [ 80 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (- (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ (- (sqrt k)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 81 / 113 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) * * * * [misc]progress: [ 83 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 84 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) * * * * [misc]progress: [ 85 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) * * * * [misc]progress: [ 86 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * * * [misc]progress: [ 87 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) * * * * [misc]progress: [ 88 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * * * [misc]progress: [ 89 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) * * * * [misc]progress: [ 90 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) * * * * [misc]progress: [ 91 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))) * * * * [misc]progress: [ 92 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) * * * * [misc]progress: [ 93 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) * * * * [misc]progress: [ 94 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (pow n (/ (- 1 k) 2)) * [exit]simplify: Simplified to (pow n (/ (- 1 k) 2)) * * * * [misc]progress: [ 95 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * [exit]simplify: Simplified to (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) * * * * [misc]progress: [ 96 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) * * * * [misc]progress: [ 97 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 98 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 99 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt k)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt k)) * [exit]simplify: Simplified to (/ 1 (sqrt k)) * * * * [misc]progress: [ 100 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (pow (* 2 (* n PI)) (/ 1 2)) (sqrt k)) * [exit]simplify: Simplified to (/ (pow (* 2 (* n PI)) (/ 1 2)) (sqrt k)) * * * * [misc]progress: [ 101 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt k)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt k)) * [exit]simplify: Simplified to (/ 1 (sqrt k)) * * * * [misc]progress: [ 102 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) * * * * [misc]progress: [ 103 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) * * * * [misc]progress: [ 104 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) * * * * [misc]progress: [ 105 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (- (+ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (* 1/4 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (log n) (pow k 2)))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (/ (+ (* (* 1/8 (* (pow (* PI 2) 1/2) (* (pow n 1/2) (* k k)))) (+ (* (log n) (log n)) (* (log (* PI 2)) (log (* PI 2))))) (- (fma (* (* (* k k) (log n)) (log (* PI 2))) (* (pow (* PI 2) 1/2) (* (pow n 1/2) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2))) (* (* (pow (* PI 2) 1/2) (* (pow n 1/2) 1/2)) (fma (log (* PI 2)) k (* (log n) k))))) (sqrt k)) * * * * [misc]progress: [ 106 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- 1/2 (* 1/2 k))) (+ (log (* PI 2)) (log n))) (sqrt k)) * * * * [misc]progress: [ 107 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* PI -2)) (log (/ -1 n)))) (sqrt k)) * * * * [misc]progress: [ 108 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (+ (* +nan.0 (/ k PI)) (- (+ (* +nan.0 (/ (* n k) (pow PI 2))) (- (+ (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (pow k 2) (* (log n) (sqrt 2)))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (* +nan.0 (/ (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2)))) PI)))))))))))) * * * * [misc]progress: [ 109 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))))))))) * * * * [misc]progress: [ 110 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))))))))) * * * * [misc]progress: [ 111 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (pow n 2) (pow PI 2)) (* k (sqrt 1/2)))) (- (+ (* +nan.0 (/ (* n PI) (* k (sqrt 1/2)))) (- (+ (* +nan.0 (* n (* PI (* (log n) (sqrt 2))))) (- (+ (* +nan.0 (/ (* n PI) (sqrt 1/2))) (- (* +nan.0 (* n (* PI (* (log (* 2 PI)) (sqrt 2)))))))))))))) * * * * [misc]progress: [ 112 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))) * * * * [misc]progress: [ 113 / 113 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) in (k) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) in k * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ k 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ k 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ k 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ k 2) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) 1) into (sqrt (* 2 PI)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt k)) in k * [misc]taylor: Taking taylor expansion of (sqrt k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (sqrt (* 2 PI)) +nan.0) into (* +nan.0 (* (sqrt PI) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) in k * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ k 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ k 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ k 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ k 2) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) 1) into (sqrt (* 2 PI)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt k)) in k * [misc]taylor: Taking taylor expansion of (sqrt k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (sqrt (* 2 PI)) +nan.0) into (* +nan.0 (* (sqrt PI) (sqrt 2))) * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt PI) (sqrt 2))) into (* +nan.0 (* (sqrt PI) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (log (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 PI))) 1) 1)))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (* 2 PI)) (/ (* 1/2 (log (* 2 PI))) 1)))) into (- (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))) * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))) +nan.0) (+ (* (* +nan.0 (* (sqrt PI) (sqrt 2))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (sqrt PI) (sqrt 2))) (- (* +nan.0 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt PI) (sqrt 2))) (- (* +nan.0 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))))) into (- (+ (* +nan.0 (* (sqrt PI) (sqrt 2))) (- (* +nan.0 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (log (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (* 2 PI)) 2)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (* 2 PI)) (/ (* 1/8 (pow (log (* 2 PI)) 2)) 1)) (* (- (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))) (/ (* 1/2 (log (* 2 PI))) 1)))) into (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) +nan.0) (+ (* (* +nan.0 (* (sqrt PI) (sqrt 2))) (/ +nan.0 +nan.0)) (* (- (+ (* +nan.0 (* (sqrt PI) (sqrt 2))) (- (* +nan.0 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (sqrt PI) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (- (* +nan.0 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt PI) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (- (* +nan.0 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))))))) into (- (+ (* +nan.0 (* (sqrt PI) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (- (* +nan.0 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt PI) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (- (* +nan.0 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))))))) k) (+ (- (+ (* +nan.0 (* (sqrt PI) (sqrt 2))) (- (* +nan.0 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))))) (* (* +nan.0 (* (sqrt PI) (sqrt 2))) (/ 1 k)))) into (- (+ (* +nan.0 (* (sqrt PI) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt PI) (* k (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt PI) (* (log (* 2 PI)) (* k (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt PI) (/ (sqrt 2) k))) (- (+ (* +nan.0 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (* k (sqrt 2))))) (- (* +nan.0 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))))))))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in (k) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) in k * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ (/ 1 k) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 k) 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ (/ 1 k) 2) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 k) 2) (log (* PI 2)))) into (exp (* 1/2 (/ (log (* 2 PI)) k))) * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) (exp (* 1/2 (/ (log (* 2 PI)) k)))) into (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (sqrt +nan.0)) into (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (sqrt +nan.0))) (sqrt PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) in k * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ (/ 1 k) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 k) 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ (/ 1 k) 2) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 k) 2) (log (* PI 2)))) into (exp (* 1/2 (/ (log (* 2 PI)) k))) * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) (exp (* 1/2 (/ (log (* 2 PI)) k)))) into (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (sqrt +nan.0)) into (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (sqrt +nan.0))) (sqrt PI)) * [misc]backup-simplify: Simplify (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (sqrt +nan.0))) (sqrt PI)) into (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (sqrt +nan.0))) (sqrt PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (log (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (+ (* (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (/ 0 (exp (* 1/2 (/ (log (* 2 PI)) k))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt +nan.0)) (+ (* (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (sqrt +nan.0))) (sqrt PI)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (pow (sqrt +nan.0) 3))) (sqrt PI)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (pow (sqrt +nan.0) 3))) (sqrt PI)))) into (- (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (pow (sqrt +nan.0) 3))) (sqrt PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (+ (* (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (/ 0 (exp (* 1/2 (/ (log (* 2 PI)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (log (* 2 PI)) k))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt +nan.0)) (+ (* (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (sqrt +nan.0))) (sqrt PI)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (pow (sqrt +nan.0) 3))) (sqrt PI)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (pow (sqrt +nan.0) 3))) (sqrt PI))) (- (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (pow (sqrt +nan.0) 5))) (sqrt PI)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (pow (sqrt +nan.0) 3))) (sqrt PI))) (- (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (pow (sqrt +nan.0) 5))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (pow (sqrt +nan.0) 3))) (sqrt PI))) (- (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (pow (sqrt +nan.0) 5))) (sqrt PI)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) (/ 1 k)))) (pow (sqrt +nan.0) 3))) (sqrt PI))) (- (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) (/ 1 k)))) (pow (sqrt +nan.0) 5))) (sqrt PI)))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) (/ 1 k)))) (pow (sqrt +nan.0) 3))) (sqrt PI)))) (/ 1 k)) (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) (/ 1 k)))) (sqrt +nan.0))) (sqrt PI)))) into (- (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (sqrt +nan.0))) (sqrt PI)) (+ (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow (sqrt +nan.0) 5) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow (sqrt +nan.0) 3) k))) (sqrt PI))) (- (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (sqrt PI)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in (k) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) in k * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ (/ 1 (- k)) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- k)) 2) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 (- k)) 2) (log (* PI 2)))) into (exp (* -1/2 (/ (log (* 2 PI)) k))) * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) (exp (* -1/2 (/ (log (* 2 PI)) k)))) into (* (sqrt (* 2 PI)) (/ 1 (exp (* -1/2 (/ (log (* 2 PI)) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (* (sqrt (* 2 PI)) (/ 1 (exp (* -1/2 (/ (log (* 2 PI)) k))))) (sqrt +nan.0)) into (* (sqrt PI) (/ (sqrt 2) (* (sqrt +nan.0) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) in k * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ (/ 1 (- k)) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- k)) 2) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 (- k)) 2) (log (* PI 2)))) into (exp (* -1/2 (/ (log (* 2 PI)) k))) * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) (exp (* -1/2 (/ (log (* 2 PI)) k)))) into (* (sqrt (* 2 PI)) (/ 1 (exp (* -1/2 (/ (log (* 2 PI)) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (* (sqrt (* 2 PI)) (/ 1 (exp (* -1/2 (/ (log (* 2 PI)) k))))) (sqrt +nan.0)) into (* (sqrt PI) (/ (sqrt 2) (* (sqrt +nan.0) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) * [misc]backup-simplify: Simplify (* (sqrt PI) (/ (sqrt 2) (* (sqrt +nan.0) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) into (* (sqrt PI) (/ (sqrt 2) (* (sqrt +nan.0) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (log (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (log (* 2 PI)) k)))) (+ (* (* (sqrt (* 2 PI)) (/ 1 (exp (* -1/2 (/ (log (* 2 PI)) k))))) (/ 0 (exp (* -1/2 (/ (log (* 2 PI)) k))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt +nan.0)) (+ (* (* (sqrt PI) (/ (sqrt 2) (* (sqrt +nan.0) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (* +nan.0 (* (sqrt PI) (/ (sqrt 2) (* (pow (sqrt +nan.0) 3) (exp (* -1/2 (/ (log (* 2 PI)) k)))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt PI) (/ (sqrt 2) (* (pow (sqrt +nan.0) 3) (exp (* -1/2 (/ (log (* 2 PI)) k)))))))) into (- (* +nan.0 (* (sqrt PI) (/ (sqrt 2) (* (pow (sqrt +nan.0) 3) (exp (* -1/2 (/ (log (* 2 PI)) k)))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (log (* 2 PI)) k)))) (+ (* (* (sqrt (* 2 PI)) (/ 1 (exp (* -1/2 (/ (log (* 2 PI)) k))))) (/ 0 (exp (* -1/2 (/ (log (* 2 PI)) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log (* 2 PI)) k))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt +nan.0)) (+ (* (* (sqrt PI) (/ (sqrt 2) (* (sqrt +nan.0) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (* +nan.0 (* (sqrt PI) (/ (sqrt 2) (* (pow (sqrt +nan.0) 3) (exp (* -1/2 (/ (log (* 2 PI)) k)))))))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (* (sqrt PI) (/ (sqrt 2) (* (pow (sqrt +nan.0) 5) (exp (* -1/2 (/ (log (* 2 PI)) k))))))) (- (* +nan.0 (* (sqrt PI) (/ (sqrt 2) (* (pow (sqrt +nan.0) 3) (exp (* -1/2 (/ (log (* 2 PI)) k)))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt PI) (/ (sqrt 2) (* (pow (sqrt +nan.0) 5) (exp (* -1/2 (/ (log (* 2 PI)) k))))))) (- (* +nan.0 (* (sqrt PI) (/ (sqrt 2) (* (pow (sqrt +nan.0) 3) (exp (* -1/2 (/ (log (* 2 PI)) k)))))))))) into (- (+ (* +nan.0 (* (sqrt PI) (/ (sqrt 2) (* (pow (sqrt +nan.0) 5) (exp (* -1/2 (/ (log (* 2 PI)) k))))))) (- (* +nan.0 (* (sqrt PI) (/ (sqrt 2) (* (pow (sqrt +nan.0) 3) (exp (* -1/2 (/ (log (* 2 PI)) k)))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt PI) (/ (sqrt 2) (* (pow (sqrt +nan.0) 5) (exp (* -1/2 (/ (log (* 2 PI)) (/ 1 (- k))))))))) (- (* +nan.0 (* (sqrt PI) (/ (sqrt 2) (* (pow (sqrt +nan.0) 3) (exp (* -1/2 (/ (log (* 2 PI)) (/ 1 (- k)))))))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (sqrt PI) (/ (sqrt 2) (* (pow (sqrt +nan.0) 3) (exp (* -1/2 (/ (log (* 2 PI)) (/ 1 (- k)))))))))) (/ 1 (- k))) (* (sqrt PI) (/ (sqrt 2) (* (sqrt +nan.0) (exp (* -1/2 (/ (log (* 2 PI)) (/ 1 (- k)))))))))) into (- (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (sqrt +nan.0))) (sqrt PI)) (+ (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow (sqrt +nan.0) 5) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow (sqrt +nan.0) 3) k))) (sqrt PI))) (- (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (sqrt PI)))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) in k * [misc]taylor: Taking taylor expansion of (/ (pow n (/ 1 2)) (pow n (/ k 2))) in k * [misc]taylor: Taking taylor expansion of (pow n (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log n))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log n)) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) * [misc]taylor: Taking taylor expansion of (pow n (/ k 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ k 2) (log n))) in k * [misc]taylor: Taking taylor expansion of (* (/ k 2) (log n)) in k * [misc]taylor: Taking taylor expansion of (/ k 2) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ (pow n 1/2) 1) into (sqrt n) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt k)) in k * [misc]taylor: Taking taylor expansion of (sqrt k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (sqrt n) +nan.0) into (* +nan.0 (sqrt n)) * [misc]taylor: Taking taylor expansion of (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) in n * [misc]taylor: Taking taylor expansion of (/ (pow n (/ 1 2)) (pow n (/ k 2))) in n * [misc]taylor: Taking taylor expansion of (pow n (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log n))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) * [misc]taylor: Taking taylor expansion of (pow n (/ k 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ k 2) (log n))) in n * [misc]taylor: Taking taylor expansion of (* (/ k 2) (log n)) in n * [misc]taylor: Taking taylor expansion of (/ k 2) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ k 2) into (* 1/2 k) * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* (* 1/2 k) (log n)) into (* 1/2 (* k (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* k (log n)))) into (exp (* 1/2 (* k (log n)))) * [misc]backup-simplify: Simplify (/ (pow n 1/2) (exp (* 1/2 (* k (log n))))) into (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt k)) in n * [misc]taylor: Taking taylor expansion of (sqrt k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt k)) into (pow k 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt k)))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (pow k 1/4)) into (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) in n * [misc]taylor: Taking taylor expansion of (/ (pow n (/ 1 2)) (pow n (/ k 2))) in n * [misc]taylor: Taking taylor expansion of (pow n (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log n))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) * [misc]taylor: Taking taylor expansion of (pow n (/ k 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ k 2) (log n))) in n * [misc]taylor: Taking taylor expansion of (* (/ k 2) (log n)) in n * [misc]taylor: Taking taylor expansion of (/ k 2) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ k 2) into (* 1/2 k) * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* (* 1/2 k) (log n)) into (* 1/2 (* k (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* k (log n)))) into (exp (* 1/2 (* k (log n)))) * [misc]backup-simplify: Simplify (/ (pow n 1/2) (exp (* 1/2 (* k (log n))))) into (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt k)) in n * [misc]taylor: Taking taylor expansion of (sqrt k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt k)) into (pow k 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt k)))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (pow k 1/4)) into (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) * [misc]taylor: Taking taylor expansion of (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) in k * [misc]taylor: Taking taylor expansion of (sqrt n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (sqrt n) into (sqrt n) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt n))) into 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n)))))) in k * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k * [misc]taylor: Taking taylor expansion of 1/4 in k * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* 1/2 (* k (log n))))) in k * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* k (log n)))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (* k (log n))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* k (log n)) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 0 (log n)) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log n))) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/2 (log n)) (* 0 0)) into (* 1/2 (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* k (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* k (log n))))) (+ (* (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (/ 0 (exp (* 1/2 (* k (log n)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) (/ 0 (pow k 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow k -1/4) 1) into (pow (/ 1 k) 1/4) * [misc]backup-simplify: Simplify (* (sqrt n) (pow (/ 1 k) 1/4)) into (* (sqrt n) (pow (/ 1 k) 1/4)) * [misc]backup-simplify: Simplify (* (sqrt n) (pow (/ 1 k) 1/4)) into (* (sqrt n) (pow (/ 1 k) 1/4)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* k (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* k (log n))))) (+ (* (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (/ 0 (exp (* 1/2 (* k (log n)))))) (* 0 (/ 0 (exp (* 1/2 (* k (log n)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow k 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log n)) 1) 1)))) into (* 1/2 (log n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (* 1/2 (log n)) 1)))) into (- (* 1/2 (log n))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow k -1/4) (- (* 1/2 (log n)))) (* 0 1)) into (- (* 1/2 (* (pow (/ 1 k) 1/4) (log n)))) * [misc]backup-simplify: Simplify (+ (* (sqrt n) (- (* 1/2 (* (pow (/ 1 k) 1/4) (log n))))) (* 0 (pow (/ 1 k) 1/4))) into (- (* 1/2 (* (sqrt n) (* (pow (/ 1 k) 1/4) (log n))))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sqrt n) (* (pow (/ 1 k) 1/4) (log n))))) into (- (* 1/2 (* (sqrt n) (* (pow (/ 1 k) 1/4) (log n))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* k (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* k (log n))))) (+ (* (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (/ 0 (exp (* 1/2 (* k (log n)))))) (* 0 (/ 0 (exp (* 1/2 (* k (log n)))))) (* 0 (/ 0 (exp (* 1/2 (* k (log n)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow k 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (log n)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log n) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (* 1/8 (pow (log n) 2)) 1)) (* (- (* 1/2 (log n))) (/ (* 1/2 (log n)) 1)))) into (* 1/8 (pow (log n) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow k -1/4) (* 1/8 (pow (log n) 2))) (+ (* 0 (- (* 1/2 (log n)))) (* 0 1))) into (* 1/8 (* (pow (/ 1 k) 1/4) (pow (log n) 2))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt n))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt n) (* 1/8 (* (pow (/ 1 k) 1/4) (pow (log n) 2)))) (+ (* 0 (- (* 1/2 (* (pow (/ 1 k) 1/4) (log n))))) (* 0 (pow (/ 1 k) 1/4)))) into (* 1/8 (* (sqrt n) (* (pow (/ 1 k) 1/4) (pow (log n) 2)))) * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (* (pow (/ 1 k) 1/4) (pow (log n) 2)))) into (* 1/8 (* (sqrt n) (* (pow (/ 1 k) 1/4) (pow (log n) 2)))) * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (* (pow (/ 1 k) 1/4) (pow (log n) 2)))) (pow (* k 1) 2)) (+ (* (- (* 1/2 (* (sqrt n) (* (pow (/ 1 k) 1/4) (log n))))) (* k 1)) (* (sqrt n) (pow (/ 1 k) 1/4)))) into (- (+ (* (sqrt n) (pow (/ 1 k) 1/4)) (* 1/8 (* (sqrt n) (* (pow (pow k 7) 1/4) (pow (log n) 2))))) (* 1/2 (* (sqrt n) (* (pow (pow k 3) 1/4) (log n))))) * [misc]approximate: Taking taylor expansion of (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) in k * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 n)))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (/ 1 n))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k * [misc]taylor: Taking taylor expansion of (/ 1 n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (log (/ 1 n))) into (* 1/2 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (/ 1 n)))) into (pow (/ 1 n) 1/2) * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (/ (/ 1 k) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) in k * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 k) 2) (log (/ 1 n))) in k * [misc]taylor: Taking taylor expansion of (/ (/ 1 k) 2) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k * [misc]taylor: Taking taylor expansion of (/ 1 n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (log (/ 1 n))) into (* 1/2 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) into (exp (* 1/2 (/ (log (/ 1 n)) k))) * [misc]backup-simplify: Simplify (/ (pow (/ 1 n) 1/2) (exp (* 1/2 (/ (log (/ 1 n)) k)))) into (* (sqrt (/ 1 n)) (/ 1 (exp (* 1/2 (/ (log (/ 1 n)) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 n)) (/ 1 (exp (* 1/2 (/ (log (/ 1 n)) k))))) (sqrt +nan.0)) into (* (sqrt (/ 1 n)) (/ 1 (* (sqrt +nan.0) (exp (* 1/2 (/ (log (/ 1 n)) k)))))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log n))) into (* -1/2 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/2 (log n))) into (pow n -1/2) * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (/ (/ 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 k) 2) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 k) 2) into (/ 1/2 k) * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log n))) into (* -1/2 (/ (log n) k)) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log n) k))) into (exp (* -1/2 (/ (log n) k))) * [misc]backup-simplify: Simplify (/ (pow n -1/2) (exp (* -1/2 (/ (log n) k)))) into (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ 1 k))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (pow (/ 1 k) 1/4)) into (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log n))) into (* -1/2 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/2 (log n))) into (pow n -1/2) * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (/ (/ 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 k) 2) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 k) 2) into (/ 1/2 k) * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log n))) into (* -1/2 (/ (log n) k)) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log n) k))) into (exp (* -1/2 (/ (log n) k))) * [misc]backup-simplify: Simplify (/ (pow n -1/2) (exp (* -1/2 (/ (log n) k)))) into (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ 1 k))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (pow (/ 1 k) 1/4)) into (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in k * [misc]taylor: Taking taylor expansion of (/ 1 n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (sqrt (/ 1 n)) into (sqrt (/ 1 n)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 n)))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4)) in k * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* -1/2 (/ (log n) k)))) in k * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log n) k))) in k * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log n) k)) in k * [misc]taylor: Taking taylor expansion of -1/2 in k * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ (log n) k) in k * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log n) 1) into (log n) * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log n) k))) into (exp (* -1/2 (/ (log n) k))) * [misc]backup-simplify: Simplify (/ 1 (exp (* -1/2 (/ (log n) k)))) into (/ 1 (exp (* -1/2 (/ (log n) k)))) * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k * [misc]taylor: Taking taylor expansion of 1/4 in k * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) * [misc]backup-simplify: Simplify (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4)) into (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4)) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) into (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) into (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log n) k))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (log n) k)))) (+ (* (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) (/ 0 (pow (/ 1 k) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* -1/2 (/ (log n) k)))) 0) (* 0 (pow k 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 n)) 0) (* 0 (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log n) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (log n) k)))) (+ (* (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (/ 1 k) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* -1/2 (/ (log n) k)))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 n)) 0) (+ (* 0 0) (* 0 (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log n) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (log n) k)))) (+ (* (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (/ 1 k) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (/ 1 n))) (* (/ 1 (exp (* -1/2 (/ (log (/ 1 n)) (/ 1 k))))) (pow (/ 1 k) 1/4))) into (* (sqrt n) (* (/ 1 (exp (* -1/2 (* (log (/ 1 n)) k)))) (pow (/ 1 k) 1/4))) * [misc]approximate: Taking taylor expansion of (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) in k * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- n)) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 (- n))))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (/ 1 (- n)))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in k * [misc]taylor: Taking taylor expansion of (- n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (/ -1 n)))) into (pow (/ -1 n) 1/2) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n)))) in k * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- k)) 2) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in k * [misc]taylor: Taking taylor expansion of (- n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) * [misc]backup-simplify: Simplify (* -1/2 (log (/ -1 n))) into (* -1/2 (log (/ -1 n))) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) into (exp (* -1/2 (/ (log (/ -1 n)) k))) * [misc]backup-simplify: Simplify (/ (pow (/ -1 n) 1/2) (exp (* -1/2 (/ (log (/ -1 n)) k)))) into (* (sqrt (/ -1 n)) (/ 1 (exp (* -1/2 (/ (log (/ -1 n)) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (* (sqrt (/ -1 n)) (/ 1 (exp (* -1/2 (/ (log (/ -1 n)) k))))) (sqrt +nan.0)) into (/ (sqrt (/ -1 n)) (* (sqrt +nan.0) (exp (* -1/2 (/ (log (/ -1 n)) k))))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- n)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log -1) (log n)))) into (exp (* 1/2 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- k)) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 k) 2) into (/ -1/2 k) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log -1) (log n))) into (* -1/2 (/ (- (log -1) (log n)) k)) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log -1) (log n)) k))) into (exp (* -1/2 (/ (- (log -1) (log n)) k))) * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) into (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ -1 k))) into (sqrt (sqrt (/ -1 k))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ -1 k))))) into 0 * [misc]backup-simplify: Simplify (/ (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (sqrt (/ -1 k)))) into (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (/ 1 (sqrt (/ -1 k))))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- n)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log -1) (log n)))) into (exp (* 1/2 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- k)) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 k) 2) into (/ -1/2 k) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log -1) (log n))) into (* -1/2 (/ (- (log -1) (log n)) k)) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log -1) (log n)) k))) into (exp (* -1/2 (/ (- (log -1) (log n)) k))) * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) into (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ -1 k))) into (sqrt (sqrt (/ -1 k))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ -1 k))))) into 0 * [misc]backup-simplify: Simplify (/ (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (sqrt (/ -1 k)))) into (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (/ 1 (sqrt (/ -1 k))))) * [misc]taylor: Taking taylor expansion of (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (/ 1 (sqrt (/ -1 k))))) in k * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) in k * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (- (log -1) (log n)))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (- (log -1) (log n))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k * [misc]taylor: Taking taylor expansion of (log -1) in k * [misc]taylor: Taking taylor expansion of -1 in k * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log -1) (log n)))) into (exp (* 1/2 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log -1) (log n)) k))) in k * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log -1) (log n)) k)) in k * [misc]taylor: Taking taylor expansion of -1/2 in k * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ (- (log -1) (log n)) k) in k * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k * [misc]taylor: Taking taylor expansion of (log -1) in k * [misc]taylor: Taking taylor expansion of -1 in k * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log n)) 1) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* -1/2 (- (log -1) (log n))) into (* -1/2 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log -1) (log n)) k))) into (exp (* -1/2 (/ (- (log -1) (log n)) k))) * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) into (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k * [misc]taylor: Taking taylor expansion of (/ -1 k) in k * [misc]taylor: Taking taylor expansion of -1 in k * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt +nan.0)) into (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt +nan.0)) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) * [misc]backup-simplify: Simplify (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt +nan.0)) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) into (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt +nan.0)) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt (/ -1 k)))) (+ (* (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (/ 1 (sqrt (/ -1 k))))) (/ 0 (sqrt (sqrt (/ -1 k))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log n)))) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (sqrt +nan.0))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log n)))) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (sqrt +nan.0))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log n)))) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (sqrt +nan.0))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt (/ -1 k))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt (/ -1 k)))) (+ (* (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (/ 1 (sqrt (/ -1 k))))) (/ 0 (sqrt (sqrt (/ -1 k))))) (* 0 (/ 0 (sqrt (sqrt (/ -1 k))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log n)))) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (sqrt +nan.0)))) (- (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log n)))) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (pow (sqrt +nan.0) 3))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log n)))) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (sqrt +nan.0)))) (- (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log n)))) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (pow (sqrt +nan.0) 3))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log n)))) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (sqrt +nan.0)))) (- (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log n)))) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (pow (sqrt +nan.0) 3))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log (/ 1 (- n)))))) (* (exp (* -1/2 (/ (- (log -1) (log (/ 1 (- n)))) (/ 1 (- k))))) (sqrt +nan.0)))) (- (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log (/ 1 (- n)))))) (* (exp (* -1/2 (/ (- (log -1) (log (/ 1 (- n)))) (/ 1 (- k))))) (pow (sqrt +nan.0) 3))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log (/ 1 (- n)))))) (* (exp (* -1/2 (/ (- (log -1) (log (/ 1 (- n)))) (/ 1 (- k))))) (sqrt +nan.0))))) (* (/ 1 (- k)) 1)) (/ (* (exp (* 1/2 (- (log -1) (log (/ 1 (- n)))))) (sqrt +nan.0)) (exp (* -1/2 (/ (- (log -1) (log (/ 1 (- n)))) (/ 1 (- k)))))))) into (- (/ (* (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (sqrt +nan.0)) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))) (+ (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (* (pow (sqrt +nan.0) 3) (* (pow k 2) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k))))))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (* (sqrt +nan.0) (* k (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k))))))) (- (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (* (sqrt +nan.0) (* (pow k 2) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))))))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) in k * [misc]taylor: Taking taylor expansion of (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) in k * [misc]taylor: Taking taylor expansion of (/ (pow n (/ 1 2)) (pow n (/ k 2))) in k * [misc]taylor: Taking taylor expansion of (pow n (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log n))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log n)) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) * [misc]taylor: Taking taylor expansion of (pow n (/ k 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ k 2) (log n))) in k * [misc]taylor: Taking taylor expansion of (* (/ k 2) (log n)) in k * [misc]taylor: Taking taylor expansion of (/ k 2) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ (pow n 1/2) 1) into (sqrt n) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt k)) in k * [misc]taylor: Taking taylor expansion of (sqrt k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (sqrt n) +nan.0) into (* +nan.0 (sqrt n)) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) in k * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ k 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ k 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ k 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ k 2) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) 1) into (sqrt (* 2 PI)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt k)) in k * [misc]taylor: Taking taylor expansion of (sqrt k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (sqrt (* 2 PI)) +nan.0) into (* +nan.0 (* (sqrt PI) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) in n * [misc]taylor: Taking taylor expansion of (/ (pow n (/ 1 2)) (pow n (/ k 2))) in n * [misc]taylor: Taking taylor expansion of (pow n (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log n))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) * [misc]taylor: Taking taylor expansion of (pow n (/ k 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ k 2) (log n))) in n * [misc]taylor: Taking taylor expansion of (* (/ k 2) (log n)) in n * [misc]taylor: Taking taylor expansion of (/ k 2) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ k 2) into (* 1/2 k) * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* (* 1/2 k) (log n)) into (* 1/2 (* k (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* k (log n)))) into (exp (* 1/2 (* k (log n)))) * [misc]backup-simplify: Simplify (/ (pow n 1/2) (exp (* 1/2 (* k (log n))))) into (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt k)) in n * [misc]taylor: Taking taylor expansion of (sqrt k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt k)) into (pow k 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt k)))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (pow k 1/4)) into (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) in n * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ k 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ k 2) (log (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (* (/ k 2) (log (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (/ k 2) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ k 2) into (* 1/2 k) * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* (* 1/2 k) (log (* 2 PI))) into (* 1/2 (* (log (* 2 PI)) k)) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (log (* 2 PI)) k))) into (exp (* 1/2 (* (log (* 2 PI)) k))) * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) (exp (* 1/2 (* (log (* 2 PI)) k)))) into (* (/ 1 (exp (* 1/2 (* (log (* 2 PI)) k)))) (sqrt (* 2 PI))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt k)) in n * [misc]taylor: Taking taylor expansion of (sqrt k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt k)) into (pow k 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt k)))) into 0 * [misc]backup-simplify: Simplify (/ (* (/ 1 (exp (* 1/2 (* (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (pow k 1/4)) into (* (/ (sqrt 2) (exp (* 1/2 (* (log (* 2 PI)) k)))) (* (sqrt PI) (pow (/ 1 k) 1/4))) * [misc]taylor: Taking taylor expansion of (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) in n * [misc]taylor: Taking taylor expansion of (/ (pow n (/ 1 2)) (pow n (/ k 2))) in n * [misc]taylor: Taking taylor expansion of (pow n (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log n))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) * [misc]taylor: Taking taylor expansion of (pow n (/ k 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ k 2) (log n))) in n * [misc]taylor: Taking taylor expansion of (* (/ k 2) (log n)) in n * [misc]taylor: Taking taylor expansion of (/ k 2) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ k 2) into (* 1/2 k) * [misc]taylor: Taking taylor expansion of (log n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (* (* 1/2 k) (log n)) into (* 1/2 (* k (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (* k (log n)))) into (exp (* 1/2 (* k (log n)))) * [misc]backup-simplify: Simplify (/ (pow n 1/2) (exp (* 1/2 (* k (log n))))) into (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt k)) in n * [misc]taylor: Taking taylor expansion of (sqrt k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt k)) into (pow k 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt k)))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (pow k 1/4)) into (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) in n * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ k 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ k 2) (log (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (* (/ k 2) (log (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (/ k 2) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ k 2) into (* 1/2 k) * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* (* 1/2 k) (log (* 2 PI))) into (* 1/2 (* (log (* 2 PI)) k)) * [misc]backup-simplify: Simplify (exp (* 1/2 (* (log (* 2 PI)) k))) into (exp (* 1/2 (* (log (* 2 PI)) k))) * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) (exp (* 1/2 (* (log (* 2 PI)) k)))) into (* (/ 1 (exp (* 1/2 (* (log (* 2 PI)) k)))) (sqrt (* 2 PI))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt k)) in n * [misc]taylor: Taking taylor expansion of (sqrt k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt k)) into (pow k 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt k)))) into 0 * [misc]backup-simplify: Simplify (/ (* (/ 1 (exp (* 1/2 (* (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (pow k 1/4)) into (* (/ (sqrt 2) (exp (* 1/2 (* (log (* 2 PI)) k)))) (* (sqrt PI) (pow (/ 1 k) 1/4))) * [misc]backup-simplify: Simplify (* (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) (* (/ (sqrt 2) (exp (* 1/2 (* (log (* 2 PI)) k)))) (* (sqrt PI) (pow (/ 1 k) 1/4)))) into (* (sqrt (/ (* n PI) k)) (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (exp (* 1/2 (* k (log n))))))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (exp (* 1/2 (* k (log n))))))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k * [misc]taylor: Taking taylor expansion of (* n PI) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (exp (* 1/2 (* k (log n)))))) in k * [misc]taylor: Taking taylor expansion of (sqrt 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (* (log (* 2 PI)) k))) (exp (* 1/2 (* k (log n))))) in k * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* 2 PI)) k))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* 2 PI)) k)) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (log (* 2 PI)) k) in k * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k * [misc]taylor: Taking taylor expansion of (* 2 PI) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (log (* 2 PI)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log (* 2 PI)) 1) (* 0 0)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 (log (* 2 PI))) (* 0 0)) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* k (log n)))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (* k (log n))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* k (log n)) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 0 (log n)) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log n))) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/2 (log n)) (* 0 0)) into (* 1/2 (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (log (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (* 0 (log (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (log (* 2 PI)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (log (* 2 PI)) k)))) (+ (* (* (/ 1 (exp (* 1/2 (* (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (/ 0 (exp (* 1/2 (* (log (* 2 PI)) k))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (/ (sqrt 2) (exp (* 1/2 (* (log (* 2 PI)) k)))) (* (sqrt PI) (pow (/ 1 k) 1/4))) (/ 0 (pow k 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* k (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* k (log n))))) (+ (* (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (/ 0 (exp (* 1/2 (* k (log n)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) (/ 0 (pow k 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) 0) (* 0 (* (/ (sqrt 2) (exp (* 1/2 (* (log (* 2 PI)) k)))) (* (sqrt PI) (pow (/ 1 k) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [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 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (log (* 2 PI)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (log (* 2 PI)) k)))) (+ (* (* (/ 1 (exp (* 1/2 (* (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (/ 0 (exp (* 1/2 (* (log (* 2 PI)) k))))) (* 0 (/ 0 (exp (* 1/2 (* (log (* 2 PI)) k))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow k 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (/ (sqrt 2) (exp (* 1/2 (* (log (* 2 PI)) k)))) (* (sqrt PI) (pow (/ 1 k) 1/4))) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* k (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* k (log n))))) (+ (* (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (/ 0 (exp (* 1/2 (* k (log n)))))) (* 0 (/ 0 (exp (* 1/2 (* k (log n)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow k 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) 0) (+ (* 0 0) (* 0 (* (/ (sqrt 2) (exp (* 1/2 (* (log (* 2 PI)) k)))) (* (sqrt PI) (pow (/ 1 k) 1/4)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log n)) 1) 1)))) into (* 1/2 (log n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 PI))) 1) 1)))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (log n))) (* (* 1/2 (log (* 2 PI))) 1)) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (log n) (sqrt 2))) (* 1/2 (* (log (* 2 PI)) (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (* (log n) (sqrt 2))) (* 1/2 (* (log (* 2 PI)) (sqrt 2)))))) (* (* +nan.0 (* n PI)) (sqrt 2))) into (- (* +nan.0 (* n (* PI (sqrt 2))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* n (* PI (sqrt 2))))) into (- (* +nan.0 (* n (* PI (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [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 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (log (* 2 PI)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (log (* 2 PI)) k)))) (+ (* (* (/ 1 (exp (* 1/2 (* (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (/ 0 (exp (* 1/2 (* (log (* 2 PI)) k))))) (* 0 (/ 0 (exp (* 1/2 (* (log (* 2 PI)) k))))) (* 0 (/ 0 (exp (* 1/2 (* (log (* 2 PI)) k))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow k 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (/ (sqrt 2) (exp (* 1/2 (* (log (* 2 PI)) k)))) (* (sqrt PI) (pow (/ 1 k) 1/4))) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* k (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* k (log n))))) (+ (* (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (/ 0 (exp (* 1/2 (* k (log n)))))) (* 0 (/ 0 (exp (* 1/2 (* k (log n)))))) (* 0 (/ 0 (exp (* 1/2 (* k (log n)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow k 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ (sqrt 2) (exp (* 1/2 (* (log (* 2 PI)) k)))) (* (sqrt PI) (pow (/ 1 k) 1/4))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (log n)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log n) 2)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [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 * [misc]backup-simplify: Simplify (+ (* (log (* 2 PI)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (log (* 2 PI))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (* 2 PI)) 2)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/8 (pow (log n) 2))) (+ (* (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) (* (* 1/8 (pow (log (* 2 PI)) 2)) 1))) into (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))) 1)) (* (- (+ (* 1/2 (* (log n) (sqrt 2))) (* 1/2 (* (log (* 2 PI)) (sqrt 2))))) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (+ (* 1/4 (* (log (* 2 PI)) (* (log n) (sqrt 2)))) (+ (* 1/8 (* (pow (log n) 2) (sqrt 2))) (* 1/8 (* (pow (log (* 2 PI)) 2) (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* n PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* n PI)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow n 2) (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/4 (* (log (* 2 PI)) (* (log n) (sqrt 2)))) (+ (* 1/8 (* (pow (log n) 2) (sqrt 2))) (* 1/8 (* (pow (log (* 2 PI)) 2) (sqrt 2)))))) (+ (* (* +nan.0 (* n PI)) (- (+ (* 1/2 (* (log n) (sqrt 2))) (* 1/2 (* (log (* 2 PI)) (sqrt 2)))))) (* (* +nan.0 (* (pow n 2) (pow PI 2))) (sqrt 2)))) into (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (sqrt 2)))) (- (+ (* +nan.0 (* n (* PI (* (log n) (sqrt 2))))) (- (* +nan.0 (* n (* PI (* (log (* 2 PI)) (sqrt 2)))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (sqrt 2)))) (- (+ (* +nan.0 (* n (* PI (* (log n) (sqrt 2))))) (- (* +nan.0 (* n (* PI (* (log (* 2 PI)) (sqrt 2)))))))))) into (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (sqrt 2)))) (- (+ (* +nan.0 (* n (* PI (* (log n) (sqrt 2))))) (- (* +nan.0 (* n (* PI (* (log (* 2 PI)) (sqrt 2)))))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (log (* 2 PI)) k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (log (* 2 PI)) k)))) (+ (* (* (/ 1 (exp (* 1/2 (* (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (/ 0 (exp (* 1/2 (* (log (* 2 PI)) k))))) (* 0 (/ 0 (exp (* 1/2 (* (log (* 2 PI)) k))))) (* 0 (/ 0 (exp (* 1/2 (* (log (* 2 PI)) k))))) (* 0 (/ 0 (exp (* 1/2 (* (log (* 2 PI)) k))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow k 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (/ (sqrt 2) (exp (* 1/2 (* (log (* 2 PI)) k)))) (* (sqrt PI) (pow (/ 1 k) 1/4))) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* k (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* k (log n))))) (+ (* (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (/ 0 (exp (* 1/2 (* k (log n)))))) (* 0 (/ 0 (exp (* 1/2 (* k (log n)))))) (* 0 (/ 0 (exp (* 1/2 (* k (log n)))))) (* 0 (/ 0 (exp (* 1/2 (* k (log n)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow k 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt n) (* (pow (/ 1 k) 1/4) (/ 1 (exp (* 1/2 (* k (log n))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ (sqrt 2) (exp (* 1/2 (* (log (* 2 PI)) k)))) (* (sqrt PI) (pow (/ 1 k) 1/4)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [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 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log n))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (log n)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log n)) 3) 6)) (* (/ (pow (* 1/2 (log n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/48 (pow (log n) 3)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [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 * [misc]backup-simplify: Simplify (+ (* (log (* 2 PI)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (log (* 2 PI))) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 PI))) 3) 6)) (* (/ (pow (* 1/2 (log (* 2 PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/48 (pow (log (* 2 PI)) 3)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/48 (pow (log n) 3))) (+ (* (* 1/2 (log (* 2 PI))) (* 1/8 (pow (log n) 2))) (+ (* (* 1/8 (pow (log (* 2 PI)) 2)) (* 1/2 (log n))) (* (* 1/48 (pow (log (* 2 PI)) 3)) 1)))) into (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log (* 2 PI)) (pow (log n) 2))) (+ (* 1/48 (pow (log (* 2 PI)) 3)) (* 1/16 (* (pow (log (* 2 PI)) 2) (log n)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log (* 2 PI)) (pow (log n) 2))) (+ (* 1/48 (pow (log (* 2 PI)) 3)) (* 1/16 (* (pow (log (* 2 PI)) 2) (log n)))))) 1)) (* (- (+ (* 1/2 (* (log n) (sqrt 2))) (* 1/2 (* (log (* 2 PI)) (sqrt 2))))) (/ (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))) 1)) (* (+ (* 1/4 (* (log (* 2 PI)) (* (log n) (sqrt 2)))) (+ (* 1/8 (* (pow (log n) 2) (sqrt 2))) (* 1/8 (* (pow (log (* 2 PI)) 2) (sqrt 2))))) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (pow (log n) 2) (sqrt 2)))) (+ (* 1/48 (* (pow (log n) 3) (sqrt 2))) (+ (* 1/16 (* (pow (log (* 2 PI)) 2) (* (log n) (sqrt 2)))) (* 1/48 (* (pow (log (* 2 PI)) 3) (sqrt 2))))))) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* n PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* n PI)) (* +nan.0 (* (pow n 2) (pow PI 2))))))) (* 2 0)) into (* +nan.0 (* (pow n 3) (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/16 (* (log (* 2 PI)) (* (pow (log n) 2) (sqrt 2)))) (+ (* 1/48 (* (pow (log n) 3) (sqrt 2))) (+ (* 1/16 (* (pow (log (* 2 PI)) 2) (* (log n) (sqrt 2)))) (* 1/48 (* (pow (log (* 2 PI)) 3) (sqrt 2)))))))) (+ (* (* +nan.0 (* n PI)) (+ (* 1/4 (* (log (* 2 PI)) (* (log n) (sqrt 2)))) (+ (* 1/8 (* (pow (log n) 2) (sqrt 2))) (* 1/8 (* (pow (log (* 2 PI)) 2) (sqrt 2)))))) (+ (* (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* 1/2 (* (log n) (sqrt 2))) (* 1/2 (* (log (* 2 PI)) (sqrt 2)))))) (* (* +nan.0 (* (pow n 3) (pow PI 3))) (sqrt 2))))) into (- (+ (* +nan.0 (* n (* PI (* (pow (log (* 2 PI)) 2) (sqrt 2))))) (- (+ (* +nan.0 (* n (* PI (* (log (* 2 PI)) (* (log n) (sqrt 2)))))) (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (* (log (* 2 PI)) (sqrt 2))))) (- (+ (* +nan.0 (* n (* PI (* (pow (log n) 2) (sqrt 2))))) (- (+ (* +nan.0 (* (pow n 3) (* (pow PI 3) (sqrt 2)))) (- (* +nan.0 (* (pow n 2) (* (pow PI 2) (* (log n) (sqrt 2)))))))))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* n (* PI (* (pow (log (* 2 PI)) 2) (sqrt 2))))) (- (+ (* +nan.0 (* n (* PI (* (log (* 2 PI)) (* (log n) (sqrt 2)))))) (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (* (log (* 2 PI)) (sqrt 2))))) (- (+ (* +nan.0 (* n (* PI (* (pow (log n) 2) (sqrt 2))))) (- (+ (* +nan.0 (* (pow n 3) (* (pow PI 3) (sqrt 2)))) (- (* +nan.0 (* (pow n 2) (* (pow PI 2) (* (log n) (sqrt 2)))))))))))))))) into (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (* (log n) (sqrt 2))))) (- (+ (* +nan.0 (* n (* PI (* (pow (log (* 2 PI)) 2) (sqrt 2))))) (- (+ (* +nan.0 (* n (* PI (* (log (* 2 PI)) (* (log n) (sqrt 2)))))) (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (* (log (* 2 PI)) (sqrt 2))))) (- (+ (* +nan.0 (* (pow n 3) (* (pow PI 3) (sqrt 2)))) (- (* +nan.0 (* n (* PI (* (pow (log n) 2) (sqrt 2)))))))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (* (log n) (sqrt 2))))) (- (+ (* +nan.0 (* n (* PI (* (pow (log (* 2 PI)) 2) (sqrt 2))))) (- (+ (* +nan.0 (* n (* PI (* (log (* 2 PI)) (* (log n) (sqrt 2)))))) (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (* (log (* 2 PI)) (sqrt 2))))) (- (+ (* +nan.0 (* (pow n 3) (* (pow PI 3) (sqrt 2)))) (- (* +nan.0 (* n (* PI (* (pow (log n) 2) (sqrt 2)))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (sqrt 2)))) (- (+ (* +nan.0 (* n (* PI (* (log n) (sqrt 2))))) (- (* +nan.0 (* n (* PI (* (log (* 2 PI)) (sqrt 2)))))))))) (* k 1)) (- (* +nan.0 (* n (* PI (sqrt 2))))))) into (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (* k (sqrt 2))))) (- (+ (* +nan.0 (* n (* PI (* (log (* 2 PI)) (* (log n) (* (sqrt 2) (pow k 2))))))) (- (+ (* +nan.0 (* n (* PI (* (pow (log n) 2) (* (pow k 2) (sqrt 2)))))) (- (+ (* +nan.0 (* n (* PI (* (log (* 2 PI)) (* k (sqrt 2)))))) (- (+ (* +nan.0 (* n (* PI (* (pow (log (* 2 PI)) 2) (* (pow k 2) (sqrt 2)))))) (- (+ (* +nan.0 (* (pow n 3) (* (pow PI 3) (* (pow k 2) (sqrt 2))))) (- (+ (* +nan.0 (* n (* PI (* k (* (log n) (sqrt 2)))))) (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2)))))) (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (* (log n) (* (pow k 2) (sqrt 2)))))) (- (* +nan.0 (* n (* PI (sqrt 2))))))))))))))))))))))) * [misc]approximate: Taking taylor expansion of (* (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k))))) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k))))) in k * [misc]taylor: Taking taylor expansion of (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) in k * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 n)))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (/ 1 n))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k * [misc]taylor: Taking taylor expansion of (/ 1 n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (log (/ 1 n))) into (* 1/2 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (/ 1 n)))) into (pow (/ 1 n) 1/2) * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (/ (/ 1 k) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) in k * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 k) 2) (log (/ 1 n))) in k * [misc]taylor: Taking taylor expansion of (/ (/ 1 k) 2) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k * [misc]taylor: Taking taylor expansion of (/ 1 n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (log (/ 1 n))) into (* 1/2 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) into (exp (* 1/2 (/ (log (/ 1 n)) k))) * [misc]backup-simplify: Simplify (/ (pow (/ 1 n) 1/2) (exp (* 1/2 (/ (log (/ 1 n)) k)))) into (* (sqrt (/ 1 n)) (/ 1 (exp (* 1/2 (/ (log (/ 1 n)) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 n)) (/ 1 (exp (* 1/2 (/ (log (/ 1 n)) k))))) (sqrt +nan.0)) into (* (sqrt (/ 1 n)) (/ 1 (* (sqrt +nan.0) (exp (* 1/2 (/ (log (/ 1 n)) k)))))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) in k * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ (/ 1 k) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 k) 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ (/ 1 k) 2) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 k) 2) (log (* PI 2)))) into (exp (* 1/2 (/ (log (* 2 PI)) k))) * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) (exp (* 1/2 (/ (log (* 2 PI)) k)))) into (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k * [misc]taylor: Taking taylor expansion of (/ 1 k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (sqrt +nan.0)) into (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (sqrt +nan.0))) (sqrt PI)) * [misc]taylor: Taking taylor expansion of (* (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log n))) into (* -1/2 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/2 (log n))) into (pow n -1/2) * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (/ (/ 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 k) 2) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 k) 2) into (/ 1/2 k) * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log n))) into (* -1/2 (/ (log n) k)) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log n) k))) into (exp (* -1/2 (/ (log n) k))) * [misc]backup-simplify: Simplify (/ (pow n -1/2) (exp (* -1/2 (/ (log n) k)))) into (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ 1 k))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (pow (/ 1 k) 1/4)) into (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ (/ 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 k) 2) (log (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 k) 2) into (/ 1/2 k) * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* (/ 1/2 k) (log (* 2 PI))) into (* 1/2 (/ (log (* 2 PI)) k)) * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (log (* 2 PI)) k))) into (exp (* 1/2 (/ (log (* 2 PI)) k))) * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) (exp (* 1/2 (/ (log (* 2 PI)) k)))) into (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ 1 k))))) into 0 * [misc]backup-simplify: Simplify (/ (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (pow (/ 1 k) 1/4)) into (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 PI)) k)))) (* (sqrt PI) (pow k 1/4))) * [misc]taylor: Taking taylor expansion of (* (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log n))) into (* -1/2 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/2 (log n))) into (pow n -1/2) * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (/ (/ 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 k) 2) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 k) 2) into (/ 1/2 k) * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log n))) into (* -1/2 (/ (log n) k)) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log n) k))) into (exp (* -1/2 (/ (log n) k))) * [misc]backup-simplify: Simplify (/ (pow n -1/2) (exp (* -1/2 (/ (log n) k)))) into (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ 1 k))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (pow (/ 1 k) 1/4)) into (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 k) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ (/ 1 k) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 k) 2) (log (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 k) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 k) 2) into (/ 1/2 k) * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* (/ 1/2 k) (log (* 2 PI))) into (* 1/2 (/ (log (* 2 PI)) k)) * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (log (* 2 PI)) k))) into (exp (* 1/2 (/ (log (* 2 PI)) k))) * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) (exp (* 1/2 (/ (log (* 2 PI)) k)))) into (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n * [misc]taylor: Taking taylor expansion of (/ 1 k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ 1 k))))) into 0 * [misc]backup-simplify: Simplify (/ (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (pow (/ 1 k) 1/4)) into (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 PI)) k)))) (* (sqrt PI) (pow k 1/4))) * [misc]backup-simplify: Simplify (* (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 PI)) k)))) (* (sqrt PI) (pow k 1/4)))) into (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) (sqrt (/ (* PI k) n))) * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) (sqrt (/ (* PI k) n))) in k * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) in k * [misc]taylor: Taking taylor expansion of (sqrt 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k)))) in k * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 PI)) k))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 PI)) k)) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 PI)) k) in k * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k * [misc]taylor: Taking taylor expansion of (* 2 PI) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log (* 2 PI)) 1) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (log (* 2 PI)) k))) into (exp (* 1/2 (/ (log (* 2 PI)) k))) * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log n) k))) in k * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log n) k)) in k * [misc]taylor: Taking taylor expansion of -1/2 in k * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ (log n) k) in k * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log n) 1) into (log n) * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log n) k))) into (exp (* -1/2 (/ (log n) k))) * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k)))) into (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k)))) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) into (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k * [misc]taylor: Taking taylor expansion of (* PI k) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) * [misc]backup-simplify: Simplify (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (log (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (log (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (+ (* (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (/ 0 (exp (* 1/2 (/ (log (* 2 PI)) k))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 PI)) k)))) (* (sqrt PI) (pow k 1/4))) (/ 0 (pow (/ 1 k) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log n) k))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (log n) k)))) (+ (* (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) (/ 0 (pow (/ 1 k) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) 0) (* 0 (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 PI)) k)))) (* (sqrt PI) (pow k 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (* 2 PI)) k))) 0) (* 0 (exp (* -1/2 (/ (log n) k))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) (+ (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) (/ 0 (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) (* +nan.0 (/ PI n))) (* 0 0)) into (- (* +nan.0 (/ (* PI (sqrt 2)) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (* n (exp (* -1/2 (/ (log n) k)))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* PI (sqrt 2)) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (* n (exp (* -1/2 (/ (log n) k)))))))) into (- (* +nan.0 (/ (* PI (sqrt 2)) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (* n (exp (* -1/2 (/ (log n) k)))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (+ (* (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (/ 0 (exp (* 1/2 (/ (log (* 2 PI)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (log (* 2 PI)) k))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (/ 1 k) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 PI)) k)))) (* (sqrt PI) (pow k 1/4))) (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log n) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (log n) k)))) (+ (* (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (/ 1 k) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) 0) (+ (* 0 0) (* 0 (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 PI)) k)))) (* (sqrt PI) (pow k 1/4)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI n)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow n 2))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (* 2 PI)) k))) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log n) k)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) (+ (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) (/ 0 (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k)))))) (* 0 (/ 0 (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) (* +nan.0 (/ (pow PI 2) (pow n 2)))) (+ (* 0 (* +nan.0 (/ PI n))) (* 0 0))) into (- (* +nan.0 (/ (* (pow PI 2) (sqrt 2)) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (* (pow n 2) (exp (* -1/2 (/ (log n) k)))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (pow PI 2) (sqrt 2)) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (* (pow n 2) (exp (* -1/2 (/ (log n) k)))))))) into (- (* +nan.0 (/ (* (pow PI 2) (sqrt 2)) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (* (pow n 2) (exp (* -1/2 (/ (log n) k)))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (+ (* (* (/ 1 (exp (* 1/2 (/ (log (* 2 PI)) k)))) (sqrt (* 2 PI))) (/ 0 (exp (* 1/2 (/ (log (* 2 PI)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (log (* 2 PI)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (log (* 2 PI)) k))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (/ 1 k) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 PI)) k)))) (* (sqrt PI) (pow k 1/4))) (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log n) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (log n) k)))) (+ (* (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (/ 1 k) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 n)) (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (pow k 1/4))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 PI)) k)))) (* (sqrt PI) (pow k 1/4))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ PI n)) (* +nan.0 (/ (pow PI 2) (pow n 2))))))) (* 2 0)) into (* +nan.0 (/ (pow PI 3) (pow n 3))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (* 2 PI)) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log n) k))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) (+ (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) (/ 0 (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k)))))) (* 0 (/ 0 (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k)))))) (* 0 (/ 0 (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (exp (* -1/2 (/ (log n) k))))) (* +nan.0 (/ (pow PI 3) (pow n 3)))) (+ (* 0 (* +nan.0 (/ (pow PI 2) (pow n 2)))) (+ (* 0 (* +nan.0 (/ PI n))) (* 0 0)))) into (- (* +nan.0 (/ (* (pow PI 3) (sqrt 2)) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (* (pow n 3) (exp (* -1/2 (/ (log n) k)))))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (pow PI 3) (sqrt 2)) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (* (pow n 3) (exp (* -1/2 (/ (log n) k)))))))) into (- (* +nan.0 (/ (* (pow PI 3) (sqrt 2)) (* (exp (* 1/2 (/ (log (* 2 PI)) k))) (* (pow n 3) (exp (* -1/2 (/ (log n) k)))))))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (* (pow PI 3) (sqrt 2)) (* (exp (* 1/2 (/ (log (* 2 PI)) (/ 1 k)))) (* (pow (/ 1 n) 3) (exp (* -1/2 (/ (log (/ 1 n)) (/ 1 k))))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (/ (* (pow PI 2) (sqrt 2)) (* (exp (* 1/2 (/ (log (* 2 PI)) (/ 1 k)))) (* (pow (/ 1 n) 2) (exp (* -1/2 (/ (log (/ 1 n)) (/ 1 k))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (/ (* PI (sqrt 2)) (* (exp (* 1/2 (/ (log (* 2 PI)) (/ 1 k)))) (* (/ 1 n) (exp (* -1/2 (/ (log (/ 1 n)) (/ 1 k))))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (pow n 3) (* (pow PI 3) (sqrt 2))) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow k 3) (exp (* -1/2 (* (log (/ 1 n)) k))))))) (- (+ (* +nan.0 (/ (* (pow n 2) (* (pow PI 2) (sqrt 2))) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow k 2) (exp (* -1/2 (* (log (/ 1 n)) k))))))) (- (* +nan.0 (/ (* n (* PI (sqrt 2))) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* k (exp (* -1/2 (* (log (/ 1 n)) k)))))))))))) * [misc]approximate: Taking taylor expansion of (* (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k)))))) in (n k) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k)))))) in k * [misc]taylor: Taking taylor expansion of (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) in k * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- n)) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 (- n))))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (/ 1 (- n)))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in k * [misc]taylor: Taking taylor expansion of (- n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (/ -1 n)))) into (pow (/ -1 n) 1/2) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) in k * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n)))) in k * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- k)) 2) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in k * [misc]taylor: Taking taylor expansion of (- n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) * [misc]backup-simplify: Simplify (* -1/2 (log (/ -1 n))) into (* -1/2 (log (/ -1 n))) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) into (exp (* -1/2 (/ (log (/ -1 n)) k))) * [misc]backup-simplify: Simplify (/ (pow (/ -1 n) 1/2) (exp (* -1/2 (/ (log (/ -1 n)) k)))) into (* (sqrt (/ -1 n)) (/ 1 (exp (* -1/2 (/ (log (/ -1 n)) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (* (sqrt (/ -1 n)) (/ 1 (exp (* -1/2 (/ (log (/ -1 n)) k))))) (sqrt +nan.0)) into (/ (sqrt (/ -1 n)) (* (sqrt +nan.0) (exp (* -1/2 (/ (log (/ -1 n)) k))))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in k * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) in k * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ 1 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ (/ 1 (- k)) 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (* PI 2)))) in k * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (* PI 2))) in k * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- k)) 2) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in k * [misc]taylor: Taking taylor expansion of (* PI 2) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* (/ (/ 1 (- k)) 2) (log (* PI 2)))) into (exp (* -1/2 (/ (log (* 2 PI)) k))) * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) (exp (* -1/2 (/ (log (* 2 PI)) k)))) into (* (sqrt (* 2 PI)) (/ 1 (exp (* -1/2 (/ (log (* 2 PI)) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in k * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in k * [misc]taylor: Taking taylor expansion of (- k) in k * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ (* (sqrt (* 2 PI)) (/ 1 (exp (* -1/2 (/ (log (* 2 PI)) k))))) (sqrt +nan.0)) into (* (sqrt PI) (/ (sqrt 2) (* (sqrt +nan.0) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) * [misc]taylor: Taking taylor expansion of (* (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k)))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- n)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log -1) (log n)))) into (exp (* 1/2 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- k)) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 k) 2) into (/ -1/2 k) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log -1) (log n))) into (* -1/2 (/ (- (log -1) (log n)) k)) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log -1) (log n)) k))) into (exp (* -1/2 (/ (- (log -1) (log n)) k))) * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) into (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ -1 k))) into (sqrt (sqrt (/ -1 k))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ -1 k))))) into 0 * [misc]backup-simplify: Simplify (/ (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (sqrt (/ -1 k)))) into (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (/ 1 (sqrt (/ -1 k))))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ (/ 1 (- k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- k)) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 k) 2) into (/ -1/2 k) * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* (/ -1/2 k) (log (* 2 PI))) into (* -1/2 (/ (log (* 2 PI)) k)) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log (* 2 PI)) k))) into (exp (* -1/2 (/ (log (* 2 PI)) k))) * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) (exp (* -1/2 (/ (log (* 2 PI)) k)))) into (* (sqrt (* 2 PI)) (/ 1 (exp (* -1/2 (/ (log (* 2 PI)) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ -1 k))) into (sqrt (sqrt (/ -1 k))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ -1 k))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (* 2 PI)) (/ 1 (exp (* -1/2 (/ (log (* 2 PI)) k))))) (sqrt (sqrt (/ -1 k)))) into (* (sqrt (/ PI (sqrt (/ -1 k)))) (/ (sqrt 2) (exp (* -1/2 (/ (log (* 2 PI)) k))))) * [misc]taylor: Taking taylor expansion of (* (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k)))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- n)) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log -1) (log n)))) into (exp (* 1/2 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- k)) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 k) 2) into (/ -1/2 k) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log -1) (log n))) into (* -1/2 (/ (- (log -1) (log n)) k)) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log -1) (log n)) k))) into (exp (* -1/2 (/ (- (log -1) (log n)) k))) * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) into (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ -1 k))) into (sqrt (sqrt (/ -1 k))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ -1 k))))) into 0 * [misc]backup-simplify: Simplify (/ (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (sqrt (/ -1 k)))) into (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (/ 1 (sqrt (/ -1 k))))) * [misc]taylor: Taking taylor expansion of (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in n * [misc]taylor: Taking taylor expansion of (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ (/ 1 (- k)) 2))) in n * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ 1 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 2) (log (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (log (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 2) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) * [misc]taylor: Taking taylor expansion of (pow (* PI 2) (/ (/ 1 (- k)) 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (* PI 2)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (* PI 2))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- k)) 2) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 k) 2) into (/ -1/2 k) * [misc]taylor: Taking taylor expansion of (log (* PI 2)) in n * [misc]taylor: Taking taylor expansion of (* PI 2) in n * [misc]taylor: Taking taylor expansion of PI in n * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* (/ -1/2 k) (log (* 2 PI))) into (* -1/2 (/ (log (* 2 PI)) k)) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log (* 2 PI)) k))) into (exp (* -1/2 (/ (log (* 2 PI)) k))) * [misc]backup-simplify: Simplify (/ (pow (* 2 PI) 1/2) (exp (* -1/2 (/ (log (* 2 PI)) k)))) into (* (sqrt (* 2 PI)) (/ 1 (exp (* -1/2 (/ (log (* 2 PI)) k))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in n * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- k))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- k)) in n * [misc]taylor: Taking taylor expansion of (- k) in n * [misc]taylor: Taking taylor expansion of k in n * [misc]backup-simplify: Simplify k into k * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (/ 1 (- k)) into (/ -1 k) * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ -1 k))) into (sqrt (sqrt (/ -1 k))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ -1 k))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (* 2 PI)) (/ 1 (exp (* -1/2 (/ (log (* 2 PI)) k))))) (sqrt (sqrt (/ -1 k)))) into (* (sqrt (/ PI (sqrt (/ -1 k)))) (/ (sqrt 2) (exp (* -1/2 (/ (log (* 2 PI)) k))))) * [misc]backup-simplify: Simplify (* (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (/ 1 (sqrt (/ -1 k))))) (* (sqrt (/ PI (sqrt (/ -1 k)))) (/ (sqrt 2) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) into (* (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (sqrt PI)) * [misc]taylor: Taking taylor expansion of (* (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (sqrt PI)) in k * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) in k * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) in k * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (- (log -1) (log n)))) in k * [misc]taylor: Taking taylor expansion of (* 1/2 (- (log -1) (log n))) in k * [misc]taylor: Taking taylor expansion of 1/2 in k * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k * [misc]taylor: Taking taylor expansion of (log -1) in k * [misc]taylor: Taking taylor expansion of -1 in k * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log -1) (log n)))) into (exp (* 1/2 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (sqrt 2) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (log (* 2 PI)) k))))) in k * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log -1) (log n)) k))) in k * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log -1) (log n)) k)) in k * [misc]taylor: Taking taylor expansion of -1/2 in k * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ (- (log -1) (log n)) k) in k * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k * [misc]taylor: Taking taylor expansion of (log -1) in k * [misc]taylor: Taking taylor expansion of -1 in k * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in k * [misc]taylor: Taking taylor expansion of n in k * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log n)) 1) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* -1/2 (- (log -1) (log n))) into (* -1/2 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log -1) (log n)) k))) into (exp (* -1/2 (/ (- (log -1) (log n)) k))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (log (* 2 PI)) k)))) in k * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k * [misc]taylor: Taking taylor expansion of (/ -1 k) in k * [misc]taylor: Taking taylor expansion of -1 in k * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 PI)) k))) in k * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 PI)) k)) in k * [misc]taylor: Taking taylor expansion of -1/2 in k * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 PI)) k) in k * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k * [misc]taylor: Taking taylor expansion of (* 2 PI) in k * [misc]taylor: Taking taylor expansion of 2 in k * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) * [misc]taylor: Taking taylor expansion of k in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log (* 2 PI)) 1) into (log (* 2 PI)) * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log (* 2 PI)) k))) into (exp (* -1/2 (/ (log (* 2 PI)) k))) * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) into (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) * [misc]backup-simplify: Simplify (* 0 (exp (* -1/2 (/ (log (* 2 PI)) k)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* -1/2 (/ (log (* 2 PI)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (log (* 2 PI)) k))))) * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (- (* +nan.0 (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) * [misc]backup-simplify: Simplify (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (- (* +nan.0 (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))))) into (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) * [misc]taylor: Taking taylor expansion of (sqrt PI) in k * [misc]taylor: Taking taylor expansion of PI in k * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 * [misc]backup-simplify: Simplify (* (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (sqrt PI)) into (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))) (sqrt PI))) * [misc]backup-simplify: Simplify (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))) (sqrt PI))) into (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))) (sqrt PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (log (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (* 0 (log (* 2 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* 2 PI)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (log (* 2 PI)) k)))) (+ (* (* (sqrt (* 2 PI)) (/ 1 (exp (* -1/2 (/ (log (* 2 PI)) k))))) (/ 0 (exp (* -1/2 (/ (log (* 2 PI)) k))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt (/ -1 k)))) (+ (* (* (sqrt (/ PI (sqrt (/ -1 k)))) (/ (sqrt 2) (exp (* -1/2 (/ (log (* 2 PI)) k))))) (/ 0 (sqrt (sqrt (/ -1 k))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt (/ -1 k)))) (+ (* (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (/ 1 (sqrt (/ -1 k))))) (/ 0 (sqrt (sqrt (/ -1 k))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (/ 1 (sqrt (/ -1 k))))) 0) (* 0 (* (sqrt (/ PI (sqrt (/ -1 k)))) (/ (sqrt 2) (exp (* -1/2 (/ (log (* 2 PI)) k))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (- (log -1) (log n)))) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -1/2 (/ (log (* 2 PI)) k)))))) into (- (* +nan.0 (exp (* -1/2 (/ (log (* 2 PI)) k))))) * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (- (* +nan.0 (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (+ (* 0 (- (* +nan.0 (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))))) (+ (* (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (/ (- (* +nan.0 (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (- (* +nan.0 (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))))) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) 0) (* (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))))) (sqrt PI))) into (- (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))) (sqrt PI)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))) (sqrt PI)))) into (- (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))) (sqrt PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [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 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* 2 PI)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (log (* 2 PI)) k)))) (+ (* (* (sqrt (* 2 PI)) (/ 1 (exp (* -1/2 (/ (log (* 2 PI)) k))))) (/ 0 (exp (* -1/2 (/ (log (* 2 PI)) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log (* 2 PI)) k))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt (/ -1 k))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt (/ -1 k)))) (+ (* (* (sqrt (/ PI (sqrt (/ -1 k)))) (/ (sqrt 2) (exp (* -1/2 (/ (log (* 2 PI)) k))))) (/ 0 (sqrt (sqrt (/ -1 k))))) (* 0 (/ 0 (sqrt (sqrt (/ -1 k))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- k) into (- k) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt (/ -1 k))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt (/ -1 k)))) (+ (* (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (/ 1 (sqrt (/ -1 k))))) (/ 0 (sqrt (sqrt (/ -1 k))))) (* 0 (/ 0 (sqrt (sqrt (/ -1 k))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (sqrt (/ 1 (sqrt (/ -1 k))))) 0) (+ (* 0 0) (* 0 (* (sqrt (/ PI (sqrt (/ -1 k)))) (/ (sqrt 2) (exp (* -1/2 (/ (log (* 2 PI)) k)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in k * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -1/2 (/ (log (* 2 PI)) k))))))) into (- (* +nan.0 (exp (* -1/2 (/ (log (* 2 PI)) k))))) * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (- (* +nan.0 (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (+ (* 0 (- (* +nan.0 (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (+ (* 0 (- (* +nan.0 (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))))) (+ (* (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (/ (- (* +nan.0 (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (- (* +nan.0 (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))))) (* (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))))) (/ (- (* +nan.0 (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) (- (* +nan.0 (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))))) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k)))))) 0) (+ (* (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))))) 0) (* (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))))) (sqrt PI)))) into (- (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))) (sqrt PI)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))) (sqrt PI)))) into (- (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log n)))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (exp (* -1/2 (/ (log (* 2 PI)) k))))) (sqrt PI)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log (/ 1 (- n)))))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log (/ 1 (- n)))) (/ 1 (- k))))) (exp (* -1/2 (/ (log (* 2 PI)) (/ 1 (- k))))))) (sqrt PI)))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log (/ 1 (- n)))))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log (/ 1 (- n)))) (/ 1 (- k))))) (exp (* -1/2 (/ (log (* 2 PI)) (/ 1 (- k))))))) (sqrt PI)))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log (/ 1 (- n)))))) (sqrt 2)) (* (exp (* -1/2 (/ (- (log -1) (log (/ 1 (- n)))) (/ 1 (- k))))) (exp (* -1/2 (/ (log (* 2 PI)) (/ 1 (- k))))))) (sqrt PI))))) into (- (+ (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (sqrt 2)) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow k 2) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))))) (sqrt PI))) (- (+ (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (sqrt 2)) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* k (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))))) (sqrt PI))) (- (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (sqrt 2)) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k))))) (sqrt PI)))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (* PI 2) (/ 1 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (expm1 (pow (* 2 PI) (/ 1 2))) * [exit]simplify: Simplified to (expm1 (pow (* 2 PI) (/ 1 2))) * * * * [misc]progress: [ 2 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (* PI 2) (/ 1 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (log1p (pow (* 2 PI) (/ 1 2))) * [exit]simplify: Simplified to (log1p (pow (* 2 PI) (/ 1 2))) * * * * [misc]progress: [ 3 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* PI 2)) (/ 1 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (log (* 2 PI)) 2) * [exit]simplify: Simplified to (/ (log (* 2 PI)) 2) * * * * [misc]progress: [ 4 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* PI 2)) (/ 1 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (log (* 2 PI)) 2) * [exit]simplify: Simplified to (/ (log (* 2 PI)) 2) * * * * [misc]progress: [ 5 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ 1 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * * * * [misc]progress: [ 6 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* PI 2) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (* 2 PI) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) * [exit]simplify: Simplified to (pow (* 2 PI) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) * * * * [misc]progress: [ 7 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* PI 2) (sqrt (/ 1 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (* 2 PI) (sqrt (/ 1 2))) * [exit]simplify: Simplified to (pow (* 2 PI) (sqrt (/ 1 2))) * * * * [misc]progress: [ 8 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* PI 2) 1) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* 2 PI) * [exit]simplify: Simplified to (* 2 PI) * * * * [misc]progress: [ 9 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* PI 2) 1) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* 2 PI) * [exit]simplify: Simplified to (* 2 PI) * * * * [misc]progress: [ 10 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (pow PI (/ 1 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow PI (/ 1 2)) * [exit]simplify: Simplified to (pow PI (/ 1 2)) * [enter]simplify: Simplifying (pow 2 (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (pow 2 (/ 1 2)) * [exit]simplify: Simplified to (pow 2 (/ 1 2)) * * * * [misc]progress: [ 11 / 612 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (* PI 2) (/ 1 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (log (* 2 PI)) 2) * [exit]simplify: Simplified to (/ (log (* 2 PI)) 2) * * * * [misc]progress: [ 13 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (* PI 2) (/ 1 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (exp (pow (* 2 PI) (/ 1 2))) * [exit]simplify: Simplified to (exp (pow (* 2 PI) (/ 1 2))) * * * * [misc]progress: [ 14 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) * [enter]simplify: Simplifying (cbrt (pow (* PI 2) (/ 1 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (pow (* 2 PI) (/ 1 2))) * [exit]simplify: Simplified to (cbrt (pow (* 2 PI) (/ 1 2))) * * * * [misc]progress: [ 15 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ 1 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (pow (* 2 PI) (/ 1 2)) 3) * [exit]simplify: Simplified to (pow (pow (* 2 PI) (/ 1 2)) 3) * * * * [misc]progress: [ 16 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (* PI 2) (/ 1 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (pow (* 2 PI) (/ 1 2))) * [exit]simplify: Simplified to (sqrt (pow (* 2 PI) (/ 1 2))) * [enter]simplify: Simplifying (sqrt (pow (* PI 2) (/ 1 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (pow (* 2 PI) (/ 1 2))) * [exit]simplify: Simplified to (sqrt (pow (* 2 PI) (/ 1 2))) * * * * [misc]progress: [ 17 / 612 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (expm1 (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k)))) * * * * [misc]progress: [ 19 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (log1p (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (log1p (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k)))) * * * * [misc]progress: [ 20 / 612 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 22 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 23 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log (* PI 2)) (/ 1 2)) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 24 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 25 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 26 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log (* PI 2)) (/ 1 2)) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 27 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (pow (* PI 2) (/ 1 2))) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 28 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (pow (* PI 2) (/ 1 2))) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 29 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (pow (* PI 2) (/ 1 2))) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * [exit]simplify: Simplified to (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 30 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * [exit]simplify: Simplified to (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 31 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 32 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (exp (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (exp (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k)))) * * * * [misc]progress: [ 33 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ 1 2))) (* (* (pow (* PI 2) (/ k 2)) (pow (* PI 2) (/ k 2))) (pow (* PI 2) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (378 enodes) * [exit]simplify: Simplified to (/ (* (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (* (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 34 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (* (* (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (* (sqrt (sqrt k)) (sqrt k)))) * [exit]simplify: Simplified to (* (* (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (* (sqrt (sqrt k)) (sqrt k)))) * * * * [misc]progress: [ 35 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2)))) (cbrt (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2)))) (cbrt (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (cbrt (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (cbrt (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k)))) * * * * [misc]progress: [ 36 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ k 2)) (pow (* 2 PI) (/ 1 2)))) (/ (* (sqrt k) (pow (* 2 PI) (/ k 2))) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ k 2)) (pow (* 2 PI) (/ 1 2)))) (/ (* (sqrt k) (pow (* 2 PI) (/ k 2))) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 37 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (sqrt (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k)))) * [enter]simplify: Simplifying (sqrt (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (sqrt (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k)))) * * * * [misc]progress: [ 38 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (- (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) * [exit]simplify: Simplified to (/ (- (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) * [enter]simplify: Simplifying (- (sqrt (sqrt k))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt k))) * [exit]simplify: Simplified to (- (sqrt (sqrt k))) * * * * [misc]progress: [ 39 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 40 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 41 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 42 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt 1)) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt 1)) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 43 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 44 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 45 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 46 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 47 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 48 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt 1)) * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 49 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 50 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 51 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 52 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 53 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 54 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (* (sqrt 1) (pow PI (/ k 2)))) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (* (sqrt 1) (pow PI (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (pow 2 (/ 1 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow 2 (/ 1 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 55 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 56 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (pow 2 (/ 1 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow 2 (/ 1 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 57 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 58 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2)))) (* (fabs (cbrt (sqrt k))) (cbrt (pow (* PI 2) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2)))) (* (fabs (cbrt (sqrt k))) (cbrt (pow (* PI 2) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 59 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 60 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow PI (/ 1 2)) (sqrt 1)) (cbrt (pow (* PI 2) (/ k 2)))) (cbrt (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (/ (pow PI (/ 1 2)) (sqrt 1)) (cbrt (pow (* PI 2) (/ k 2)))) (cbrt (pow (* PI 2) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 61 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 62 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 63 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 64 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 65 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 66 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt 1)) (sqrt (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt 1)) (sqrt (pow (* PI 2) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 67 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 68 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 69 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 70 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 71 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) 1) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 72 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (sqrt 1)) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (sqrt 1)) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * * * * [misc]progress: [ 73 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) 1) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 74 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow PI (/ 1 2)) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (pow PI (/ 1 2)) * [exit]simplify: Simplified to (pow PI (/ 1 2)) * [enter]simplify: Simplifying (/ (/ (pow 2 (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * * * * [misc]progress: [ 75 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (pow PI (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k))))) (pow PI (/ k 2))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k))))) (pow PI (/ k 2))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (pow 2 (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 76 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (pow PI (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (fabs (cbrt (sqrt k)))) (/ (pow PI (/ k 2)) (cbrt (pow (* 2 PI) (/ 1 2))))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (fabs (cbrt (sqrt k)))) (/ (pow PI (/ k 2)) (cbrt (pow (* 2 PI) (/ 1 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 77 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 78 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (pow PI (/ k 2))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt 1)) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt 1)) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 PI) (/ 1 2))) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 PI) (/ 1 2))) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 79 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 80 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (pow PI (/ k 2))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 PI) (/ 1 2))) (/ (pow PI (/ k 2)) (cbrt (pow (* 2 PI) (/ 1 2))))) * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 PI) (/ 1 2))) (/ (pow PI (/ k 2)) (cbrt (pow (* 2 PI) (/ 1 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 PI) (/ 1 2))) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 PI) (/ 1 2))) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 81 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 82 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 83 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 84 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt 1)) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt 1)) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 85 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 86 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 87 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (sqrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (sqrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 88 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (* (sqrt (pow (* 2 PI) (/ k 2))) (fabs (cbrt (sqrt k))))) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (* (sqrt (pow (* 2 PI) (/ k 2))) (fabs (cbrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 89 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (* (sqrt (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (* (sqrt (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 90 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt 1)) (/ (sqrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ 1 2))))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt 1)) (/ (sqrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ 1 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 91 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (* (sqrt (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (* (sqrt (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 92 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (/ 1 2))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (/ 1 2))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 93 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 94 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* 2 PI) (/ 1 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* 2 PI) (/ 1 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 95 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) 1) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* 2 PI) (/ 1 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* 2 PI) (/ 1 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 96 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 PI) (/ 1 2))) (/ (sqrt 1) (cbrt (pow (* 2 PI) (/ 1 2))))) * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 PI) (/ 1 2))) (/ (sqrt 1) (cbrt (pow (* 2 PI) (/ 1 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 PI) (/ 1 2))) (* (pow (* 2 PI) (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 PI) (/ 1 2))) (* (pow (* 2 PI) (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 97 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) 1) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* 2 PI) (/ 1 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* 2 PI) (/ 1 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 98 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 PI) (/ 1 2))) (* (pow (* 2 PI) (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 PI) (/ 1 2))) (* (pow (* 2 PI) (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 99 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow PI (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow 2 (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 100 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow PI (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2))) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2))) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 101 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 102 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow PI (/ k 2))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (sqrt 1) (pow PI (/ k 2)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (sqrt 1) (pow PI (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 103 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 104 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow PI (/ k 2))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2))) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow 2 (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 105 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))))) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 106 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (fabs (cbrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (fabs (cbrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 107 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 108 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt 1)) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt 1)) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 109 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 110 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (cbrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (cbrt (pow (* 2 PI) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 111 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 112 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 113 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 114 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (sqrt 1) (sqrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (sqrt 1) (sqrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 115 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 116 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 117 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 118 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 119 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) 1) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 120 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt 1)) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (pow (* 2 PI) (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (pow (* 2 PI) (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 121 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) 1) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 122 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (pow (* 2 PI) (/ 1 2))) * [exit]simplify: Simplified to (sqrt (pow (* 2 PI) (/ 1 2))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (pow (* 2 PI) (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (pow (* 2 PI) (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 123 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (pow PI (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (/ 1 (pow PI (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow 2 (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow 2 (/ k 2))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow 2 (/ k 2))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 124 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (pow PI (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow PI (/ k 2))) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (pow PI (/ k 2))) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow 2 (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow 2 (/ k 2))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow 2 (/ k 2))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 125 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 126 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (pow PI (/ k 2))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (pow PI (/ k 2))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (pow PI (/ k 2))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow 2 (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow 2 (/ k 2))) * * * * [misc]progress: [ 127 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 128 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (pow PI (/ k 2))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 1 (pow PI (/ k 2))) * [exit]simplify: Simplified to (/ 1 (pow PI (/ k 2))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow 2 (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow 2 (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow 2 (/ k 2))) * * * * [misc]progress: [ 129 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 130 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 PI) (/ k 2)))) (* (fabs (cbrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 PI) (/ k 2)))) (* (fabs (cbrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 131 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 PI) (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 PI) (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 132 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 133 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 PI) (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 PI) (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 134 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 135 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI 2) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (pow (* 2 PI) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (pow (* 2 PI) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 136 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 137 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (pow (* 2 PI) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 138 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI 2) (/ k 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (pow (* 2 PI) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 139 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (pow (* 2 PI) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (pow (* 2 PI) (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 140 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI 2) (/ k 2)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 PI) (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 141 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 142 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 143 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 144 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * * * * [misc]progress: [ 145 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 146 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * * * * [misc]progress: [ 147 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 148 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 149 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 150 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * * * * [misc]progress: [ 151 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 152 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) * * * * [misc]progress: [ 153 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* PI 2) (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI 2) (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 154 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* PI 2) (/ 1 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ 1 2)) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ 1 2)) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow (* 2 PI) (/ k 2))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (pow (* 2 PI) (/ k 2))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 155 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI 2) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 156 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* PI 2) (/ 1 2)) (sqrt 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ 1 2)) (sqrt 1)) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ 1 2)) (sqrt 1)) * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ 1 (* (pow (* 2 PI) (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (* (pow (* 2 PI) (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 157 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI 2) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 158 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* PI 2) (/ 1 2)) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (pow (* 2 PI) (/ 1 2)) * [exit]simplify: Simplified to (pow (* 2 PI) (/ 1 2)) * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ 1 (* (pow (* 2 PI) (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (* (pow (* 2 PI) (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 159 / 612 ] simplifiying candidate # * * * * [misc]progress: [ 160 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) * * * * [misc]progress: [ 161 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2))) (pow (* PI 2) (/ 1 2))) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2))) (pow (* PI 2) (/ 1 2))) * * * * [misc]progress: [ 162 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 163 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (fabs (cbrt (sqrt k)))) * * * * [misc]progress: [ 164 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 165 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt 1)) (pow (* 2 PI) (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt 1)) (pow (* 2 PI) (/ k 2))) * * * * [misc]progress: [ 166 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 167 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) * [exit]simplify: Simplified to (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) * * * * [misc]progress: [ 168 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) * * * * [misc]progress: [ 169 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) * * * * [misc]progress: [ 170 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow 2 (/ 1 2)) (pow 2 (/ k 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (pow 2 (/ 1 2))) (pow 2 (/ k 2))) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (pow 2 (/ 1 2))) (pow 2 (/ k 2))) * * * * [misc]progress: [ 171 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow 2 (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ 1 2)))) * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ 1 2)))) * * * * [misc]progress: [ 172 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow 2 (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (sqrt (pow (* 2 PI) (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ 1 2)))) * [exit]simplify: Simplified to (* (sqrt (pow (* 2 PI) (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ 1 2)))) * * * * [misc]progress: [ 173 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow 2 (/ 1 2)) (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (pow (* 2 PI) (/ k 2)) (/ (sqrt (sqrt k)) (pow 2 (/ 1 2)))) * [exit]simplify: Simplified to (* (pow (* 2 PI) (/ k 2)) (/ (sqrt (sqrt k)) (pow 2 (/ 1 2)))) * * * * [misc]progress: [ 174 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI 2) (/ 1 2))) (pow 2 (/ k 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (pow 2 (/ k 2)) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (pow 2 (/ k 2)) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ 1 2)))) * * * * [misc]progress: [ 175 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ k 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ 1 2)))) (cbrt (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ 1 2)))) (cbrt (pow (* PI 2) (/ k 2)))) * * * * [misc]progress: [ 176 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) * * * * [misc]progress: [ 177 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ 1 2)))) * * * * [misc]progress: [ 178 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow 2 (/ k 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (pow 2 (/ k 2)) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (pow 2 (/ k 2)) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ 1 2)))) * * * * [misc]progress: [ 179 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ k 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ 1 2)))) (cbrt (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ 1 2)))) (cbrt (pow (* PI 2) (/ k 2)))) * * * * [misc]progress: [ 180 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) * * * * [misc]progress: [ 181 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ 1 2)))) * * * * [misc]progress: [ 182 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI 2) (/ 1 2)) (pow 2 (/ k 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (pow 2 (/ k 2))) (pow (* PI 2) (/ 1 2))) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (pow 2 (/ k 2))) (pow (* PI 2) (/ 1 2))) * * * * [misc]progress: [ 183 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI 2) (/ 1 2)) (cbrt (pow (* PI 2) (/ k 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* PI 2) (/ k 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ 1 2)))) * [exit]simplify: Simplified to (* (cbrt (pow (* PI 2) (/ k 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ 1 2)))) * * * * [misc]progress: [ 184 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI 2) (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (sqrt (pow (* PI 2) (/ k 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ 1 2)))) * [exit]simplify: Simplified to (* (sqrt (pow (* PI 2) (/ k 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ 1 2)))) * * * * [misc]progress: [ 185 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2))) (pow (* PI 2) (/ 1 2))) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2))) (pow (* PI 2) (/ 1 2))) * * * * [misc]progress: [ 186 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2))) (pow (* PI 2) (/ 1 2))) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2))) (pow (* PI 2) (/ 1 2))) * * * * [misc]progress: [ 187 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt k)) (pow (* 2 PI) (/ k 2))) * [exit]simplify: Simplified to (* (sqrt (sqrt k)) (pow (* 2 PI) (/ k 2))) * * * * [misc]progress: [ 188 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) * [exit]simplify: Simplified to (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) * * * * [misc]progress: [ 189 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (expm1 (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (expm1 (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * * * * [misc]progress: [ 190 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (log1p (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (log1p (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * * * * [misc]progress: [ 191 / 612 ] simplifiying candidate # * * * * [misc]progress: [ 192 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (- (/ (* (log n) (- 1 k)) 2) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (/ (* (log n) (- 1 k)) 2) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 193 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 194 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (- (* (/ (log n) 2) (- 1 k)) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (* (/ (log n) 2) (- 1 k)) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 195 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 196 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (log (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 197 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) * [exit]simplify: Simplified to (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) * * * * [misc]progress: [ 198 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (exp (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (exp (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * * * * [misc]progress: [ 199 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (pow n (/ 1 2)) (pow n (/ 1 2))) (pow n (/ 1 2))) (* (* (pow n (/ k 2)) (pow n (/ k 2))) (pow n (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (sqrt (sqrt k)) (sqrt k)) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (sqrt (sqrt k)) (sqrt k)) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 200 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt k) (sqrt (sqrt k)))) (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt k) (sqrt (sqrt k)))) (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 201 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2)))) (cbrt (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2)))) (cbrt (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))))) * [enter]simplify: Simplifying (cbrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (cbrt (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * * * * [misc]progress: [ 202 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (/ (pow n (/ k 2)) (pow n (/ 1 2)))) (/ (* (sqrt k) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (/ (pow n (/ k 2)) (pow n (/ 1 2)))) (/ (* (sqrt k) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 203 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (sqrt (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * [enter]simplify: Simplifying (sqrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (sqrt (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * * * * [misc]progress: [ 204 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (pow n (/ 1 2)) (pow n (/ k 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (- (pow n (/ 1 2))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (- (pow n (/ 1 2))) (pow n (/ k 2))) * [enter]simplify: Simplifying (- (sqrt (sqrt k))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt k))) * [exit]simplify: Simplified to (- (sqrt (sqrt k))) * * * * [misc]progress: [ 205 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 206 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 207 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 208 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt 1) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt 1) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 209 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 210 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 211 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 212 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 213 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 214 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt 1)) * [enter]simplify: Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 215 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 216 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) * [exit]simplify: Simplified to (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 217 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 218 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 219 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 220 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (sqrt 1)) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (sqrt 1)) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 221 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 222 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 223 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt (sqrt k))))) (sqrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt (sqrt k))))) (sqrt (pow n (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 224 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (fabs (cbrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (fabs (cbrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 225 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 226 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt 1)) (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt 1)) (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 227 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 228 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 229 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt (sqrt k)))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt (sqrt k)))) (pow n (/ k 2))) * * * * [misc]progress: [ 230 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (fabs (cbrt (sqrt k)))) (cbrt (pow n (/ 1 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (fabs (cbrt (sqrt k)))) (cbrt (pow n (/ 1 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (cbrt (sqrt k)))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (cbrt (sqrt k)))) (pow n (/ k 2))) * * * * [misc]progress: [ 231 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (cbrt (pow n (/ 1 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (cbrt (pow n (/ 1 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow n (/ k 2))) * * * * [misc]progress: [ 232 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt 1)) (cbrt (pow n (/ 1 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt 1)) (cbrt (pow n (/ 1 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (cbrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 233 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (cbrt (pow n (/ 1 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (cbrt (pow n (/ 1 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow n (/ k 2))) * * * * [misc]progress: [ 234 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) * [exit]simplify: Simplified to (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (cbrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 235 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (pow n (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (pow n (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (pow n (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 236 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 237 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 238 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt 1)) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt 1)) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 239 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 240 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 241 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 242 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 243 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 244 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt 1)) (sqrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt 1)) (sqrt (pow n (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 245 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 246 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 247 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (sqrt (sqrt k)))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (sqrt (sqrt k)))) (pow n (/ k 2))) * * * * [misc]progress: [ 248 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (cbrt (sqrt k)))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (cbrt (sqrt k)))) (pow n (/ k 2))) * * * * [misc]progress: [ 249 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow n (/ k 2))) * * * * [misc]progress: [ 250 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt 1)) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 251 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow n (/ k 2))) * * * * [misc]progress: [ 252 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (pow n (/ 1 2))) * [exit]simplify: Simplified to (sqrt (pow n (/ 1 2))) * [enter]simplify: Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (sqrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 253 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt k))) (cbrt (pow n (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (pow n (/ k 2)))))) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt k))) (cbrt (pow n (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (pow n (/ k 2)))))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (/ k 2)))) * * * * [misc]progress: [ 254 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (/ k 2)))) * * * * [misc]progress: [ 255 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow n (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow n (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (pow n (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (/ k 2)))) * * * * [misc]progress: [ 256 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (pow n (/ k 2)))) (cbrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (pow n (/ k 2)))) (cbrt (pow n (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow n (/ k 2)))) * * * * [misc]progress: [ 257 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow n (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow n (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (pow n (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (/ k 2)))) * * * * [misc]progress: [ 258 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow n (/ k 2)))) (cbrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow n (/ k 2)))) (cbrt (pow n (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow n (/ k 2)))) * * * * [misc]progress: [ 259 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (pow n (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (pow n (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (/ k 2)))) * * * * [misc]progress: [ 260 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (pow n (/ k 2))))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (/ k 2)))) * * * * [misc]progress: [ 261 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (/ k 2)))) * * * * [misc]progress: [ 262 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (pow n (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow n (/ k 2)))) * * * * [misc]progress: [ 263 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (/ k 2)))) * * * * [misc]progress: [ 264 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ 1 (sqrt (pow n (/ k 2)))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow n (/ k 2)))) * * * * [misc]progress: [ 265 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 266 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 267 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 268 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) * * * * [misc]progress: [ 269 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 270 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) * * * * [misc]progress: [ 271 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 272 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 273 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 274 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) * * * * [misc]progress: [ 275 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 276 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) * * * * [misc]progress: [ 277 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow n (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [enter]simplify: Simplifying (/ (/ 1 (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 278 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow n (/ 1 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (fabs (cbrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ 1 (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 279 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ 1 (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 280 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow n (/ 1 2)) (sqrt 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (sqrt 1)) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (sqrt 1)) * [enter]simplify: Simplifying (/ (/ 1 (pow n (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow n (/ k 2))) * * * * [misc]progress: [ 281 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) * [enter]simplify: Simplifying (/ (/ 1 (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ 1 (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 282 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow n (/ 1 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow n (/ 1 2)) * [exit]simplify: Simplified to (pow n (/ 1 2)) * [enter]simplify: Simplifying (/ (/ 1 (pow n (/ k 2))) (sqrt (sqrt k))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow n (/ k 2))) * * * * [misc]progress: [ 283 / 612 ] simplifiying candidate # * * * * [misc]progress: [ 284 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) * * * * [misc]progress: [ 285 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (pow n (/ 1 2))) (pow n (/ k 2))) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (pow n (/ 1 2))) (pow n (/ k 2))) * * * * [misc]progress: [ 286 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 287 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (fabs (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (fabs (cbrt (sqrt k)))) * * * * [misc]progress: [ 288 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 289 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (* (sqrt 1) (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (* (sqrt 1) (pow n (/ k 2)))) * * * * [misc]progress: [ 290 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) * * * * [misc]progress: [ 291 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (pow n (/ k 2))) * * * * [misc]progress: [ 292 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 293 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 294 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (pow n (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (cbrt (pow n (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (/ 1 2)))) * * * * [misc]progress: [ 295 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (/ 1 2)))) * * * * [misc]progress: [ 296 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (pow n (/ k 2))) (cbrt (pow n (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (pow n (/ k 2))) (cbrt (pow n (/ 1 2)))) * * * * [misc]progress: [ 297 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (cbrt (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (/ 1 2)))) * * * * [misc]progress: [ 298 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (/ 1 2)))) * * * * [misc]progress: [ 299 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (pow n (/ k 2))) (sqrt (pow n (/ 1 2)))) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (pow n (/ k 2))) (sqrt (pow n (/ 1 2)))) * * * * [misc]progress: [ 300 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow n (/ 1 2)))) * [exit]simplify: Simplified to (* (cbrt (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow n (/ 1 2)))) * * * * [misc]progress: [ 301 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow n (/ 1 2)))) * [exit]simplify: Simplified to (* (sqrt (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow n (/ 1 2)))) * * * * [misc]progress: [ 302 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (pow n (/ 1 2))) (pow n (/ k 2))) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (pow n (/ 1 2))) (pow n (/ k 2))) * * * * [misc]progress: [ 303 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (pow n (/ 1 2))) (pow n (/ k 2))) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (pow n (/ 1 2))) (pow n (/ k 2))) * * * * [misc]progress: [ 304 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (pow n (/ k 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt k)) (pow n (/ k 2))) * [exit]simplify: Simplified to (* (sqrt (sqrt k)) (pow n (/ k 2))) * * * * [misc]progress: [ 305 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt k)) (pow n (/ k 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt k)) (pow n (/ k 2))) * [exit]simplify: Simplified to (* (sqrt (sqrt k)) (pow n (/ k 2))) * * * * [misc]progress: [ 306 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (expm1 (/ (pow n (/ 1 2)) (* (* (sqrt k) (pow (* 2 PI) (/ k 2))) (/ (pow n (/ k 2)) (pow (* 2 PI) (/ 1 2)))))) * [exit]simplify: Simplified to (expm1 (/ (pow n (/ 1 2)) (* (* (sqrt k) (pow (* 2 PI) (/ k 2))) (/ (pow n (/ k 2)) (pow (* 2 PI) (/ 1 2)))))) * * * * [misc]progress: [ 307 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (log1p (/ (pow n (/ 1 2)) (* (* (sqrt k) (pow (* 2 PI) (/ k 2))) (/ (pow n (/ k 2)) (pow (* 2 PI) (/ 1 2)))))) * [exit]simplify: Simplified to (log1p (/ (pow n (/ 1 2)) (* (* (sqrt k) (pow (* 2 PI) (/ k 2))) (/ (pow n (/ k 2)) (pow (* 2 PI) (/ 1 2)))))) * * * * [misc]progress: [ 308 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 309 / 612 ] simplifiying candidate # * * * * [misc]progress: [ 310 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 311 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 312 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 313 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 314 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 315 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* 2 PI))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 316 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 317 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 318 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 319 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (log (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (- (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (- (/ (log n) 2) (/ (log n) (/ 2 k))))) * [exit]simplify: Simplified to (- (- (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (- (/ (log n) 2) (/ (log n) (/ 2 k))))) * * * * [misc]progress: [ 320 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (log (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (- (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))))) * [exit]simplify: Simplified to (- (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log (* 2 PI)) (- (/ 1 2) (/ k 2))))) * * * * [misc]progress: [ 321 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 322 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 323 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 324 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 325 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 326 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 327 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 328 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 329 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 330 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (log (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (- (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (- (/ (log n) 2) (* (log n) (/ k 2))))) * [exit]simplify: Simplified to (- (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (- (/ (log n) 2) (* (log n) (/ k 2))))) * * * * [misc]progress: [ 331 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (log (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 332 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 333 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 334 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 335 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 336 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 337 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 338 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 339 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 340 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 341 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (log (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (- (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log (* PI 2)) (- (/ 1 2) (/ k 2))))) * [exit]simplify: Simplified to (- (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log (* PI 2)) (- (/ 1 2) (/ k 2))))) * * * * [misc]progress: [ 342 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (log (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (/ (log n) (/ 2 k))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 343 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 344 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 345 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 346 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 347 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 348 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 349 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 350 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 351 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 352 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (log (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 353 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (log (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 354 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 355 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 356 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 357 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 358 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 359 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 360 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (- (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (- (/ (log n) 2) (* (log n) (/ k 2))))) * [exit]simplify: Simplified to (- (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (- (/ (log n) 2) (* (log n) (/ k 2))))) * * * * [misc]progress: [ 361 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (- (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (- (/ (log n) 2) (* (log n) (/ k 2))))) * [exit]simplify: Simplified to (- (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (- (/ (log n) 2) (* (log n) (/ k 2))))) * * * * [misc]progress: [ 362 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (- (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (- (/ 1 2) (/ k 2)) (log (* PI 2))))) * [exit]simplify: Simplified to (- (- (- (/ (log n) 2) (* (/ k 2) (log n))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (- (/ 1 2) (/ k 2)) (log (* PI 2))))) * * * * [misc]progress: [ 363 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (- (log (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 364 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (log (sqrt (sqrt k)))) (log (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (- (/ (log n) 2) (* (log n) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 365 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (+ (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 366 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (+ (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 367 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (383 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 368 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (+ (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 369 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (+ (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 370 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (- (- (* (log (* PI 2)) (/ 1 2)) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (383 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 371 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 372 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (* (log (* PI 2)) (/ k 2))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 373 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (- (- (log (pow (* PI 2) (/ 1 2))) (log (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log (* PI 2)) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 374 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (- (log (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (log (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * [exit]simplify: Simplified to (+ (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (+ (- (* (log n) (- (/ 1 2) (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- (/ 1 2) (/ k 2)) (log (* PI 2))) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 375 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (log (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (- (- (fma (log (* PI 2)) (- (/ 1 2) (/ k 2)) (/ (log n) 2)) (log (sqrt (sqrt k)))) (fma (log n) (/ k 2) (log (sqrt (sqrt k))))) * [exit]simplify: Simplified to (- (- (fma (log (* PI 2)) (- (/ 1 2) (/ k 2)) (/ (log n) 2)) (log (sqrt (sqrt k)))) (fma (log n) (/ k 2) (log (sqrt (sqrt k))))) * * * * [misc]progress: [ 376 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (- (+ (- (* (log n) (/ 1 2)) (* (/ k 2) (log n))) (* (/ 1 2) (log (* 2 PI)))) (log (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (- (+ (- (* (log n) (/ 1 2)) (* (/ k 2) (log n))) (* (/ 1 2) (log (* 2 PI)))) (log (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 377 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (exp (/ (pow n (/ 1 2)) (* (* (pow n (/ k 2)) (sqrt k)) (/ (pow (* 2 PI) (/ k 2)) (pow (* 2 PI) (/ 1 2)))))) * [exit]simplify: Simplified to (exp (/ (pow n (/ 1 2)) (* (* (pow n (/ k 2)) (sqrt k)) (/ (pow (* 2 PI) (/ k 2)) (pow (* 2 PI) (/ 1 2)))))) * * * * [misc]progress: [ 378 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (* (* (pow n (/ 1 2)) (pow n (/ 1 2))) (pow n (/ 1 2))) (* (* (pow n (/ k 2)) (pow n (/ k 2))) (pow n (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ 1 2))) (* (* (pow (* PI 2) (/ k 2)) (pow (* PI 2) (/ k 2))) (pow (* PI 2) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (sqrt (sqrt k)) (sqrt k)) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (* (sqrt (sqrt k)) (sqrt k)) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))))) * [exit]simplify: Simplified to (* (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (sqrt (sqrt k)) (sqrt k)) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (* (sqrt (sqrt k)) (sqrt k)) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))))) * * * * [misc]progress: [ 379 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (* (* (pow n (/ 1 2)) (pow n (/ 1 2))) (pow n (/ 1 2))) (* (* (pow n (/ k 2)) (pow n (/ k 2))) (pow n (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (* (sqrt (sqrt k)) (sqrt k)) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (sqrt (sqrt k)) (sqrt k)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) * [exit]simplify: Simplified to (* (/ (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (* (sqrt (sqrt k)) (sqrt k)) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (sqrt (sqrt k)) (sqrt k)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) * * * * [misc]progress: [ 380 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (* (* (pow n (/ 1 2)) (pow n (/ 1 2))) (pow n (/ 1 2))) (* (* (pow n (/ k 2)) (pow n (/ k 2))) (pow n (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (pow (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (pow (* PI 2) (/ k 2))) 3) (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (sqrt (sqrt k)) (sqrt k)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) * [exit]simplify: Simplified to (* (pow (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (pow (* PI 2) (/ k 2))) 3) (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (sqrt (sqrt k)) (sqrt k)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) * * * * [misc]progress: [ 381 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ 1 2))) (* (* (pow (* PI 2) (/ k 2)) (pow (* PI 2) (/ k 2))) (pow (* PI 2) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) * [exit]simplify: Simplified to (* (/ (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) * * * * [misc]progress: [ 382 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) * [exit]simplify: Simplified to (* (/ (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) * * * * [misc]progress: [ 383 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (pow (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) 3) (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) * [exit]simplify: Simplified to (* (pow (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) 3) (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) * * * * [misc]progress: [ 384 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (/ (/ (* (* (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ 1 2))) (* (* (pow (* PI 2) (/ k 2)) (pow (* PI 2) (/ k 2))) (pow (* PI 2) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (pow (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))) 3)) * [exit]simplify: Simplified to (* (/ (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (pow (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))) 3)) * * * * [misc]progress: [ 385 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (/ (* (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (pow (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) 3)) * [exit]simplify: Simplified to (* (/ (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (/ (* (sqrt k) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (pow (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) 3)) * * * * [misc]progress: [ 386 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (* (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (* (pow (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))) 3) (pow (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) 3)) * [exit]simplify: Simplified to (* (pow (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))) 3) (pow (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) 3)) * * * * [misc]progress: [ 387 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) (cbrt (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* (pow (* 2 PI) (/ 1 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) (cbrt (/ (* (pow (* 2 PI) (/ 1 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (sqrt k) (pow (* 2 PI) (/ k 2)))))) * [exit]simplify: Simplified to (* (cbrt (/ (* (pow (* 2 PI) (/ 1 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) (cbrt (/ (* (pow (* 2 PI) (/ 1 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (sqrt k) (pow (* 2 PI) (/ k 2)))))) * [enter]simplify: Simplifying (cbrt (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow n (/ 1 2)) (* (* (sqrt k) (pow (* 2 PI) (/ k 2))) (/ (pow n (/ k 2)) (pow (* 2 PI) (/ 1 2)))))) * [exit]simplify: Simplified to (cbrt (/ (pow n (/ 1 2)) (* (* (sqrt k) (pow (* 2 PI) (/ k 2))) (/ (pow n (/ k 2)) (pow (* 2 PI) (/ 1 2)))))) * * * * [misc]progress: [ 388 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * [exit]simplify: Simplified to (pow (/ (/ (* (pow n (/ 1 2)) (pow (* 2 PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (* (sqrt (sqrt k)) (pow (* 2 PI) (/ k 2)))) 3) * [exit]simplify: Simplified to (pow (/ (/ (* (pow n (/ 1 2)) (pow (* 2 PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (* (sqrt (sqrt k)) (pow (* 2 PI) (/ k 2)))) 3) * * * * [misc]progress: [ 389 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow n (/ 1 2)) (* (* (sqrt k) (pow (* 2 PI) (/ k 2))) (/ (pow n (/ k 2)) (pow (* 2 PI) (/ 1 2)))))) * [exit]simplify: Simplified to (sqrt (/ (pow n (/ 1 2)) (* (* (sqrt k) (pow (* 2 PI) (/ k 2))) (/ (pow n (/ k 2)) (pow (* 2 PI) (/ 1 2)))))) * [enter]simplify: Simplifying (sqrt (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow n (/ 1 2)) (* (* (sqrt k) (pow (* 2 PI) (/ k 2))) (/ (pow n (/ k 2)) (pow (* 2 PI) (/ 1 2)))))) * [exit]simplify: Simplified to (sqrt (/ (pow n (/ 1 2)) (* (* (sqrt k) (pow (* 2 PI) (/ k 2))) (/ (pow n (/ k 2)) (pow (* 2 PI) (/ 1 2)))))) * * * * [misc]progress: [ 390 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) * [exit]simplify: Simplified to (* (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) * [enter]simplify: Simplifying (* (sqrt (sqrt k)) (sqrt (sqrt k))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt k) * [exit]simplify: Simplified to (sqrt k) * * * * [misc]progress: [ 391 / 612 ] simplifiying candidate # * * * * [misc]progress: [ 392 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (cbrt (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (* (sqrt (sqrt k)) (pow (* 2 PI) (/ k 2))))) (/ (* (sqrt (sqrt k)) (/ (pow n (/ k 2)) (pow n (/ 1 2)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (* (sqrt (sqrt k)) (pow (* 2 PI) (/ k 2))))))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (* (sqrt (sqrt k)) (pow (* 2 PI) (/ k 2))))) (/ (* (sqrt (sqrt k)) (/ (pow n (/ k 2)) (pow n (/ 1 2)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (* (sqrt (sqrt k)) (pow (* 2 PI) (/ k 2))))))) * * * * [misc]progress: [ 393 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2)))) (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2)))) (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * * * * [misc]progress: [ 394 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (/ (* (sqrt (sqrt k)) (pow n (/ k 2))) (pow n (/ 1 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (/ (* (sqrt (sqrt k)) (pow n (/ k 2))) (pow n (/ 1 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))))) * * * * [misc]progress: [ 395 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (* (fabs (cbrt (sqrt k))) (pow n (/ k 2)))) (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ 1 2))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (* (fabs (cbrt (sqrt k))) (pow n (/ k 2)))) (/ (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ 1 2))))) * * * * [misc]progress: [ 396 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (/ (* (pow n (/ 1 2)) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) (/ (* (* (sqrt (sqrt k)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))))) * [exit]simplify: Simplified to (/ (* (pow n (/ 1 2)) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) (/ (* (* (sqrt (sqrt k)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))))) * * * * [misc]progress: [ 397 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (pow n (/ k 2)) (sqrt 1))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))))) * [exit]simplify: Simplified to (* (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (pow n (/ k 2)) (sqrt 1))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))))) * * * * [misc]progress: [ 398 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (/ (* (pow n (/ 1 2)) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) (/ (* (* (sqrt (sqrt k)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))))) * [exit]simplify: Simplified to (/ (* (pow n (/ 1 2)) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) (/ (* (* (sqrt (sqrt k)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))))) * * * * [misc]progress: [ 399 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))) 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) (* (pow n (/ k 2)) (/ (sqrt (sqrt k)) (pow n (/ 1 2))))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (cbrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) (* (pow n (/ k 2)) (/ (sqrt (sqrt k)) (pow n (/ 1 2))))) * * * * [misc]progress: [ 400 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 401 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (pow n (/ k 2))) (/ (fabs (cbrt (sqrt k))) (/ (pow n (/ 1 2)) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (pow n (/ k 2))) (/ (fabs (cbrt (sqrt k))) (/ (pow n (/ 1 2)) (sqrt (sqrt k))))) * * * * [misc]progress: [ 402 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (/ (pow n (/ k 2)) (pow n (/ 1 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (/ (pow n (/ k 2)) (pow n (/ 1 2)))) * * * * [misc]progress: [ 403 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (* (* (sqrt 1) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow n (/ 1 2))))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (* (* (sqrt 1) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow n (/ 1 2))))) * * * * [misc]progress: [ 404 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (/ (pow n (/ k 2)) (pow n (/ 1 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (/ (pow n (/ k 2)) (pow n (/ 1 2)))) * * * * [misc]progress: [ 405 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (sqrt (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 406 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (pow n (/ 1 2)))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (pow n (/ 1 2)))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) * * * * [misc]progress: [ 407 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (pow PI (/ 1 2)) (* (pow n (/ k 2)) (pow PI (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (pow PI (/ 1 2)) (* (pow n (/ k 2)) (pow PI (/ k 2))))) * * * * [misc]progress: [ 408 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ 1 2)) (* (pow n (/ k 2)) (pow PI (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ 1 2)) (* (pow n (/ k 2)) (pow PI (/ k 2))))) * * * * [misc]progress: [ 409 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt 1)) (/ (pow n (/ 1 2)) (* (pow n (/ k 2)) (pow PI (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt 1)) (/ (pow n (/ 1 2)) (* (pow n (/ k 2)) (pow PI (/ k 2))))) * * * * [misc]progress: [ 410 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ 1 2)) (* (pow n (/ k 2)) (pow PI (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ 1 2)) (* (pow n (/ k 2)) (pow PI (/ k 2))))) * * * * [misc]progress: [ 411 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ 1 2)) (pow n (/ k 2))) (pow PI (/ k 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ 1 2)) (pow n (/ k 2))) (pow PI (/ k 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 412 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))) (* (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))))) * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))) (* (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))))) * * * * [misc]progress: [ 413 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ k 2))) (pow n (/ k 2)))) (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (fabs (cbrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ k 2))) (pow n (/ k 2)))) (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (fabs (cbrt (sqrt k))))) * * * * [misc]progress: [ 414 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * [exit]simplify: Simplified to (/ (* (/ (pow n (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (pow PI (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2))))) (* (* (sqrt (sqrt k)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (* (/ (pow n (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (pow PI (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2))))) (* (* (sqrt (sqrt k)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 415 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * [exit]simplify: Simplified to (/ (* (/ (pow n (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (pow PI (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2))))) (* (* (sqrt (sqrt k)) (pow n (/ k 2))) (sqrt 1))) * [exit]simplify: Simplified to (/ (* (/ (pow n (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (pow PI (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2))))) (* (* (sqrt (sqrt k)) (pow n (/ k 2))) (sqrt 1))) * * * * [misc]progress: [ 416 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * [exit]simplify: Simplified to (/ (* (/ (pow n (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (pow PI (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2))))) (* (* (sqrt (sqrt k)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (* (/ (pow n (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (pow PI (/ 1 2)) (cbrt (pow (* 2 PI) (/ k 2))))) (* (* (sqrt (sqrt k)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 417 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (/ (/ (* (pow n (/ 1 2)) (pow PI (/ 1 2))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (* (pow n (/ 1 2)) (pow PI (/ 1 2))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 418 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (/ (sqrt (sqrt k)) (pow PI (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (/ (sqrt (sqrt k)) (pow PI (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 419 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) (/ (/ (pow PI (/ 1 2)) (pow n (/ k 2))) (fabs (cbrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) (/ (/ (pow PI (/ 1 2)) (pow n (/ k 2))) (fabs (cbrt (sqrt k))))) * * * * [misc]progress: [ 420 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 421 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (* (/ (pow n (/ 1 2)) (* (sqrt 1) (pow n (/ k 2)))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (/ (pow n (/ 1 2)) (* (sqrt 1) (pow n (/ k 2)))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 422 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 423 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* PI 2) (/ k 2)))) 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ k 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) * * * * [misc]progress: [ 424 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 425 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (fabs (cbrt (sqrt k)))) (/ (pow n (/ k 2)) (/ (pow n (/ 1 2)) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (pow PI (/ 1 2)) (fabs (cbrt (sqrt k)))) (/ (pow n (/ k 2)) (/ (pow n (/ 1 2)) (sqrt (sqrt k))))) * * * * [misc]progress: [ 426 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) 1) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * * * * [misc]progress: [ 427 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ (pow PI (/ 1 2)) (* (sqrt (sqrt k)) (sqrt 1))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) * [exit]simplify: Simplified to (* (/ (pow PI (/ 1 2)) (* (sqrt (sqrt k)) (sqrt 1))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) * * * * [misc]progress: [ 428 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) 1) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * * * * [misc]progress: [ 429 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) 1) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (465 enodes) * [exit]simplify: Simplified to (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow PI (/ 1 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow PI (/ 1 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 430 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (pow PI (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (pow PI (/ k 2)) (pow n (/ k 2)))))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (pow PI (/ k 2)) (pow n (/ k 2)))))) * * * * [misc]progress: [ 431 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (pow PI (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (pow PI (/ k 2))) (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (fabs (cbrt (sqrt k))) (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (pow PI (/ k 2))) (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (fabs (cbrt (sqrt k))) (pow n (/ k 2))))) * * * * [misc]progress: [ 432 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ 1 2)))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ 1 2)))))) * * * * [misc]progress: [ 433 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (pow PI (/ k 2))) (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (/ (sqrt 1) (cbrt (pow (* 2 PI) (/ 1 2)))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (/ (sqrt 1) (cbrt (pow (* 2 PI) (/ 1 2)))))) * * * * [misc]progress: [ 434 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ 1 2)))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ 1 2)))))) * * * * [misc]progress: [ 435 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (pow PI (/ k 2))) 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (pow PI (/ k 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (pow PI (/ k 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 436 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))))) * * * * [misc]progress: [ 437 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt k)))) (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt k)))) (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))))) * * * * [misc]progress: [ 438 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (/ (* (pow n (/ 1 2)) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))))) * [exit]simplify: Simplified to (/ (* (pow n (/ 1 2)) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))))) * * * * [misc]progress: [ 439 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (* (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (sqrt 1) (pow n (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (sqrt 1) (pow n (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 440 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (/ (* (pow n (/ 1 2)) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))))) * [exit]simplify: Simplified to (/ (* (pow n (/ 1 2)) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))))) * * * * [misc]progress: [ 441 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (370 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (* (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))))) * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (* (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2)))))) * * * * [misc]progress: [ 442 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (sqrt (pow (* 2 PI) (/ k 2))) (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (* (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (sqrt (pow (* 2 PI) (/ k 2))) (pow n (/ k 2))))) * * * * [misc]progress: [ 443 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (sqrt (pow (* 2 PI) (/ k 2))) (pow n (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* 2 PI) (/ 1 2)))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (sqrt (pow (* 2 PI) (/ k 2))) (pow n (/ k 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* 2 PI) (/ 1 2)))))) * * * * [misc]progress: [ 444 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 445 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2))))) (/ (* (sqrt 1) (sqrt (sqrt k))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2))))) (/ (* (sqrt 1) (sqrt (sqrt k))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 446 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 447 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) (sqrt (pow (* PI 2) (/ k 2)))) 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (* (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))) (sqrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 448 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (* (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 449 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (/ 1 2))) (/ (* (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ 1 2)))) (* (fabs (cbrt (sqrt k))) (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (/ 1 2))) (/ (* (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ 1 2)))) (* (fabs (cbrt (sqrt k))) (pow n (/ k 2))))) * * * * [misc]progress: [ 450 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) 1) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (/ (pow n (/ k 2)) (pow n (/ 1 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (/ (pow n (/ k 2)) (pow n (/ 1 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) * * * * [misc]progress: [ 451 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (sqrt 1) (pow n (/ k 2)))) (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (sqrt 1) (pow n (/ k 2)))) (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2))))) * * * * [misc]progress: [ 452 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) 1) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (/ (pow n (/ k 2)) (pow n (/ 1 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (* (cbrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (/ (pow n (/ k 2)) (pow n (/ 1 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) * * * * [misc]progress: [ 453 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow (* PI 2) (/ 1 2))) (cbrt (pow (* PI 2) (/ 1 2)))) 1) 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * [exit]simplify: Simplified to (* (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (* (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (pow (* 2 PI) (/ 1 2)))) (/ (cbrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k)))) * * * * [misc]progress: [ 454 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow PI (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow PI (/ k 2))))) * * * * [misc]progress: [ 455 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow PI (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (pow (* 2 PI) (/ 1 2))) (fabs (cbrt (sqrt k)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))) * [exit]simplify: Simplified to (* (/ (sqrt (pow (* 2 PI) (/ 1 2))) (fabs (cbrt (sqrt k)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))) * * * * [misc]progress: [ 456 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))) * * * * [misc]progress: [ 457 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow PI (/ k 2))) (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (* (/ (pow n (/ 1 2)) (* (sqrt 1) (pow n (/ k 2)))) (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))) * [exit]simplify: Simplified to (* (/ (pow n (/ 1 2)) (* (sqrt 1) (pow n (/ k 2)))) (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))) * * * * [misc]progress: [ 458 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))) * * * * [misc]progress: [ 459 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (pow PI (/ k 2))) 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (* (pow PI (/ k 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ 1 2))))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (* (pow PI (/ k 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ 1 2))))) * * * * [misc]progress: [ 460 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ 1 2)))) (* (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))))) * [exit]simplify: Simplified to (/ (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ 1 2)))) (* (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))))) * * * * [misc]progress: [ 461 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (* (/ (pow n (/ 1 2)) (* (cbrt (pow (* 2 PI) (/ k 2))) (* (sqrt (sqrt k)) (pow n (/ k 2))))) (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (fabs (cbrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))))) * [exit]simplify: Simplified to (* (/ (pow n (/ 1 2)) (* (cbrt (pow (* 2 PI) (/ k 2))) (* (sqrt (sqrt k)) (pow n (/ k 2))))) (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (fabs (cbrt (sqrt k))) (cbrt (pow (* 2 PI) (/ k 2)))))) * * * * [misc]progress: [ 462 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ 1 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ 1 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 463 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ 1 2)))) (* (sqrt 1) (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ 1 2)))) (* (sqrt 1) (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 464 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ 1 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ 1 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 465 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2)))) (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (sqrt (sqrt k))) * * * * [misc]progress: [ 466 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (sqrt (pow (* 2 PI) (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (sqrt (pow (* 2 PI) (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 467 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 468 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ 1 2)))) (* (* (sqrt (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ 1 2)))) (* (* (sqrt (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 469 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ 1 2)))) (* (sqrt (pow (* 2 PI) (/ k 2))) (* (sqrt 1) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ 1 2)))) (* (sqrt (pow (* 2 PI) (/ k 2))) (* (sqrt 1) (sqrt (sqrt k))))) * * * * [misc]progress: [ 470 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ 1 2)))) (* (* (sqrt (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ 1 2)))) (* (* (sqrt (pow (* 2 PI) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 471 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) (sqrt (pow (* PI 2) (/ k 2)))) 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 472 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow n (/ k 2))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow n (/ k 2))) (cbrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 473 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 PI) (/ 1 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 PI) (/ 1 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (pow n (/ k 2)))) * * * * [misc]progress: [ 474 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) 1) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (* (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) * * * * [misc]progress: [ 475 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (sqrt 1) (sqrt (sqrt k)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) * [exit]simplify: Simplified to (* (/ (sqrt (pow (* 2 PI) (/ 1 2))) (* (sqrt 1) (sqrt (sqrt k)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) * * * * [misc]progress: [ 476 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) 1) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (* (/ (sqrt (pow (* 2 PI) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) * * * * [misc]progress: [ 477 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI 2) (/ 1 2))) 1) 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (477 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (* (/ (sqrt (pow (* 2 PI) (/ 1 2))) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 478 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow PI (/ k 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow PI (/ k 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 479 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (pow PI (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (pow PI (/ k 2)) (fabs (cbrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (pow PI (/ k 2)) (fabs (cbrt (sqrt k))))) * * * * [misc]progress: [ 480 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (pow PI (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (pow PI (/ k 2)))) * * * * [misc]progress: [ 481 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (pow PI (/ k 2))) (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow PI (/ k 2))) (* (sqrt (sqrt k)) (sqrt 1))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow PI (/ k 2))) (* (sqrt (sqrt k)) (sqrt 1))) (pow n (/ k 2))) * * * * [misc]progress: [ 482 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (pow PI (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (pow PI (/ k 2)))) * * * * [misc]progress: [ 483 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (pow PI (/ k 2))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (pow n (/ k 2)) (pow PI (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (pow n (/ k 2)) (pow PI (/ k 2)))) * * * * [misc]progress: [ 484 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (sqrt (sqrt k)))))) * * * * [misc]progress: [ 485 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (cbrt (pow (* 2 PI) (/ k 2)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (fabs (cbrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (cbrt (pow (* 2 PI) (/ k 2)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (fabs (cbrt (sqrt k))))) * * * * [misc]progress: [ 486 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * * * * [misc]progress: [ 487 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ 1 (sqrt 1)) (pow n (/ 1 2))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (* (/ 1 (sqrt 1)) (pow n (/ 1 2))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 488 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (* (sqrt (sqrt k)) (pow n (/ k 2))))) * * * * [misc]progress: [ 489 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* PI 2) (/ k 2))) (cbrt (pow (* PI 2) (/ k 2))))) 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (* (cbrt (pow (* 2 PI) (/ k 2))) (cbrt (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 490 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* PI 2) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow (* 2 PI) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow (* 2 PI) (/ k 2)))) * * * * [misc]progress: [ 491 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (pow (* 2 PI) (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt k)))) * * * * [misc]progress: [ 492 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 493 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* PI 2) (/ k 2)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 PI) (/ k 2))) (sqrt 1))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 PI) (/ k 2))) (sqrt 1))) * * * * [misc]progress: [ 494 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* PI 2) (/ k 2)))) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 PI) (/ k 2))) (sqrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 495 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* PI 2) (/ k 2)))) 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (pow n (/ k 2)) (sqrt (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (pow n (/ k 2)) (sqrt (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 496 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 497 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (fabs (cbrt (sqrt k)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (fabs (cbrt (sqrt k)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 498 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 499 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt 1)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt 1)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 500 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 501 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 1) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) * * * * [misc]progress: [ 502 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 503 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (* (* (sqrt (sqrt k)) (pow n (/ k 2))) (fabs (cbrt (sqrt k))))) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (* (* (sqrt (sqrt k)) (pow n (/ k 2))) (fabs (cbrt (sqrt k))))) * * * * [misc]progress: [ 504 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 505 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (sqrt 1))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (sqrt 1))) * * * * [misc]progress: [ 506 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) * * * * [misc]progress: [ 507 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ 1 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) * * * * [misc]progress: [ 508 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ 1 2))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ 1 2))))) * * * * [misc]progress: [ 509 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (/ (pow n (/ k 2)) (pow (* 2 PI) (/ 1 2))) (fabs (cbrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (* (/ (pow n (/ k 2)) (pow (* 2 PI) (/ 1 2))) (fabs (cbrt (sqrt k))))) * * * * [misc]progress: [ 510 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (/ (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) * * * * [misc]progress: [ 511 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (/ (sqrt 1) (pow (* 2 PI) (/ 1 2)))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (/ (sqrt 1) (pow (* 2 PI) (/ 1 2)))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) * * * * [misc]progress: [ 512 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt (sqrt k))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (/ (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) * * * * [misc]progress: [ 513 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 514 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * [exit]simplify: Simplified to (/ (pow n (/ 1 2)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) * * * * [misc]progress: [ 515 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (/ (pow (* 2 PI) (/ k 2)) (pow (* 2 PI) (/ 1 2)))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (/ (pow (* 2 PI) (/ k 2)) (pow (* 2 PI) (/ 1 2)))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) * * * * [misc]progress: [ 516 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) (cbrt (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) (cbrt (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))))) * * * * [misc]progress: [ 517 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) (sqrt (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k))) (sqrt (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))))) * * * * [misc]progress: [ 518 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow (* PI 2) (/ k 2)) (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow (* PI 2) (/ k 2)) (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * * * [misc]progress: [ 519 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow (* PI 2) (/ 1 2))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow (* PI 2) (/ 1 2))) * * * * [misc]progress: [ 520 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow (* PI 2) (/ k 2)) (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow (* PI 2) (/ k 2)) (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) * * * * [misc]progress: [ 521 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (pow (* PI 2) (/ 1 2)) (* (sqrt k) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (/ (pow (* PI 2) (/ 1 2)) (* (sqrt k) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 522 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow (* PI 2) (/ k 2)) (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow (* PI 2) (/ k 2)) (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) * * * * [misc]progress: [ 523 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (pow (* PI 2) (/ 1 2)) (* (sqrt k) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (/ (pow (* PI 2) (/ 1 2)) (* (sqrt k) (pow (* PI 2) (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 524 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow (* PI 2) (/ k 2)) (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow (* PI 2) (/ k 2)) (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) * * * * [misc]progress: [ 525 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow (* PI 2) (/ 1 2))) * [exit]simplify: Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow (* PI 2) (/ 1 2))) * * * * [misc]progress: [ 526 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow (* PI 2) (/ k 2)) (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow (* PI 2) (/ k 2)) (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) * * * * [misc]progress: [ 527 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (pow (* PI 2) (/ 1 2)) (* (sqrt k) (pow (* PI 2) (/ k 2)))) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (/ (pow (* PI 2) (/ 1 2)) (* (sqrt k) (pow (* PI 2) (/ k 2)))) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 528 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow (* PI 2) (/ k 2)) (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow (* PI 2) (/ k 2)) (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) * * * * [misc]progress: [ 529 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (pow (* PI 2) (/ 1 2)) (* (sqrt k) (pow (* PI 2) (/ k 2)))) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (/ (pow (* PI 2) (/ 1 2)) (* (sqrt k) (pow (* PI 2) (/ k 2)))) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) * * * * [misc]progress: [ 530 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 531 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))) * * * * [misc]progress: [ 532 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 533 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * * * * [misc]progress: [ 534 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 535 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * * * * [misc]progress: [ 536 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 537 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))) * * * * [misc]progress: [ 538 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 539 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * * * * [misc]progress: [ 540 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 541 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * * * * [misc]progress: [ 542 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (* (pow (* PI 2) (/ k 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (* (pow (* PI 2) (/ k 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * * * * [misc]progress: [ 543 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (/ (pow n (/ k 2)) (pow (* PI 2) (/ 1 2)))) (* (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (/ (pow n (/ k 2)) (pow (* PI 2) (/ 1 2)))) (* (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) * * * * [misc]progress: [ 544 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (* (pow (* PI 2) (/ k 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (* (pow (* PI 2) (/ k 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * * * * [misc]progress: [ 545 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (pow (* PI 2) (/ k 2))) (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2)))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (pow (* PI 2) (/ k 2))) (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2)))) * * * * [misc]progress: [ 546 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (* (pow (* PI 2) (/ k 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (* (pow (* PI 2) (/ k 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * * * * [misc]progress: [ 547 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (pow (* PI 2) (/ k 2))) (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2)))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (pow (* PI 2) (/ k 2))) (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2)))) * * * * [misc]progress: [ 548 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 549 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (* (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))) * * * * [misc]progress: [ 550 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 551 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * * * * [misc]progress: [ 552 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 553 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * * * * [misc]progress: [ 554 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 555 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))) * [exit]simplify: Simplified to (/ (* (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))) * * * * [misc]progress: [ 556 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 557 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * * * * [misc]progress: [ 558 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) * * * * [misc]progress: [ 559 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))) * * * * [misc]progress: [ 560 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (* (pow (* PI 2) (/ k 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (* (pow (* PI 2) (/ k 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * * * * [misc]progress: [ 561 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (/ (pow n (/ k 2)) (pow (* PI 2) (/ 1 2)))) (* (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (/ (pow n (/ k 2)) (pow (* PI 2) (/ 1 2)))) (* (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) * * * * [misc]progress: [ 562 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (* (pow (* PI 2) (/ k 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (* (pow (* PI 2) (/ k 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * * * * [misc]progress: [ 563 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (pow (* PI 2) (/ k 2))) (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2)))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (pow (* PI 2) (/ k 2))) (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2)))) * * * * [misc]progress: [ 564 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (* (pow (* PI 2) (/ k 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (* (pow (* PI 2) (/ k 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * * * * [misc]progress: [ 565 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (pow (* PI 2) (/ k 2))) (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2)))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (pow (* PI 2) (/ k 2))) (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2)))) * * * * [misc]progress: [ 566 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * * * * [misc]progress: [ 567 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (/ (* (pow (* PI 2) (/ 1 2)) (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (* (pow (* PI 2) (/ 1 2)) (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) * * * * [misc]progress: [ 568 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * * * * [misc]progress: [ 569 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt k)) (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt k)) (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2))))) * * * * [misc]progress: [ 570 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * * * * [misc]progress: [ 571 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt k)) (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt k)) (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2))))) * * * * [misc]progress: [ 572 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * * * * [misc]progress: [ 573 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (/ (* (pow (* PI 2) (/ 1 2)) (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (* (pow (* PI 2) (/ 1 2)) (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (* (pow (* PI 2) (/ k 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) * * * * [misc]progress: [ 574 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * * * * [misc]progress: [ 575 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt k)) (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt k)) (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2))))) * * * * [misc]progress: [ 576 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))))) * * * * [misc]progress: [ 577 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt k)) (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt k)) (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2))))) * * * * [misc]progress: [ 578 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow (* PI 2) (/ 1 2)))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow (* PI 2) (/ 1 2)))) * * * * [misc]progress: [ 579 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (421 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k))))) * * * * [misc]progress: [ 580 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow (* PI 2) (/ 1 2)))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow (* PI 2) (/ 1 2)))) * * * * [misc]progress: [ 581 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 582 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow (* PI 2) (/ 1 2)))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow (* PI 2) (/ 1 2)))) * * * * [misc]progress: [ 583 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 584 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow (* PI 2) (/ 1 2)))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow (* PI 2) (/ 1 2)))) * * * * [misc]progress: [ 585 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (421 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k))))) * [exit]simplify: Simplified to (* (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (cbrt (sqrt k))))) * * * * [misc]progress: [ 586 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow (* PI 2) (/ 1 2)))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow (* PI 2) (/ 1 2)))) * * * * [misc]progress: [ 587 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 588 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow (* PI 2) (/ 1 2)))) * [exit]simplify: Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow (* PI 2) (/ 1 2)))) * * * * [misc]progress: [ 589 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 590 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 1 (pow n (/ k 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) (* (cbrt (sqrt (sqrt k))) (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) (* (cbrt (sqrt (sqrt k))) (pow n (/ k 2)))) * * * * [misc]progress: [ 591 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 1 (pow n (/ k 2))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) * [exit]simplify: Simplified to (/ (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) * * * * [misc]progress: [ 592 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 1 (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) (* (sqrt (sqrt (sqrt k))) (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) (* (sqrt (sqrt (sqrt k))) (pow n (/ k 2)))) * * * * [misc]progress: [ 593 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 1 (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (* (sqrt k) (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (* (sqrt k) (pow n (/ k 2)))) * * * * [misc]progress: [ 594 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 1 (pow n (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) (* (sqrt (sqrt (sqrt k))) (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (/ (pow (* 2 PI) (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 PI) (/ k 2))) (* (sqrt (sqrt (sqrt k))) (pow n (/ k 2)))) * * * * [misc]progress: [ 595 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 1 (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (* (sqrt k) (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (* (sqrt k) (pow n (/ k 2)))) * * * * [misc]progress: [ 596 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 597 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt k)) * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt k)) * * * * [misc]progress: [ 598 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (/ (pow (* 2 PI) (/ k 2)) (pow (* 2 PI) (/ 1 2)))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow n (/ 1 2)) (/ (pow (* 2 PI) (/ k 2)) (pow (* 2 PI) (/ 1 2)))) (* (sqrt (sqrt k)) (pow n (/ k 2)))) * * * * [misc]progress: [ 599 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (* (/ (pow n (/ k 2)) (pow n (/ 1 2))) (pow (* PI 2) (/ k 2)))) * [exit]simplify: Simplified to (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt (sqrt k))) (* (/ (pow n (/ k 2)) (pow n (/ 1 2))) (pow (* PI 2) (/ k 2)))) * * * * [misc]progress: [ 600 / 612 ] simplifiying candidate # * * * * [misc]progress: [ 601 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 602 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 603 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (* (pow (* 2 PI) (/ 1 2)) (pow n (/ 1 2))) (* (pow n (/ k 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) * * * * [misc]progress: [ 604 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (- (+ (* +nan.0 (* (sqrt PI) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt PI) (* k (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt PI) (* (log (* 2 PI)) (* k (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt PI) (/ (sqrt 2) k))) (- (+ (* +nan.0 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (* k (sqrt 2))))) (- (* +nan.0 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2)))))))))))))))) * * * * [misc]progress: [ 605 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (- (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (sqrt +nan.0))) (sqrt PI)) (+ (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow (sqrt +nan.0) 5) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow (sqrt +nan.0) 3) k))) (sqrt PI))) (- (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (sqrt PI))))))))) * * * * [misc]progress: [ 606 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k))) (- (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (sqrt +nan.0))) (sqrt PI)) (+ (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow (sqrt +nan.0) 5) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow (sqrt +nan.0) 3) k))) (sqrt PI))) (- (* +nan.0 (* (/ (sqrt 2) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (sqrt PI))))))))) * * * * [misc]progress: [ 607 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (* (sqrt n) (pow (/ 1 k) 1/4)) (* 1/8 (* (sqrt n) (* (pow (pow k 7) 1/4) (pow (log n) 2))))) (* 1/2 (* (sqrt n) (* (pow (pow k 3) 1/4) (log n))))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (* (/ (pow (* PI 2) (/ 1 2)) (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2)))) (- (fma (* (sqrt n) 1/8) (* (* (log n) (log n)) (pow (pow k 7) 1/4)) (* (pow (/ 1 k) 1/4) (sqrt n))) (* (* (log n) (pow (pow k 3) 1/4)) (* 1/2 (sqrt n))))) * * * * [misc]progress: [ 608 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt n) (* (/ 1 (exp (* -1/2 (* (log (/ 1 n)) k)))) (pow (/ 1 k) 1/4))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (/ (* (sqrt n) (pow (* PI 2) (/ 1 2))) (/ (* (sqrt (sqrt k)) (pow (* PI 2) (/ k 2))) (/ (pow (/ 1 k) 1/4) (pow (/ 1 n) (* -1/2 k))))) * * * * [misc]progress: [ 609 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (* (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (sqrt +nan.0)) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))) (+ (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (* (pow (sqrt +nan.0) 3) (* (pow k 2) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k))))))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (* (sqrt +nan.0) (* k (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k))))))) (- (* +nan.0 (/ (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (* (sqrt +nan.0) (* (pow k 2) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))))))))))) (/ (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))) (sqrt (sqrt k)))) * * * * [misc]progress: [ 610 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (* k (sqrt 2))))) (- (+ (* +nan.0 (* n (* PI (* (log (* 2 PI)) (* (log n) (* (sqrt 2) (pow k 2))))))) (- (+ (* +nan.0 (* n (* PI (* (pow (log n) 2) (* (pow k 2) (sqrt 2)))))) (- (+ (* +nan.0 (* n (* PI (* (log (* 2 PI)) (* k (sqrt 2)))))) (- (+ (* +nan.0 (* n (* PI (* (pow (log (* 2 PI)) 2) (* (pow k 2) (sqrt 2)))))) (- (+ (* +nan.0 (* (pow n 3) (* (pow PI 3) (* (pow k 2) (sqrt 2))))) (- (+ (* +nan.0 (* n (* PI (* k (* (log n) (sqrt 2)))))) (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2)))))) (- (+ (* +nan.0 (* (pow n 2) (* (pow PI 2) (* (log n) (* (pow k 2) (sqrt 2)))))) (- (* +nan.0 (* n (* PI (sqrt 2))))))))))))))))))))))) * * * * [misc]progress: [ 611 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (pow n 3) (* (pow PI 3) (sqrt 2))) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow k 3) (exp (* -1/2 (* (log (/ 1 n)) k))))))) (- (+ (* +nan.0 (/ (* (pow n 2) (* (pow PI 2) (sqrt 2))) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow k 2) (exp (* -1/2 (* (log (/ 1 n)) k))))))) (- (* +nan.0 (/ (* n (* PI (sqrt 2))) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* k (exp (* -1/2 (* (log (/ 1 n)) k)))))))))))) * * * * [misc]progress: [ 612 / 612 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (sqrt 2)) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* (pow k 2) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))))) (sqrt PI))) (- (+ (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (sqrt 2)) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (* k (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))))) (sqrt PI))) (- (* +nan.0 (* (/ (* (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (sqrt 2)) (* (exp (* 1/2 (* (log (* 2 PI)) k))) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k))))) (sqrt PI)))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (pow (* n (* PI 2)) (/ 1 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (* (* 2 PI) n) (/ 1 2)) * [exit]simplify: Simplified to (pow (* (* 2 PI) n) (/ 1 2)) * [enter]simplify: Simplifying (pow (* n (* PI 2)) (/ k 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (* (* 2 PI) n) (/ k 2)) * [exit]simplify: Simplified to (pow (* (* 2 PI) n) (/ k 2)) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6487 additional inputs, on iter 1 have 1513 / 8000 * * * * [misc]points: Computing exacts on every 405 of 6487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 202 of 6487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 101 of 6487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 50 of 6487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 25 of 6487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 12 of 6487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 6 of 6487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 6487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 6487 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5277 additional inputs, on iter 2 have 2723 / 8000 * * * * [misc]points: Computing exacts on every 329 of 5277 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 164 of 5277 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 82 of 5277 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 41 of 5277 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 20 of 5277 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 10 of 5277 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 5277 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 5277 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 5277 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4347 additional inputs, on iter 3 have 3653 / 8000 * * * * [misc]points: Computing exacts on every 271 of 4347 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 135 of 4347 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 67 of 4347 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 33 of 4347 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 16 of 4347 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 4347 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 4347 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 4347 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 4347 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3541 additional inputs, on iter 4 have 4459 / 8000 * * * * [misc]points: Computing exacts on every 221 of 3541 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 110 of 3541 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 55 of 3541 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 27 of 3541 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 13 of 3541 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 6 of 3541 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 3541 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 3541 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2892 additional inputs, on iter 5 have 5108 / 8000 * * * * [misc]points: Computing exacts on every 180 of 2892 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 90 of 2892 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 45 of 2892 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 22 of 2892 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 11 of 2892 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 2892 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 2892 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 2892 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2381 additional inputs, on iter 6 have 5619 / 8000 * * * * [misc]points: Computing exacts on every 148 of 2381 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 74 of 2381 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 37 of 2381 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 18 of 2381 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 9 of 2381 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 2381 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 2381 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 2381 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1925 additional inputs, on iter 7 have 6075 / 8000 * * * * [misc]points: Computing exacts on every 120 of 1925 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 60 of 1925 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 30 of 1925 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 1925 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 1925 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 1925 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1925 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1534 additional inputs, on iter 8 have 6466 / 8000 * * * * [misc]points: Computing exacts on every 95 of 1534 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 47 of 1534 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 23 of 1534 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 11 of 1534 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 1534 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 1534 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1534 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1265 additional inputs, on iter 9 have 6735 / 8000 * * * * [misc]points: Computing exacts on every 79 of 1265 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 39 of 1265 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 19 of 1265 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 9 of 1265 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 1265 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 1265 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1265 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1038 additional inputs, on iter 10 have 6962 / 8000 * * * * [misc]points: Computing exacts on every 64 of 1038 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 32 of 1038 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 16 of 1038 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 1038 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 1038 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 1038 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1038 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 856 additional inputs, on iter 11 have 7144 / 8000 * * * * [misc]points: Computing exacts on every 53 of 856 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 26 of 856 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 13 of 856 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 6 of 856 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 856 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 856 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 701 additional inputs, on iter 12 have 7299 / 8000 * * * * [misc]points: Computing exacts on every 43 of 701 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 21 of 701 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 10 of 701 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 701 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 701 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 701 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 553 additional inputs, on iter 13 have 7447 / 8000 * * * * [misc]points: Computing exacts on every 34 of 553 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 17 of 553 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 553 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 553 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 553 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 553 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 448 additional inputs, on iter 14 have 7552 / 8000 * * * * [misc]points: Computing exacts on every 28 of 448 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 14 of 448 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 448 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 448 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 448 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 364 additional inputs, on iter 15 have 7636 / 8000 * * * * [misc]points: Computing exacts on every 22 of 364 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 11 of 364 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 364 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 364 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 364 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 297 additional inputs, on iter 16 have 7703 / 8000 * * * * [misc]points: Computing exacts on every 18 of 297 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 9 of 297 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 297 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 297 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 297 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 250 additional inputs, on iter 17 have 7750 / 8000 * * * * [misc]points: Computing exacts on every 15 of 250 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 250 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 250 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 250 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 207 additional inputs, on iter 18 have 7793 / 8000 * * * * [misc]points: Computing exacts on every 12 of 207 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 6 of 207 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 207 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 207 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 167 additional inputs, on iter 19 have 7833 / 8000 * * * * [misc]points: Computing exacts on every 10 of 167 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 167 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 167 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 167 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 131 additional inputs, on iter 20 have 7869 / 8000 * * * * [misc]points: Computing exacts on every 8 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 131 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 109 additional inputs, on iter 21 have 7891 / 8000 * * * * [misc]points: Computing exacts on every 6 of 109 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 109 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 109 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 83 additional inputs, on iter 22 have 7917 / 8000 * * * * [misc]points: Computing exacts on every 5 of 83 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 83 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 83 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 67 additional inputs, on iter 23 have 7933 / 8000 * * * * [misc]points: Computing exacts on every 4 of 67 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 67 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 67 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 52 additional inputs, on iter 24 have 7948 / 8000 * * * * [misc]points: Computing exacts on every 3 of 52 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 52 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 37 additional inputs, on iter 25 have 7963 / 8000 * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 37 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 27 additional inputs, on iter 26 have 7973 / 8000 * * * * [misc]points: Computing exacts for 27 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 20 additional inputs, on iter 27 have 7980 / 8000 * * * * [misc]points: Computing exacts for 20 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 28 have 7984 / 8000 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 29 have 7987 / 8000 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 30 have 7989 / 8000 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 31 have 7992 / 8000 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 32 have 7995 / 8000 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 33 have 7996 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 34 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 35 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs