* [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: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 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 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 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 160 additional inputs, on iter 1 have 96 / 256 * * * * [misc]points: Computing exacts on every 10 of 160 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 160 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 160 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 160 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 96 additional inputs, on iter 2 have 160 / 256 * * * * [misc]points: Computing exacts on every 6 of 96 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 96 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 96 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 3 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 40 additional inputs, on iter 4 have 216 / 256 * * * * [misc]points: Computing exacts on every 2 of 40 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 40 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 29 additional inputs, on iter 5 have 227 / 256 * * * * [misc]points: Computing exacts for 29 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 6 have 236 / 256 * * * * [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 11 additional inputs, on iter 7 have 245 / 256 * * * * [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 8 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 6 additional inputs, on iter 9 have 250 / 256 * * * * [misc]points: Computing exacts for 6 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 10 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 11 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 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * * [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) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) 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 (log (+ x 1)) in n * [misc]taylor: Taking taylor expansion of (+ x 1) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 1) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ x 1))) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (+ x 1)))) into (exp (/ (log (+ x 1)) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (- (exp (/ (log x) n))) into (- (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (log x) n)))) into (- 1 (exp (/ (log x) n))) * [misc]taylor: Taking taylor expansion of (- 1 (exp (/ (log x) n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (- (exp (/ (log x) n))) into (- (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (log x) n)))) into (- 1 (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (- 1 (exp (/ (log x) n))) into (- 1 (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) -1/2) (+ (* 0 1) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) 0) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) 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 (+ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 0) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) 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 (- 1 (exp (/ (log x) n))) into (- 1 (exp (/ (log x) n))) * [misc]approximate: Taking taylor expansion of (- (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 x) 1) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ (/ 1 x) 1))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (- (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (- (exp (* -1 (* n (log x))))) into (- (exp (* -1 (* n (log x))))) * [misc]backup-simplify: Simplify (+ (exp (* -1 (* n (log x)))) (- (exp (* -1 (* n (log x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) 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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* n (log x)))) n) 0) into (* (exp (* -1 (* n (log x)))) n) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) 0) into (- (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) 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 (* (exp (* -1 (* n (log x)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 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 (* 1/2 (* (exp (* -1 (* n (log x)))) 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 (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 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 (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (log x)))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (- (* 1/2 n)) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (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 (+ (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) 0) into (- (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1/3 (* (exp (* -1 (* n (log x)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) 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 (* (exp (* -1 (* n (log x)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (* -1 (log x)) 1) (* (* 1/2 (pow (log x) 2)) 0))) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- (log (/ 1 x))) (* (pow (/ 1 n) 2) (/ 1 x))) (+ (* -1/2 (* (/ 1 n) (pow (/ 1 x) 2))) (* 1 (* (/ 1 n) (/ 1 x))))) into (- (/ 1 (* x n)) (+ (/ (log (/ 1 x)) (* x (pow n 2))) (* 1/2 (/ 1 (* (pow x 2) n))))) * [misc]approximate: Taking taylor expansion of (- (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ -1 x) 1) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 x)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (- (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (- (exp (* -1 (* (- (log -1) (log x)) n)))) into (- (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (+ (exp (* -1 (* (- (log -1) (log x)) n))) (- (exp (* -1 (* (- (log -1) (log x)) n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* n (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) 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 (/ 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) 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 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) 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 (* n (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x)))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (* 1/2 n) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) 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 (- 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 (/ (+ (* 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) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) 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 (+ (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) 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 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x)))) (+ (* 1 (- (log x) (log -1))) (* 0 1))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* (- (log (/ 1 (- x))) (log -1)) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) (+ (* 1/2 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (* 1 (* (/ 1 (- n)) (/ 1 (- x)))))) into (- (+ (/ (log -1) (* x (pow n 2))) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) (* x (pow n 2))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) 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 (log (+ x 1)) in n * [misc]taylor: Taking taylor expansion of (+ x 1) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 1) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ x 1))) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (+ x 1)))) into (exp (/ (log (+ x 1)) n)) * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) -1/2) (+ (* 0 1) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) 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 1 into 1 * [misc]approximate: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 x) 1) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ (/ 1 x) 1))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow n 2)) (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) 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 (pow n 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 (* 1/2 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 n) (/ 1 x))) (+ (* (* -1 (log (/ 1 x))) (* (/ 1 n) 1)) 1)) into (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ -1 x) 1) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 x)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -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)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 n) (* 1/2 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) 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 (pow n 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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)) 1)) into (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (pow x (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (/ (+ (* 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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) 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 n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]approximate: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (* 1/2 (pow (log x) 2)) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (pow (log (/ 1 x)) 2)) (pow (* (/ 1 n) 1) 2)) (+ (* (* -1 (log (/ 1 x))) (* (/ 1 n) 1)) 1)) into (- (+ (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) 1) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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)))) 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -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)))) 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (pow (log (/ 1 (- x))) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log (/ 1 (- x))))) (pow (* (/ 1 (- n)) 1) 2)) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)) 1)) into (- (+ (/ (log -1) n) (+ (* 1/2 (/ (pow (log -1) 2) (pow n 2))) (+ (* 1/2 (/ (pow (log (/ -1 x)) 2) (pow n 2))) 1))) (+ (/ (log (/ -1 x)) n) (/ (* (log (/ -1 x)) (log -1)) (pow n 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (pow (+ x 1) (/ 1 n))) (exp (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (log (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))) * * * * [misc]progress: [ 2 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (pow (sqrt (+ 1 x)) (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (* (+ (sqrt (pow x (/ 1 n))) (pow (sqrt (+ 1 x)) (/ 1 n))) (- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n)))))) * [enter]simplify: Simplifying (- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (pow (sqrt (+ 1 x)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* (+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) (- (pow (sqrt (+ 1 x)) (/ 1 n)) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 13 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (sqrt (pow (+ 1 x) (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (* (+ (sqrt (pow x (/ 1 n))) (sqrt (pow (+ 1 x) (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * [enter]simplify: Simplifying (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 14 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* 1 (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))))) * * * * [misc]progress: [ 15 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ x 1)) (/ 1 n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (log (+ 1 x)) n) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 17 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (pow (+ 1 x) (* 1 (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 19 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 n)) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (- (pow (pow (+ x 1) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 20 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 n)) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (- (pow (pow (+ x 1) (sqrt (/ 1 n))) (sqrt (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 21 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (- (pow (pow (+ x 1) 1) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 22 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (- (pow (pow (+ x 1) 1) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 23 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (* (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 24 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ x 1)) (/ 1 n)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ 1 x)) (/ 1 n)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (* (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 25 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (* 1 (pow (+ x 1) (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 26 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 n)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (pow (+ x 1) (/ 1 n)) (pow (pow x (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n))))) * * * * [misc]progress: [ 35 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 n)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (pow (+ x 1) (/ 1 n)) (pow (pow x (sqrt (/ 1 n))) (sqrt (/ 1 n))))) * * * * [misc]progress: [ 36 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (pow (+ x 1) (/ 1 n)) (pow (pow x 1) (/ 1 n)))) * * * * [misc]progress: [ 37 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (pow (+ x 1) (/ 1 n)) (pow (pow x 1) (/ 1 n)))) * * * * [misc]progress: [ 38 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (exp (/ (log x) n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (- 1 (exp (/ (log x) n))) * [misc]simplify: Simplified (2) to (λ (x n) (- 1 (exp (/ (log x) n)))) * * * * [misc]progress: [ 46 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (+ (/ (log (/ 1 x)) (* x (pow n 2))) (* 1/2 (/ 1 (* (pow x 2) n))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: iters left: 1 (354 enodes) * [exit]simplify: Simplified to (+ (/ (log x) (* n (* n x))) (+ (/ (/ -1/2 x) (* n x)) (/ 1 (* n x)))) * [misc]simplify: Simplified (2) to (λ (x n) (+ (/ (log x) (* n (* n x))) (+ (/ (/ -1/2 x) (* n x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 47 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) (* x (pow n 2))) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) (* x (pow n 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (- (+ (/ 1 (* x n)) 0) (+ (/ (- (log x)) (* n (* x n))) (/ (/ 1/2 x) (* x n)))) * [misc]simplify: Simplified (2) to (λ (x n) (- (+ (/ 1 (* x n)) 0) (+ (/ (- (log x)) (* n (* x n))) (/ (/ 1/2 x) (* x n))))) * * * * [misc]progress: [ 48 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x n) (- 1 (pow x (/ 1 n)))) * * * * [misc]progress: [ 49 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (+ (/ (log x) n) (/ 1 (* n x))) 1) * [misc]simplify: Simplified (2 1) to (λ (x n) (- (+ (+ (/ (log x) n) (/ 1 (* n x))) 1) (pow x (/ 1 n)))) * * * * [misc]progress: [ 50 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (- (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 51 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (log x) n)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (/ (log x) n)) * [misc]simplify: Simplified (2 2) to (λ (x n) (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n)))) * * * * [misc]progress: [ 52 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) 1) (/ (log (/ 1 x)) n)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (+ (+ 1 (/ (log x) n)) (* (/ (log x) n) (/ (log x) (/ n 1/2)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (- (pow (+ x 1) (/ 1 n)) (+ (+ 1 (/ (log x) n)) (* (/ (log x) n) (/ (log x) (/ n 1/2)))))) * * * * [misc]progress: [ 53 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (+ (* 1/2 (/ (pow (log -1) 2) (pow n 2))) (+ (* 1/2 (/ (pow (log (/ -1 x)) 2) (pow n 2))) 1))) (+ (/ (log (/ -1 x)) n) (/ (* (log (/ -1 x)) (log -1)) (pow n 2)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (* (log -1) 1/2) (/ (* n n) (log -1))) (+ 1 (/ (log -1) n))) (/ (* 1/2 (log (/ -1 x))) (/ (* n n) (log (/ -1 x))))) (* (+ 1 (/ (log -1) n)) (/ (log (/ -1 x)) n))) * [misc]simplify: Simplified (2 2) to (λ (x n) (- (pow (+ x 1) (/ 1 n)) (- (+ (+ (/ (* (log -1) 1/2) (/ (* n n) (log -1))) (+ 1 (/ (log -1) n))) (/ (* 1/2 (log (/ -1 x))) (/ (* n n) (log (/ -1 x))))) (* (+ 1 (/ (log -1) n)) (/ (log (/ -1 x)) n))))) * * * [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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ x 1) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) 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 (log (+ x 1)) in n * [misc]taylor: Taking taylor expansion of (+ x 1) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 1) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ x 1))) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (+ x 1)))) into (exp (/ (log (+ x 1)) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log (+ x 1)) n))) into (sqrt (exp (/ (log (+ x 1)) n))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log (+ x 1)) n))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (pow x (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ x 1) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 1))) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (sqrt (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ x 1) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 1))) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (sqrt (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ (log x) n)))) into (- (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (+ 1 (- (sqrt (exp (/ (log x) n))))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]taylor: Taking taylor expansion of (- 1 (sqrt (exp (/ (log x) n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ (log x) n))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ (log x) n)))) into (- (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (+ 1 (- (sqrt (exp (/ (log x) n))))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (- 1 (sqrt (exp (/ (log x) n)))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) -1/2) (+ (* 0 1) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (pow (/ 1/2 n) 2) (+)) (* 2 1)) into (* 1/2 (- (* 1/4 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/4 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) 0) into (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ (log x) n))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (- (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (+ (* 2 (* (/ 1/2 n) (* 1/2 (- (* 1/4 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))) (* 2 1)) into (* 1/2 (- (+ (* 1/24 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/4 (/ 1 (pow n 2))))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) 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 (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* 1/24 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/4 (/ 1 (pow n 2))))) 0) into (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/48 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/48 in n * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [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 (* 1/8 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) 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 (- 1 (sqrt (exp (/ (log x) n)))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]approximate: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 x) 1) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ (/ 1 x) 1))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (log (+ (/ 1 x) 1)) 1) 1)))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (/ (log (+ (/ 1 x) 1)) (* 2 (sqrt 1))) into (* 1/2 (log (+ (/ 1 x) 1))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 x) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (log (/ 1 x)) 1) 1)))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (/ (log (/ 1 x)) (* 2 (sqrt 1))) into (* 1/2 (log (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]backup-simplify: Simplify (/ (* (exp (* -1 (* n (log x)))) n) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]backup-simplify: Simplify (/ (* (exp (* -1 (* n (log x)))) n) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (* -1 (* n (log x)))))) into (- (sqrt (exp (* -1 (* n (log x)))))) * [misc]backup-simplify: Simplify (+ (sqrt (exp (* -1 (* n (log x))))) (- (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) 0) into (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) 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 (* (sqrt (exp (* -1 (* n (log x))))) n) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]backup-simplify: Simplify (/ (- (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) (pow (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) 2) (+)) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (sqrt (/ 1 (exp (* -1 (* n (log x)))))) (- (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sqrt (/ 1 (exp (* -1 (* n (log x)))))) (- (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))))) 0) into (- (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) (* 1/4 (* (sqrt (exp (* -1 (* n (log x))))) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) (* 1/4 (* (sqrt (exp (* -1 (* n (log x))))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [misc]taylor: Taking taylor expansion of (pow n 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 (* 1/4 (* (sqrt (exp (* -1 (* n (log x))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) n) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 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 (+ (* 1 1) (* (* -1/2 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (log x)))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (- (* 1/2 n)) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (- (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) (+ (* 2 (* (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/2 (* (sqrt (/ 1 (exp (* -1 (* n (log x)))))) (- (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))))))))) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (- (+ (* 1/24 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2)))) (sqrt (/ 1 (exp (* -1 (* n (log x)))))))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (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 (exp (* -1 (* n (log x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (- (+ (* 1/24 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2)))) (sqrt (/ 1 (exp (* -1 (* n (log x)))))))) 0) into (- (+ (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)))) (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)))) (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) n) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [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 (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/48 in n * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1/2 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow (log x) 2)) (pow (* -1/2 (log x)) 2) (+)) (* 2 1)) into (* 1/8 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (* -1/2 (log x)) 1) (* (* 1/8 (pow (log x) 2)) 0))) into (- (* 1/2 (log x))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/2 (log x)))) (+ (* 0 1) (* 0 0))) into (- (* 1/4 (log x))) * [misc]backup-simplify: Simplify (- (* 1/4 (log x))) into (- (* 1/4 (log x))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (log (/ 1 x)))) (* (pow (/ 1 n) 2) (/ 1 x))) (+ (* -1/4 (* (/ 1 n) (pow (/ 1 x) 2))) (* 1/2 (* (/ 1 n) (/ 1 x))))) into (- (* 1/2 (/ 1 (* x n))) (+ (* 1/4 (/ (log (/ 1 x)) (* x (pow n 2)))) (* 1/4 (/ 1 (* (pow x 2) n))))) * [misc]approximate: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ -1 x) 1) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 x)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1 (log (- 1 (/ 1 x)))) 1) 1)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (* -1 (log (- 1 (/ 1 x)))) (* 2 (sqrt 1))) into (* -1/2 (log (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1 (log (/ -1 x))) 1) 1)))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (/ (* -1 (log (/ -1 x))) (* 2 (sqrt 1))) into (* -1/2 (log (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (* n (exp (* -1 (* (- (log -1) (log x)) n)))) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (* n (exp (* -1 (* (- (log -1) (log x)) n)))) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) into (- (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) * [misc]backup-simplify: Simplify (+ (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) (- (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) 0) into (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/2 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (- (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) (pow (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) 2) (+)) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) 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 (/ 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) n))))))) 0) into (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/4 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/4 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of (pow n 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 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]taylor: Taking taylor expansion of (* 1/4 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (- (log x) (log -1)))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x)))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (* 1/2 n) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (- (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) (+ (* 2 (* (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) n))))))))))) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/24 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) 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 (- 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 (/ (+ (* 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) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) 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 (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/24 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) n))))))) 0) into (+ (* 1/48 (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/48 (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/48 (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/48 in n * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of (pow n 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 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (- (log x) (log -1)))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify 1/4 into 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 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (/ (- (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) (pow (* 1/2 (- (log x) (log -1))) 2) (+)) (* 2 1)) into (* 1/2 (- (+ (* 1/4 (pow (log x) 2)) (* 1/4 (pow (log -1) 2))) (* 1/2 (* (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (- (+ (* 1/4 (pow (log x) 2)) (* 1/4 (pow (log -1) 2))) (* 1/2 (* (log -1) (log x)))))) (+ (* 1 (* 1/2 (- (log x) (log -1)))) (* 0 1))) into (- (* 1/2 (log x)) (* 1/2 (log -1))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/2 (log x)) (* 1/2 (log -1)))) (+ (* 0 1) (* 0 0))) into (- (* 1/4 (log x)) (* 1/4 (log -1))) * [misc]backup-simplify: Simplify (- (* 1/4 (log x)) (* 1/4 (log -1))) into (- (* 1/4 (log x)) (* 1/4 (log -1))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (log (/ 1 (- x)))) (* 1/4 (log -1))) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) (+ (* 1/4 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (* 1/2 (* (/ 1 (- n)) (/ 1 (- x)))))) into (- (+ (* 1/4 (/ (log -1) (* x (pow n 2)))) (* 1/2 (/ 1 (* x n)))) (+ (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/4 (/ (log (/ -1 x)) (* x (pow n 2)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) 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 (log (+ x 1)) in n * [misc]taylor: Taking taylor expansion of (+ x 1) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 1) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ x 1))) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (+ x 1)))) into (exp (/ (log (+ x 1)) n)) * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) -1/2) (+ (* 0 1) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) 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 1 into 1 * [misc]approximate: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 x) 1) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ (/ 1 x) 1))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow n 2)) (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) 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 (pow n 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 (* 1/2 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 n) (/ 1 x))) (+ (* (* -1 (log (/ 1 x))) (* (/ 1 n) 1)) 1)) into (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ -1 x) 1) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 x)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -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)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 n) (* 1/2 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) 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 (pow n 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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)) 1)) into (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) 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 (log (+ x 1)) in n * [misc]taylor: Taking taylor expansion of (+ x 1) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 1) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ x 1))) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (+ x 1)))) into (exp (/ (log (+ x 1)) n)) * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) -1/2) (+ (* 0 1) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) 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 1 into 1 * [misc]approximate: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 x) 1) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ (/ 1 x) 1))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow n 2)) (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) 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 (pow n 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 (* 1/2 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 n) (/ 1 x))) (+ (* (* -1 (log (/ 1 x))) (* (/ 1 n) 1)) 1)) into (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ -1 x) 1) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 x)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -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)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 n) (* 1/2 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) 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 (pow n 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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)) 1)) into (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (pow x (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (/ (+ (* 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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) 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 n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]approximate: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (* 1/2 (pow (log x) 2)) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (pow (log (/ 1 x)) 2)) (pow (* (/ 1 n) 1) 2)) (+ (* (* -1 (log (/ 1 x))) (* (/ 1 n) 1)) 1)) into (- (+ (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) 1) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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)))) 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -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)))) 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (pow (log (/ 1 (- x))) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log (/ 1 (- x))))) (pow (* (/ 1 (- n)) 1) 2)) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)) 1)) into (- (+ (/ (log -1) n) (+ (* 1/2 (/ (pow (log -1) 2) (pow n 2))) (+ (* 1/2 (/ (pow (log (/ -1 x)) 2) (pow n 2))) 1))) (+ (/ (log (/ -1 x)) n) (/ (* (log (/ -1 x)) (log -1)) (pow n 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sqrt (pow (+ x 1) (/ 1 n)))) (exp (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (log (exp (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 2 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 13 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 14 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 15 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 16 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 17 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 18 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* 1 (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* 1 (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * * * * [misc]progress: [ 19 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* 1 (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * * * * [misc]progress: [ 20 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ x 1)) (/ 1 n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (log (+ 1 x)) n) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (exp (/ (log (+ 1 x)) n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 22 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ 1 x) (* 1 (/ 1 n)))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 24 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 n)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (pow (+ x 1) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n)))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 25 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 n)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (pow (+ x 1) (sqrt (/ 1 n))) (sqrt (/ 1 n)))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 26 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (pow (+ x 1) 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 27 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (pow (+ x 1) 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 28 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (* (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 29 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ x 1)) (/ 1 n)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ 1 x)) (/ 1 n)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (* (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 30 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (* 1 (pow (+ x 1) (/ 1 n)))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 31 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ x 1)) (/ 1 n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (log (+ 1 x)) n) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x n) (* (+ (sqrt (exp (/ (log (+ 1 x)) n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 39 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ 1 x) (* 1 (/ 1 n)))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 41 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (pow (+ x 1) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n)))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 42 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (pow (+ x 1) (sqrt (/ 1 n))) (sqrt (/ 1 n)))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 43 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (pow (+ x 1) 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 44 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (pow (+ x 1) 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 45 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x n) (* (+ (sqrt (* (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 46 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ x 1)) (/ 1 n)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ 1 x)) (/ 1 n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x n) (* (+ (sqrt (* (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 47 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x n) (* (+ (sqrt (* 1 (pow (+ x 1) (/ 1 n)))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 48 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 n)) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (pow x (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n))))))) * * * * [misc]progress: [ 57 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 n)) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (pow x (sqrt (/ 1 n))) (sqrt (/ 1 n))))))) * * * * [misc]progress: [ 58 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (pow x 1) (/ 1 n)))))) * * * * [misc]progress: [ 59 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (pow x 1) (/ 1 n)))))) * * * * [misc]progress: [ 60 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (sqrt (exp (/ (log x) n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- 1 (sqrt (exp (/ (log x) n)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- 1 (sqrt (exp (/ (log x) n)))))) * * * * [misc]progress: [ 68 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* x n))) (+ (* 1/4 (/ (log (/ 1 x)) (* x (pow n 2)))) (* 1/4 (/ 1 (* (pow x 2) n))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 69 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (/ (log -1) (* x (pow n 2)))) (* 1/2 (/ 1 (* x n)))) (+ (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/4 (/ (log (/ -1 x)) (* x (pow n 2)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (- (* (/ (/ 1/4 n) (* x n)) (- (log -1) (log (/ -1 x)))) (- (/ (/ 1/4 x) (* x n)) (/ (/ 1/2 x) n))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (/ 1/4 n) (* x n)) (- (log -1) (log (/ -1 x)))) (- (/ (/ 1/4 x) (* x n)) (/ (/ 1/2 x) n))))) * * * * [misc]progress: [ 70 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt 1) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 71 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (+ (/ (log x) n) (/ 1 (* n x))) 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (+ (+ (/ (log x) n) (/ 1 (* n x))) 1)) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 72 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n)))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 73 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (* (+ (sqrt 1) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 74 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (+ (/ (log x) n) (/ 1 (* n x))) 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (* (+ (sqrt (+ (+ (/ (log x) n) (/ 1 (* n x))) 1)) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 75 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (* (+ (sqrt (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n)))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 76 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (log x) n)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (/ (log x) n)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (exp (/ (log x) n)))))) * * * * [misc]progress: [ 77 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) 1) (/ (log (/ 1 x)) n)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (+ (+ 1 (/ (log x) n)) (* (/ (log x) n) (/ (log x) (/ n 1/2)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (+ (+ 1 (/ (log x) n)) (* (/ (log x) n) (/ (log x) (/ n 1/2)))))))) * * * * [misc]progress: [ 78 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (+ (* 1/2 (/ (pow (log -1) 2) (pow n 2))) (+ (* 1/2 (/ (pow (log (/ -1 x)) 2) (pow n 2))) 1))) (+ (/ (log (/ -1 x)) n) (/ (* (log (/ -1 x)) (log -1)) (pow n 2)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (* (log -1) 1/2) (/ (* n n) (log -1))) (+ 1 (/ (log -1) n))) (/ (* 1/2 (log (/ -1 x))) (/ (* n n) (log (/ -1 x))))) (* (+ 1 (/ (log -1) n)) (/ (log (/ -1 x)) n))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (- (+ (+ (/ (* (log -1) 1/2) (/ (* n n) (log -1))) (+ 1 (/ (log -1) n))) (/ (* 1/2 (log (/ -1 x))) (/ (* n n) (log (/ -1 x))))) (* (+ 1 (/ (log -1) n)) (/ (log (/ -1 x)) n))))))) * * * [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 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) 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 (log (+ x 1)) in n * [misc]taylor: Taking taylor expansion of (+ x 1) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 1) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ x 1))) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (+ x 1)))) into (exp (/ (log (+ x 1)) n)) * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) -1/2) (+ (* 0 1) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) 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 1 into 1 * [misc]approximate: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 x) 1) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ (/ 1 x) 1))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow n 2)) (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) 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 (pow n 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 (* 1/2 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 n) (/ 1 x))) (+ (* (* -1 (log (/ 1 x))) (* (/ 1 n) 1)) 1)) into (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ -1 x) 1) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 x)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -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)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 n) (* 1/2 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) 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 (pow n 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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)) 1)) into (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (pow x (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (/ (+ (* 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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) 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 n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]approximate: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (* 1/2 (pow (log x) 2)) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (pow (log (/ 1 x)) 2)) (pow (* (/ 1 n) 1) 2)) (+ (* (* -1 (log (/ 1 x))) (* (/ 1 n) 1)) 1)) into (- (+ (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) 1) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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)))) 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -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)))) 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (pow (log (/ 1 (- x))) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log (/ 1 (- x))))) (pow (* (/ 1 (- n)) 1) 2)) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)) 1)) into (- (+ (/ (log -1) n) (+ (* 1/2 (/ (pow (log -1) 2) (pow n 2))) (+ (* 1/2 (/ (pow (log (/ -1 x)) 2) (pow n 2))) 1))) (+ (/ (log (/ -1 x)) n) (/ (* (log (/ -1 x)) (log -1)) (pow n 2)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 x) (* x n)) in n * [misc]taylor: Taking taylor expansion of (/ 1/4 x) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1/4 x) into (/ 1/4 x) * [misc]taylor: Taking taylor expansion of (* x n) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [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 (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ (/ 1/4 x) x) into (/ 1/4 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* x 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 (* x n) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [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 (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1/2 x) into (/ 1/2 x) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 x) (* x n)) in x * [misc]taylor: Taking taylor expansion of (/ 1/4 x) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/4 1) into 1/4 * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1/4 n) into (/ 1/4 n) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* x n)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 x) (* x n)) in x * [misc]taylor: Taking taylor expansion of (/ 1/4 x) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/4 1) into 1/4 * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1/4 n) into (/ 1/4 n) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* x n)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]backup-simplify: Simplify (+ (/ 1/4 n) 0) into (* 1/4 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [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 (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/4 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 n)) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 n)))) into (- (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/4 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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 (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/4 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (/ 1 n) (/ 1 x))) (* 1/4 (* (/ 1 n) (pow x -2)))) into (- (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/2 (/ 1 (* x n)))) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/2 (* (/ 1 x) (/ 1 n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/2 (* (/ 1 x) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1/4 (/ 1 x)) into (* 1/4 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [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 (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (* 1/4 x) (/ 1 x)) into (* 1/4 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (/ 1 x) (/ 1 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 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [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 (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 x)) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/2 (* (/ 1 x) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1/4 1) into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/4 (/ 1 n)) into (* 1/4 n) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/2 (* (/ 1 x) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1/4 1) into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/4 (/ 1 n)) into (* 1/4 n) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (- (* 1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 n))) into (- (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 n) 0) into (* 1/4 n) * [misc]taylor: Taking taylor expansion of (* 1/4 n) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [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 (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [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 1) (+ (* 1/4 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/4 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/4 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) 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 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1/4 (* (/ 1 n) (pow (/ 1 x) 2))) (* -1/2 (* (/ 1 n) (/ 1 x)))) into (- (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/2 (/ 1 (* x n)))) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ 1/4 (/ -1 x)) into (* -1/4 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [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 (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (* -1/4 x) (/ 1 x)) into (* -1/4 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (/ 1 (- x)) (/ 1 (- 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 (- x)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [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 (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 x)) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1/4 -1) into -1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ -1/4 (/ 1 n)) into (* -1/4 n) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1/4 -1) into -1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ -1/4 (/ 1 n)) into (* -1/4 n) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (- (* 1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 n))) into (- (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) 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 (/ -1 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/4 n) 0) into (- (* 1/4 n)) * [misc]taylor: Taking taylor expansion of (- (* 1/4 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/4 n) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [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 (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/4 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) 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 (/ -1 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* -1/4 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) 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 (/ -1 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (- 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 -1) (+ (* -1/4 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) 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 (/ -1 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* -1/4 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) 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 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* -1/4 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (* -1/2 (* (/ 1 (- n)) (/ 1 (- x))))) into (- (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/2 (/ 1 (* x n)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (log x) (* x n)) (/ 1/4 n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) (* x n)) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of (* x n) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [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 (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ (log x) x) into (/ (log x) x) * [misc]taylor: Taking taylor expansion of (/ 1/4 n) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [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 (/ 1/4 1) into 1/4 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 x) (* x n)) in n * [misc]taylor: Taking taylor expansion of (/ 1/4 x) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1/4 x) into (/ 1/4 x) * [misc]taylor: Taking taylor expansion of (* x n) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [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 (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ (/ 1/4 x) x) into (/ 1/4 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* x 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 (* x n) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [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 (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1/2 x) into (/ 1/2 x) * [misc]taylor: Taking taylor expansion of (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) in x * [misc]taylor: Taking taylor expansion of (* (/ (log x) (* x n)) (/ 1/4 n)) in x * [misc]taylor: Taking taylor expansion of (/ (log x) (* x n)) in x * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (/ (log x) n) into (/ (log x) n) * [misc]taylor: Taking taylor expansion of (/ 1/4 n) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/4 n) into (/ 1/4 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 x) (* x n)) in x * [misc]taylor: Taking taylor expansion of (/ 1/4 x) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/4 1) into 1/4 * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1/4 n) into (/ 1/4 n) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* x n)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) in x * [misc]taylor: Taking taylor expansion of (* (/ (log x) (* x n)) (/ 1/4 n)) in x * [misc]taylor: Taking taylor expansion of (/ (log x) (* x n)) in x * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (/ (log x) n) into (/ (log x) n) * [misc]taylor: Taking taylor expansion of (/ 1/4 n) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/4 n) into (/ 1/4 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 x) (* x n)) in x * [misc]taylor: Taking taylor expansion of (/ 1/4 x) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/4 1) into 1/4 * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1/4 n) into (/ 1/4 n) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* x n)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]backup-simplify: Simplify (+ (/ 1/4 n) 0) into (* 1/4 (/ 1 n)) * [misc]backup-simplify: Simplify (- (* 1/4 (/ 1 n))) into (- (* 1/4 (/ 1 n))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/4 (/ 1 n)))) into (- (* 1/4 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [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 x) n) (/ 1/4 n)) into (* 1/4 (/ (log x) (pow n 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/4 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 n)) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 n)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (- (* 1/2 (/ 1 n)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (log x) (pow n 2))) (* 1/2 (/ 1 n))) into (+ (* 1/4 (/ (log x) (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (log x) (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (log x) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (log x) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (log x) 1) into (log x) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 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 (* 1/4 (log x)) into (* 1/4 (log x)) * [misc]backup-simplify: Simplify (+ (* 1/4 (log x)) 0) into (* 1/4 (log x)) * [misc]backup-simplify: Simplify (* 1/4 (log x)) into (* 1/4 (log x)) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/4 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ (log x) n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (log x) n) 0) (* 0 (/ 1/4 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/4 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)))) 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]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 n) (/ 1 x))) (+ (* -1/4 (* (/ 1 n) (pow x -2))) (* (* 1/4 (log x)) (* (pow n -2) (/ 1 x))))) into (- (+ (* 1/4 (/ (log x) (* x (pow n 2)))) (* 1/2 (/ 1 (* x n)))) (* 1/4 (/ 1 (* (pow x 2) n)))) * [misc]approximate: Taking taylor expansion of (- (* (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/4 (/ 1 n))) (- (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/2 (* (/ 1 x) (/ 1 n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (* (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/4 (/ 1 n))) (- (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/2 (* (/ 1 x) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/4 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [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 (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (log (/ 1 x)) (/ 1 x)) into (* (log (/ 1 x)) x) * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [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 (/ 1/4 1) into 1/4 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/2 (* (/ 1 x) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1/4 (/ 1 x)) into (* 1/4 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [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 (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (* 1/4 x) (/ 1 x)) into (* 1/4 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (/ 1 x) (/ 1 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 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [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 (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 x)) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of (- (* (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/4 (/ 1 n))) (- (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/2 (* (/ 1 x) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (* (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/4 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/4 (/ 1 n)) into (* 1/4 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/2 (* (/ 1 x) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1/4 1) into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/4 (/ 1 n)) into (* 1/4 n) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (- (* (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/4 (/ 1 n))) (- (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/2 (* (/ 1 x) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (* (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/4 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/4 (/ 1 n)) into (* 1/4 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1/2 (* (/ 1 x) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 (/ 1 x)) (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1/4 1) into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/4 (/ 1 n)) into (* 1/4 n) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (* -1 (* n (log x))) (* 1/4 n)) into (* -1/4 (* (pow n 2) (log x))) * [misc]backup-simplify: Simplify (- (* 1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 n))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (- (- (* 1/2 n))) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* -1/4 (* (pow n 2) (log x))) (* 1/2 n)) into (- (* 1/2 n) (* 1/4 (* (pow n 2) (log x)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) (* 1/4 (* (pow n 2) (log x)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (pow n 2) (log x))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (log x)) in n * [misc]taylor: Taking taylor expansion of (pow n 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/4 n) (/ 0 (/ 1 n))))) 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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* n (log x))) 0) (* 0 (* 1/4 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 n) 0) into (* 1/4 n) * [misc]backup-simplify: Simplify (- (* 1/4 n)) into (- (* 1/4 n)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/4 n))) into (- (* 1/4 n)) * [misc]taylor: Taking taylor expansion of (- (* 1/4 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/4 n) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [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 (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (* 1/4 (log x)) into (* 1/4 (log x)) * [misc]backup-simplify: Simplify (- (* 1/4 (log x))) into (- (* 1/4 (log x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/4 (log x)))) into (- (* 1/4 (log x))) * [misc]backup-simplify: Simplify (- (* 1/4 (log x))) into (- (* 1/4 (log x))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (log (/ 1 x)))) (* (pow (/ 1 n) 2) (/ 1 x))) (+ (* -1/4 (* (/ 1 n) (pow (/ 1 x) 2))) (* 1/2 (* (/ 1 n) (/ 1 x))))) into (- (* 1/2 (/ 1 (* x n))) (+ (* 1/4 (/ (log (/ 1 x)) (* x (pow n 2)))) (* 1/4 (/ 1 (* (pow x 2) n))))) * [misc]approximate: Taking taylor expansion of (- (* (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/4 (/ 1 (- n)))) (- (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n)))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (* (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/4 (/ 1 (- n)))) (- (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/4 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [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 (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (log (/ -1 x)) (/ 1 x)) into (* x (log (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [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 (/ 1/4 -1) into -1/4 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ 1/4 (/ -1 x)) into (* -1/4 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [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 (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (* -1/4 x) (/ 1 x)) into (* -1/4 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (/ 1 (- x)) (/ 1 (- 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 (- x)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [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 (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 x)) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of (- (* (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/4 (/ 1 (- n)))) (- (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (* (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/4 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ 1 n)) into (* (- (log -1) (log x)) n) * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1/4 (/ -1 n)) into (* -1/4 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1/4 -1) into -1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ -1/4 (/ 1 n)) into (* -1/4 n) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (- (* (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/4 (/ 1 (- n)))) (- (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (* (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/4 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ 1 n)) into (* (- (log -1) (log x)) n) * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1/4 (/ -1 n)) into (* -1/4 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/4 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/4 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1/4 -1) into -1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ -1/4 (/ 1 n)) into (* -1/4 n) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (* (- (log -1) (log x)) n) (* -1/4 n)) into (* -1/4 (* (- (log -1) (log x)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/2 n)) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 n))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (- (- (* 1/2 n))) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* -1/4 (* (- (log -1) (log x)) (pow n 2))) (* 1/2 n)) into (- (+ (* 1/4 (* (pow n 2) (log x))) (* 1/2 n)) (* 1/4 (* (pow n 2) (log -1)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (* (pow n 2) (log x))) (* 1/2 n)) (* 1/4 (* (pow n 2) (log -1)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (pow n 2) (log x))) (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (* (pow n 2) (log x))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (log x)) in n * [misc]taylor: Taking taylor expansion of (pow n 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of (* 1/2 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (pow n 2) (log -1))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (log -1)) in n * [misc]taylor: Taking taylor expansion of (pow n 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 (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1/4 n) (/ 0 (/ -1 n))))) 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) 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 (/ -1 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* (- (log -1) (log x)) n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (- (log -1) (log x)) n) 0) (* 0 (* -1/4 n))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) 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 (/ -1 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/4 n) 0) into (- (* 1/4 n)) * [misc]backup-simplify: Simplify (- (- (* 1/4 n))) into (* 1/4 n) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 n)) into (* 1/4 n) * [misc]taylor: Taking taylor expansion of (* 1/4 n) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [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 (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (* 1/4 (log x)) into (* 1/4 (log x)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 (log x)) 0) into (* 1/4 (log x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (log -1)) into (log -1) * [misc]backup-simplify: Simplify (* 1/4 (log -1)) into (* 1/4 (log -1)) * [misc]backup-simplify: Simplify (- (* 1/4 (log -1))) into (- (* 1/4 (log -1))) * [misc]backup-simplify: Simplify (+ (* 1/4 (log x)) (- (* 1/4 (log -1)))) into (- (* 1/4 (log x)) (* 1/4 (log -1))) * [misc]backup-simplify: Simplify (- (* 1/4 (log x)) (* 1/4 (log -1))) into (- (* 1/4 (log x)) (* 1/4 (log -1))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (log (/ 1 (- x)))) (* 1/4 (log -1))) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) (+ (* 1/4 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (* 1/2 (* (/ 1 (- n)) (/ 1 (- x)))))) into (- (+ (* 1/4 (/ (log -1) (* x (pow n 2)))) (* 1/2 (/ 1 (* x n)))) (+ (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/4 (/ (log (/ -1 x)) (* x (pow n 2)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ x 1)) (/ 1 n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (log (+ 1 x)) n) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x n) (* (+ (sqrt (exp (/ (log (+ 1 x)) n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 2 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ 1 x) (* 1 (/ 1 n)))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 4 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (pow (+ x 1) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n)))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 5 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (pow (+ x 1) (sqrt (/ 1 n))) (sqrt (/ 1 n)))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 6 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (pow (+ x 1) 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 7 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (pow (+ x 1) 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 8 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x n) (* (+ (sqrt (* (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 9 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ x 1)) (/ 1 n)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ 1 x)) (/ 1 n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x n) (* (+ (sqrt (* (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 10 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x n) (* (+ (sqrt (* 1 (pow (+ x 1) (/ 1 n)))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 11 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 n)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (pow x (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n))))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 20 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 n)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (pow x (sqrt (/ 1 n))) (sqrt (/ 1 n))))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 21 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (pow x 1) (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 22 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (pow x 1) (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 23 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ (/ 1/4 x) (* x n))) (exp (/ 1/2 (* x n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (exp (+ (/ (/ 1/4 x) (* n x)) (/ -1/2 (* n x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (log (exp (+ (/ (/ 1/4 x) (* n x)) (/ -1/2 (* n x)))))))) * * * * [misc]progress: [ 31 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1/4 x) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (+ -1/2 (/ 1/4 x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (/ (+ -1/2 (/ 1/4 x)) (* x n))))) * [enter]simplify: Simplifying (* x n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* x n) * [misc]simplify: Simplified (2 2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (/ (- (/ 1/4 x) 1/2) (* x n))))) * * * * [misc]progress: [ 38 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1/4 x) (* x n)) (* (* x n) 1/2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (* (+ 1/4 (* x -1/2)) n) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (/ (* (+ 1/4 (* x -1/2)) n) (* (* x n) (* x n)))))) * [enter]simplify: Simplifying (* (* x n) (* x n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (* x n) (* x n)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (/ (* (+ 1/4 (* x -1/2)) n) (* (* x n) (* x n)))))) * * * * [misc]progress: [ 39 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ (/ 1/4 x) (* x n))) (sqrt (/ 1/2 (* x n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ (/ 1/4 x) (* n x))) (sqrt (/ 1/2 (* n x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (* (+ (sqrt (/ (/ 1/4 x) (* n x))) (sqrt (/ 1/2 (* n x)))) (- (sqrt (/ (/ 1/4 x) (* x n))) (sqrt (/ 1/2 (* x n)))))))) * [enter]simplify: Simplifying (- (sqrt (/ (/ 1/4 x) (* x n))) (sqrt (/ 1/2 (* x n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (- (sqrt (/ (/ 1/4 x) (* n x))) (sqrt (/ 1/2 (* n x)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (* (+ (sqrt (/ (/ 1/4 x) (* x n))) (sqrt (/ 1/2 (* x n)))) (- (sqrt (/ (/ 1/4 x) (* n x))) (sqrt (/ 1/2 (* n x)))))))) * * * * [misc]progress: [ 44 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (+ (/ (/ -1/2 x) n) (/ (/ 1/4 x) (* n x))) * [misc]simplify: Simplified (2 2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (* 1 (+ (/ (/ -1/2 x) n) (/ (/ 1/4 x) (* n x))))))) * * * * [misc]progress: [ 45 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* n x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (* (/ 1 (* n x)) (- (/ 1/4 x) 1/2))))) * [enter]simplify: Simplifying (- (/ 1/4 x) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (+ -1/2 (/ 1/4 x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (* (/ 1 (* x n)) (+ -1/2 (/ 1/4 x)))))) * * * * [misc]progress: [ 46 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (/ (log x) (* x n)) (/ 1/4 n))) (/ (exp (/ (/ 1/4 x) (* x n))) (exp (/ 1/2 (* x n))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (320 enodes) * [exit]simplify: Simplified to (exp (- (/ (/ 1/4 (* x n)) (/ n (log x))) (- (/ (/ 1/4 x) (* x n)) (/ (/ 1/2 x) n)))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (log (exp (- (/ (/ 1/4 (* x n)) (/ n (log x))) (- (/ (/ 1/4 x) (* x n)) (/ (/ 1/2 x) n))))))) * * * * [misc]progress: [ 48 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (/ (log x) (* x n)) (/ 1/4 n))) (exp (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (exp (- (* (/ 1/4 x) (/ (log x) (* n n))) (+ (/ -1/2 (* x n)) (/ (/ 1/4 x) (* x n))))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (log (exp (- (* (/ 1/4 x) (/ (log x) (* n n))) (+ (/ -1/2 (* x n)) (/ (/ 1/4 x) (* x n)))))))) * * * * [misc]progress: [ 49 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log x) (/ 1/4 n)) (- (/ 1/4 x) 1/2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (* (log x) (/ 1/4 n)) (+ -1/2 (/ 1/4 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (- (* (log x) (/ 1/4 n)) (+ -1/2 (/ 1/4 x))) (* x n)))) * [enter]simplify: Simplifying (* x n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* x n) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (- (* (log x) (/ 1/4 n)) (- (/ 1/4 x) 1/2)) (* x n)))) * * * * [misc]progress: [ 56 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (log x) 1/4) (* x n)) (* (* (* x n) n) (- (/ 1/4 x) 1/2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (332 enodes) * [exit]simplify: Simplified to (- (* n (* (* x 1/4) (log x))) (* (* x (* n n)) (+ -1/2 (/ 1/4 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (- (* n (* (* x 1/4) (log x))) (* (* x (* n n)) (+ -1/2 (/ 1/4 x)))) (* (* (* x n) n) (* x n))))) * [enter]simplify: Simplifying (* (* (* x n) n) (* x n)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (pow n 3) (* x x)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (- (* (* (log x) 1/4) (* x n)) (* (* (* x n) n) (- (/ 1/4 x) 1/2))) (* (pow n 3) (* x x))))) * * * * [misc]progress: [ 57 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (log x) 1/4) (* (* x n) (* x n))) (* (* (* x n) n) (- (* (/ 1/4 x) (* x n)) (* (* x n) 1/2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (* n (- (* (* 1/4 (log x)) (* (* n x) x)) (* (* (* n x) (* n x)) (- (/ 1/4 x) 1/2)))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (* n (- (* (* 1/4 (log x)) (* (* n x) x)) (* (* (* n x) (* n x)) (- (/ 1/4 x) 1/2)))) (* (* (* x n) n) (* (* x n) (* x n)))))) * [enter]simplify: Simplifying (* (* (* x n) n) (* (* x n) (* x n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (pow n 4) (pow x 3)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (* n (- (* (* 1/4 (log x)) (* (* n x) x)) (* (* (* n x) (* n x)) (- (/ 1/4 x) 1/2)))) (* (pow n 4) (pow x 3))))) * * * * [misc]progress: [ 58 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (log x) 1/4) (+ (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (+ (* (/ 1/2 (* x n)) (/ 1/2 (* x n))) (* (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) (* (* (* x n) n) (- (pow (/ (/ 1/4 x) (* x n)) 3) (pow (/ 1/2 (* x n)) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (352 enodes) * [exit]simplify: Simplified to (- (+ (* (* (/ (/ 1/4 x) (* n x)) (/ (/ 1/4 x) (* n x))) (* 1/4 (log x))) (* (* (log x) (/ 1/8 (* n x))) (+ (/ (/ 1/4 x) (* n x)) (/ 1/2 (* n x))))) (+ (* (* (/ 1/2 (* n x)) (/ 1/2 (* n x))) (* (/ -1/2 (* n x)) (* n (* n x)))) (* (* (/ (/ 1/4 x) (* n x)) (/ (/ 1/4 x) (* n x))) (* (/ (/ 1/4 x) (* n x)) (* n (* n x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (- (+ (* (* (/ (/ 1/4 x) (* n x)) (/ (/ 1/4 x) (* n x))) (* 1/4 (log x))) (* (* (log x) (/ 1/8 (* n x))) (+ (/ (/ 1/4 x) (* n x)) (/ 1/2 (* n x))))) (+ (* (* (/ 1/2 (* n x)) (/ 1/2 (* n x))) (* (/ -1/2 (* n x)) (* n (* n x)))) (* (* (/ (/ 1/4 x) (* n x)) (/ (/ 1/4 x) (* n x))) (* (/ (/ 1/4 x) (* n x)) (* n (* n x)))))) (* (* (* x n) n) (+ (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (+ (* (/ 1/2 (* x n)) (/ 1/2 (* x n))) (* (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))))))))) * [enter]simplify: Simplifying (* (* (* x n) n) (+ (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (+ (* (/ 1/2 (* x n)) (/ 1/2 (* x n))) (* (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* x n) n) (/ (/ 1/2 x) n)) (+ (/ (/ 1/4 n) (* x x)) (/ (/ 1/2 x) n))) (* (* (* x n) n) (* (/ (/ 1/4 n) (* x x)) (/ (/ 1/4 n) (* x x))))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (- (* (* (log x) 1/4) (+ (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (+ (* (/ 1/2 (* x n)) (/ 1/2 (* x n))) (* (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) (* (* (* x n) n) (- (pow (/ (/ 1/4 x) (* x n)) 3) (pow (/ 1/2 (* x n)) 3)))) (+ (* (* (* (* x n) n) (/ (/ 1/2 x) n)) (+ (/ (/ 1/4 n) (* x x)) (/ (/ 1/2 x) n))) (* (* (* x n) n) (* (/ (/ 1/4 n) (* x x)) (/ (/ 1/4 n) (* x x)))))))) * * * * [misc]progress: [ 59 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (log x) 1/4) (+ (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) (* (* (* x n) n) (- (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (* (/ 1/2 (* x n)) (/ 1/2 (* x n)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (+ (/ 1/2 (* n x)) (/ (/ 1/4 x) (* n x))) (- (* 1/4 (log x)) (* (+ (/ -1/2 (* n x)) (/ (/ 1/4 x) (* n x))) (* x (* n n))))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (* (+ (/ 1/2 (* n x)) (/ (/ 1/4 x) (* n x))) (- (* 1/4 (log x)) (* (+ (/ -1/2 (* n x)) (/ (/ 1/4 x) (* n x))) (* x (* n n))))) (* (* (* x n) n) (+ (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))))))) * [enter]simplify: Simplifying (* (* (* x n) n) (+ (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (* (/ (* x n) (/ x n)) (+ (/ 1/4 (* x n)) (/ 1/2 n))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (* (+ (/ 1/2 (* n x)) (/ (/ 1/4 x) (* n x))) (- (* 1/4 (log x)) (* (+ (/ -1/2 (* n x)) (/ (/ 1/4 x) (* n x))) (* x (* n n))))) (* (/ (* x n) (/ x n)) (+ (/ 1/4 (* x n)) (/ 1/2 n)))))) * * * * [misc]progress: [ 60 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (/ (log x) (* x n)) 1/4) (* x n)) (* n (- (/ 1/4 x) 1/2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (+ (/ (log x) 4) (* n (+ 1/2 (/ -1/4 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (+ (/ (log x) 4) (* n (+ 1/2 (/ -1/4 x)))) (* n (* x n))))) * [enter]simplify: Simplifying (* n (* x n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (* n (* n x)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (+ (/ (log x) 4) (* n (+ 1/2 (/ -1/4 x)))) (* n (* n x))))) * * * * [misc]progress: [ 61 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (/ (log x) (* x n)) 1/4) (* (* x n) (* x n))) (* n (- (* (/ 1/4 x) (* x n)) (* (* x n) 1/2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (* n (- (* (/ (log x) (* x n)) (* (* 1/4 x) (* x n))) (* (+ (/ 1/4 x) -1/2) (* x n)))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (* n (- (* (/ (log x) (* x n)) (* (* 1/4 x) (* x n))) (* (+ (/ 1/4 x) -1/2) (* x n)))) (* n (* (* x n) (* x n)))))) * [enter]simplify: Simplifying (* n (* (* x n) (* x n))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (pow n 3) (* x x)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (* n (- (* (/ (log x) (* x n)) (* (* 1/4 x) (* x n))) (* (+ (/ 1/4 x) -1/2) (* x n)))) (* (pow n 3) (* x x))))) * * * * [misc]progress: [ 62 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (/ (log x) (* x n)) 1/4) (+ (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (+ (* (/ 1/2 (* x n)) (/ 1/2 (* x n))) (* (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) (* n (- (pow (/ (/ 1/4 x) (* x n)) 3) (pow (/ 1/2 (* x n)) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (360 enodes) * [exit]simplify: Simplified to (- (+ (* (* (/ (/ 1/4 n) (* x x)) (/ (/ 1/4 n) (* x x))) (* (/ (log x) x) (/ 1/4 n))) (* (+ (/ (/ 1/4 n) (* x x)) (/ (/ 1/2 x) n)) (* (/ (log x) (* x n)) (/ 1/8 (* x n))))) (+ (* (* n (/ (/ 1/4 n) (* x x))) (* (/ (/ 1/4 n) (* x x)) (/ (/ 1/4 n) (* x x)))) (* (* (/ (/ 1/2 x) n) (/ (/ 1/2 x) n)) (* (/ -1/2 (* x n)) n)))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (- (+ (* (* (/ (/ 1/4 n) (* x x)) (/ (/ 1/4 n) (* x x))) (* (/ (log x) x) (/ 1/4 n))) (* (+ (/ (/ 1/4 n) (* x x)) (/ (/ 1/2 x) n)) (* (/ (log x) (* x n)) (/ 1/8 (* x n))))) (+ (* (* n (/ (/ 1/4 n) (* x x))) (* (/ (/ 1/4 n) (* x x)) (/ (/ 1/4 n) (* x x)))) (* (* (/ (/ 1/2 x) n) (/ (/ 1/2 x) n)) (* (/ -1/2 (* x n)) n)))) (* n (+ (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (+ (* (/ 1/2 (* x n)) (/ 1/2 (* x n))) (* (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))))))))) * [enter]simplify: Simplifying (* n (+ (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (+ (* (/ 1/2 (* x n)) (/ 1/2 (* x n))) (* (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (+ (* (+ (/ (/ 1/4 n) (* x x)) (/ (/ 1/2 x) n)) (/ (* n 1/2) (* n x))) (* (/ (/ 1/4 n) (* x x)) (* (/ (/ 1/4 n) (* x x)) n))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (- (* (* (/ (log x) (* x n)) 1/4) (+ (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (+ (* (/ 1/2 (* x n)) (/ 1/2 (* x n))) (* (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) (* n (- (pow (/ (/ 1/4 x) (* x n)) 3) (pow (/ 1/2 (* x n)) 3)))) (+ (* (+ (/ (/ 1/4 n) (* x x)) (/ (/ 1/2 x) n)) (/ (* n 1/2) (* n x))) (* (/ (/ 1/4 n) (* x x)) (* (/ (/ 1/4 n) (* x x)) n)))))) * * * * [misc]progress: [ 63 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (/ (log x) (* x n)) 1/4) (+ (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) (* n (- (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (* (/ 1/2 (* x n)) (/ 1/2 (* x n)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (+ (/ 1/2 (* x n)) (/ (/ 1/4 n) (* x x))) (- (* (/ (log x) n) (/ 1/4 x)) (* n (+ (/ -1/2 (* x n)) (/ (/ 1/4 n) (* x x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (* (+ (/ 1/2 (* x n)) (/ (/ 1/4 n) (* x x))) (- (* (/ (log x) n) (/ 1/4 x)) (* n (+ (/ -1/2 (* x n)) (/ (/ 1/4 n) (* x x)))))) (* n (+ (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))))))) * [enter]simplify: Simplifying (* n (+ (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * [exit]simplify: Simplified to (+ (/ 1/4 (* x x)) (/ 1/2 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (* (+ (/ 1/2 (* x n)) (/ (/ 1/4 n) (* x x))) (- (* (/ (log x) n) (/ 1/4 x)) (* n (+ (/ -1/2 (* x n)) (/ (/ 1/4 n) (* x x)))))) (+ (/ 1/4 (* x x)) (/ 1/2 x))))) * * * * [misc]progress: [ 64 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (log x) (/ 1/4 n)) (* x n)) (* (* x n) (- (/ 1/4 x) 1/2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (* (* n x) (- (/ (log x) (/ n 1/4)) (+ (/ 1/4 x) -1/2))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (* (* n x) (- (/ (log x) (/ n 1/4)) (+ (/ 1/4 x) -1/2))) (* (* x n) (* x n))))) * [enter]simplify: Simplifying (* (* x n) (* x n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (* x n) (* x n)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (* (* n x) (- (/ (log x) (/ n 1/4)) (+ (/ 1/4 x) -1/2))) (* (* x n) (* x n))))) * * * * [misc]progress: [ 65 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (log x) (/ 1/4 n)) (* (* x n) (* x n))) (* (* x n) (- (* (/ 1/4 x) (* x n)) (* (* x n) 1/2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (- (* (* (* n x) (/ 1/4 n)) (* (* n x) (log x))) (* (* (* n x) (* n x)) (- (/ 1/4 x) 1/2))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (- (* (* (* n x) (/ 1/4 n)) (* (* n x) (log x))) (* (* (* n x) (* n x)) (- (/ 1/4 x) 1/2))) (* (* x n) (* (* x n) (* x n)))))) * [enter]simplify: Simplifying (* (* x n) (* (* x n) (* x n))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (pow (* x n) 3) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (- (* (* (* n x) (/ 1/4 n)) (* (* n x) (log x))) (* (* (* n x) (* n x)) (- (/ 1/4 x) 1/2))) (pow (* x n) 3)))) * * * * [misc]progress: [ 66 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (log x) (/ 1/4 n)) (+ (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (+ (* (/ 1/2 (* x n)) (/ 1/2 (* x n))) (* (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) (* (* x n) (- (pow (/ (/ 1/4 x) (* x n)) 3) (pow (/ 1/2 (* x n)) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (364 enodes) * [exit]simplify: Simplified to (- (+ (* (* (/ (log x) (/ n 1/4)) (/ (/ 1/4 x) (* n x))) (/ (/ 1/4 x) (* n x))) (* (+ (/ (/ 1/4 x) (* n x)) (/ 1/2 (* n x))) (* (/ (log x) (/ n 1/4)) (/ 1/2 (* n x))))) (+ (* (* (/ -1/2 (* n x)) (/ 1/2 (* n x))) (* (/ 1/2 (* n x)) (* n x))) (* (* (/ (/ 1/4 x) (* n x)) (/ (/ 1/4 x) (* n x))) (* (/ (/ 1/4 x) (* n x)) (* n x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (- (+ (* (* (/ (log x) (/ n 1/4)) (/ (/ 1/4 x) (* n x))) (/ (/ 1/4 x) (* n x))) (* (+ (/ (/ 1/4 x) (* n x)) (/ 1/2 (* n x))) (* (/ (log x) (/ n 1/4)) (/ 1/2 (* n x))))) (+ (* (* (/ -1/2 (* n x)) (/ 1/2 (* n x))) (* (/ 1/2 (* n x)) (* n x))) (* (* (/ (/ 1/4 x) (* n x)) (/ (/ 1/4 x) (* n x))) (* (/ (/ 1/4 x) (* n x)) (* n x))))) (* (* x n) (+ (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (+ (* (/ 1/2 (* x n)) (/ 1/2 (* x n))) (* (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))))))))) * [enter]simplify: Simplifying (* (* x n) (+ (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (+ (* (/ 1/2 (* x n)) (/ 1/2 (* x n))) (* (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (+ (* (/ (* (* x n) 1/2) (* x n)) (+ (/ (/ 1/4 n) (* x x)) (/ (/ 1/2 x) n))) (* (* (/ (/ 1/4 n) (* x x)) (/ (/ 1/4 n) (* x x))) (* x n))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (- (* (* (log x) (/ 1/4 n)) (+ (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (+ (* (/ 1/2 (* x n)) (/ 1/2 (* x n))) (* (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) (* (* x n) (- (pow (/ (/ 1/4 x) (* x n)) 3) (pow (/ 1/2 (* x n)) 3)))) (+ (* (/ (* (* x n) 1/2) (* x n)) (+ (/ (/ 1/4 n) (* x x)) (/ (/ 1/2 x) n))) (* (* (/ (/ 1/4 n) (* x x)) (/ (/ 1/4 n) (* x x))) (* x n)))))) * * * * [misc]progress: [ 67 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (log x) (/ 1/4 n)) (+ (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) (* (* x n) (- (* (/ (/ 1/4 x) (* x n)) (/ (/ 1/4 x) (* x n))) (* (/ 1/2 (* x n)) (/ 1/2 (* x n)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (+ (/ (/ 1/2 x) n) (/ (/ 1/4 x) (* n x))) (- (/ (log x) (/ n 1/4)) (* (* n x) (+ (/ -1/2 (* n x)) (/ (/ 1/4 x) (* n x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (* (+ (/ (/ 1/2 x) n) (/ (/ 1/4 x) (* n x))) (- (/ (log x) (/ n 1/4)) (* (* n x) (+ (/ -1/2 (* n x)) (/ (/ 1/4 x) (* n x)))))) (* (* x n) (+ (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))))))) * [enter]simplify: Simplifying (* (* x n) (+ (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (+ (/ 1/4 x) 1/2) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (/ (* (+ (/ (/ 1/2 x) n) (/ (/ 1/4 x) (* n x))) (- (/ (log x) (/ n 1/4)) (* (* n x) (+ (/ -1/2 (* n x)) (/ (/ 1/4 x) (* n x)))))) (+ (/ 1/4 x) 1/2)))) * * * * [misc]progress: [ 68 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1/2 (* x n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ -1/2 (* n x)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (- (* (/ (log x) (* x n)) (/ 1/4 n)) (/ (/ 1/4 x) (* x n))) (/ -1/2 (* n x))))) * * * * [misc]progress: [ 73 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1/2 (* x n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ -1/2 (* n x)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (- (* (/ (log x) (* x n)) (/ 1/4 n)) (/ (/ 1/4 x) (* x n))) (/ -1/2 (* n x))))) * * * * [misc]progress: [ 74 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* x n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1/2 (* n x)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (+ (- (* (/ (log x) (* x n)) (/ 1/4 n)) (/ (/ 1/4 x) (* x n))) (/ 1/2 (* n x))))) * * * * [misc]progress: [ 75 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (* (+ (sqrt 1) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 77 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (+ (/ (log x) n) (/ 1 (* n x))) 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (* (+ (sqrt (+ (+ (/ (log x) n) (/ 1 (* n x))) 1)) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 78 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (* (+ (sqrt (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n)))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 79 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (log x) n)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (/ (log x) n)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (exp (/ (log x) n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 80 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) 1) (/ (log (/ 1 x)) n)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (+ (+ 1 (/ (log x) n)) (* (/ (log x) n) (/ (log x) (/ n 1/2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (+ (+ 1 (/ (log x) n)) (* (/ (log x) n) (/ (log x) (/ n 1/2)))))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 81 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (+ (* 1/2 (/ (pow (log -1) 2) (pow n 2))) (+ (* 1/2 (/ (pow (log (/ -1 x)) 2) (pow n 2))) 1))) (+ (/ (log (/ -1 x)) n) (/ (* (log (/ -1 x)) (log -1)) (pow n 2)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (* (log -1) 1/2) (/ (* n n) (log -1))) (+ 1 (/ (log -1) n))) (/ (* 1/2 (log (/ -1 x))) (/ (* n n) (log (/ -1 x))))) (* (+ 1 (/ (log -1) n)) (/ (log (/ -1 x)) n))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (- (+ (+ (/ (* (log -1) 1/2) (/ (* n n) (log -1))) (+ 1 (/ (log -1) n))) (/ (* 1/2 (log (/ -1 x))) (/ (* n n) (log (/ -1 x))))) (* (+ 1 (/ (log -1) n)) (/ (log (/ -1 x)) n))))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 82 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/2 (/ 1 (* x n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (* (/ 1 (* x n)) (- (/ 1/4 x) 1/2)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (* (/ 1 (* x n)) (- (/ 1/4 x) 1/2))))) * * * * [misc]progress: [ 83 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/2 (/ 1 (* x n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (* (/ 1 (* x n)) (- (/ 1/4 x) 1/2)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (* (/ 1 (* x n)) (- (/ 1/4 x) 1/2))))) * * * * [misc]progress: [ 84 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/2 (/ 1 (* x n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (* (/ 1 (* x n)) (- (/ 1/4 x) 1/2)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (* (/ 1 (* x n)) (- (/ 1/4 x) 1/2))))) * * * * [misc]progress: [ 85 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (/ (log x) (* x (pow n 2)))) (* 1/2 (/ 1 (* x n)))) (* 1/4 (/ 1 (* (pow x 2) n)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (+ (* (/ (/ 1/4 n) (* n x)) (log x)) (- (/ 1/2 (* n x)) (/ (/ 1/4 x) (* n x)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (+ (* (/ (/ 1/4 n) (* n x)) (log x)) (- (/ 1/2 (* n x)) (/ (/ 1/4 x) (* n x)))))) * * * * [misc]progress: [ 86 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* x n))) (+ (* 1/4 (/ (log (/ 1 x)) (* x (pow n 2)))) (* 1/4 (/ 1 (* (pow x 2) n))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) * * * * [misc]progress: [ 87 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (/ (log -1) (* x (pow n 2)))) (* 1/2 (/ 1 (* x n)))) (+ (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/4 (/ (log (/ -1 x)) (* x (pow n 2)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (- (* (/ (/ 1/4 n) (* x n)) (- (log -1) (log (/ -1 x)))) (- (/ (/ 1/4 x) (* x n)) (/ (/ 1/2 x) n))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (* (/ (/ 1/4 n) (* x n)) (- (log -1) (log (/ -1 x)))) (- (/ (/ 1/4 x) (* x n)) (/ (/ 1/2 x) n))))) * * * [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 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ x 1) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) 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 (log (+ x 1)) in n * [misc]taylor: Taking taylor expansion of (+ x 1) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 1) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ x 1))) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (+ x 1)))) into (exp (/ (log (+ x 1)) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log (+ x 1)) n))) into (sqrt (exp (/ (log (+ x 1)) n))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log (+ x 1)) n))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (pow x (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ x 1) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 1))) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (sqrt (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ x 1) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 1))) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (sqrt (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ (log x) n)))) into (- (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (+ 1 (- (sqrt (exp (/ (log x) n))))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]taylor: Taking taylor expansion of (- 1 (sqrt (exp (/ (log x) n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ (log x) n))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ (log x) n)))) into (- (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (+ 1 (- (sqrt (exp (/ (log x) n))))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (- 1 (sqrt (exp (/ (log x) n)))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) -1/2) (+ (* 0 1) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (pow (/ 1/2 n) 2) (+)) (* 2 1)) into (* 1/2 (- (* 1/4 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/4 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) 0) into (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ (log x) n))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (- (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (+ (* 2 (* (/ 1/2 n) (* 1/2 (- (* 1/4 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))) (* 2 1)) into (* 1/2 (- (+ (* 1/24 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/4 (/ 1 (pow n 2))))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) 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 (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* 1/24 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/4 (/ 1 (pow n 2))))) 0) into (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/48 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/48 in n * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [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 (* 1/8 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) 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 (- 1 (sqrt (exp (/ (log x) n)))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]approximate: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 x) 1) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ (/ 1 x) 1))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (log (+ (/ 1 x) 1)) 1) 1)))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (/ (log (+ (/ 1 x) 1)) (* 2 (sqrt 1))) into (* 1/2 (log (+ (/ 1 x) 1))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 x) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (log (/ 1 x)) 1) 1)))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (/ (log (/ 1 x)) (* 2 (sqrt 1))) into (* 1/2 (log (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]backup-simplify: Simplify (/ (* (exp (* -1 (* n (log x)))) n) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]backup-simplify: Simplify (/ (* (exp (* -1 (* n (log x)))) n) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (* -1 (* n (log x)))))) into (- (sqrt (exp (* -1 (* n (log x)))))) * [misc]backup-simplify: Simplify (+ (sqrt (exp (* -1 (* n (log x))))) (- (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) 0) into (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) 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 (* (sqrt (exp (* -1 (* n (log x))))) n) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]backup-simplify: Simplify (/ (- (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) (pow (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) 2) (+)) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (sqrt (/ 1 (exp (* -1 (* n (log x)))))) (- (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sqrt (/ 1 (exp (* -1 (* n (log x)))))) (- (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))))) 0) into (- (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) (* 1/4 (* (sqrt (exp (* -1 (* n (log x))))) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) (* 1/4 (* (sqrt (exp (* -1 (* n (log x))))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [misc]taylor: Taking taylor expansion of (pow n 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 (* 1/4 (* (sqrt (exp (* -1 (* n (log x))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) n) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 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 (+ (* 1 1) (* (* -1/2 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (log x)))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (- (* 1/2 n)) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (- (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) (+ (* 2 (* (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/2 (* (sqrt (/ 1 (exp (* -1 (* n (log x)))))) (- (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))))))))) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (- (+ (* 1/24 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2)))) (sqrt (/ 1 (exp (* -1 (* n (log x)))))))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (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 (exp (* -1 (* n (log x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (- (+ (* 1/24 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2)))) (sqrt (/ 1 (exp (* -1 (* n (log x)))))))) 0) into (- (+ (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)))) (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)))) (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) n) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [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 (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/48 in n * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1/2 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow (log x) 2)) (pow (* -1/2 (log x)) 2) (+)) (* 2 1)) into (* 1/8 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (* -1/2 (log x)) 1) (* (* 1/8 (pow (log x) 2)) 0))) into (- (* 1/2 (log x))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/2 (log x)))) (+ (* 0 1) (* 0 0))) into (- (* 1/4 (log x))) * [misc]backup-simplify: Simplify (- (* 1/4 (log x))) into (- (* 1/4 (log x))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (log (/ 1 x)))) (* (pow (/ 1 n) 2) (/ 1 x))) (+ (* -1/4 (* (/ 1 n) (pow (/ 1 x) 2))) (* 1/2 (* (/ 1 n) (/ 1 x))))) into (- (* 1/2 (/ 1 (* x n))) (+ (* 1/4 (/ (log (/ 1 x)) (* x (pow n 2)))) (* 1/4 (/ 1 (* (pow x 2) n))))) * [misc]approximate: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ -1 x) 1) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 x)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1 (log (- 1 (/ 1 x)))) 1) 1)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (* -1 (log (- 1 (/ 1 x)))) (* 2 (sqrt 1))) into (* -1/2 (log (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1 (log (/ -1 x))) 1) 1)))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (/ (* -1 (log (/ -1 x))) (* 2 (sqrt 1))) into (* -1/2 (log (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (* n (exp (* -1 (* (- (log -1) (log x)) n)))) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (* n (exp (* -1 (* (- (log -1) (log x)) n)))) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) into (- (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) * [misc]backup-simplify: Simplify (+ (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) (- (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) 0) into (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/2 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (- (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) (pow (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) 2) (+)) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) 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 (/ 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) n))))))) 0) into (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/4 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/4 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of (pow n 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 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]taylor: Taking taylor expansion of (* 1/4 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (- (log x) (log -1)))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x)))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (* 1/2 n) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (- (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) (+ (* 2 (* (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) n))))))))))) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/24 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) 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 (- 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 (/ (+ (* 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) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) 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 (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/24 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) n))))))) 0) into (+ (* 1/48 (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/48 (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/48 (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/48 in n * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of (pow n 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 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (- (log x) (log -1)))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify 1/4 into 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 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (/ (- (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) (pow (* 1/2 (- (log x) (log -1))) 2) (+)) (* 2 1)) into (* 1/2 (- (+ (* 1/4 (pow (log x) 2)) (* 1/4 (pow (log -1) 2))) (* 1/2 (* (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (- (+ (* 1/4 (pow (log x) 2)) (* 1/4 (pow (log -1) 2))) (* 1/2 (* (log -1) (log x)))))) (+ (* 1 (* 1/2 (- (log x) (log -1)))) (* 0 1))) into (- (* 1/2 (log x)) (* 1/2 (log -1))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/2 (log x)) (* 1/2 (log -1)))) (+ (* 0 1) (* 0 0))) into (- (* 1/4 (log x)) (* 1/4 (log -1))) * [misc]backup-simplify: Simplify (- (* 1/4 (log x)) (* 1/4 (log -1))) into (- (* 1/4 (log x)) (* 1/4 (log -1))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (log (/ 1 (- x)))) (* 1/4 (log -1))) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) (+ (* 1/4 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (* 1/2 (* (/ 1 (- n)) (/ 1 (- x)))))) into (- (+ (* 1/4 (/ (log -1) (* x (pow n 2)))) (* 1/2 (/ 1 (* x n)))) (+ (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/4 (/ (log (/ -1 x)) (* x (pow n 2)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 1) * [misc]approximate: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ x 1) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) 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 (log (+ x 1)) in n * [misc]taylor: Taking taylor expansion of (+ x 1) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 1) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ x 1))) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (+ x 1)))) into (exp (/ (log (+ x 1)) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log (+ x 1)) n))) into (sqrt (exp (/ (log (+ x 1)) n))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log (+ x 1)) n))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (pow x (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ x 1) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 1))) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (sqrt (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ x 1) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 1))) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (sqrt (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ (log x) n)))) into (- (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (+ 1 (- (sqrt (exp (/ (log x) n))))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]taylor: Taking taylor expansion of (- 1 (sqrt (exp (/ (log x) n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ (log x) n))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ (log x) n)))) into (- (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (+ 1 (- (sqrt (exp (/ (log x) n))))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (- 1 (sqrt (exp (/ (log x) n)))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) -1/2) (+ (* 0 1) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (pow (/ 1/2 n) 2) (+)) (* 2 1)) into (* 1/2 (- (* 1/4 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/4 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) 0) into (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ (log x) n))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (- (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (+ (* 2 (* (/ 1/2 n) (* 1/2 (- (* 1/4 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))) (* 2 1)) into (* 1/2 (- (+ (* 1/24 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/4 (/ 1 (pow n 2))))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) 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 (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* 1/24 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/4 (/ 1 (pow n 2))))) 0) into (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/48 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/48 in n * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [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 (* 1/8 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) 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 (- 1 (sqrt (exp (/ (log x) n)))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]approximate: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 x) 1) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ (/ 1 x) 1))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (log (+ (/ 1 x) 1)) 1) 1)))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (/ (log (+ (/ 1 x) 1)) (* 2 (sqrt 1))) into (* 1/2 (log (+ (/ 1 x) 1))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 x) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (log (/ 1 x)) 1) 1)))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (/ (log (/ 1 x)) (* 2 (sqrt 1))) into (* 1/2 (log (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]backup-simplify: Simplify (/ (* (exp (* -1 (* n (log x)))) n) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]backup-simplify: Simplify (/ (* (exp (* -1 (* n (log x)))) n) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (* -1 (* n (log x)))))) into (- (sqrt (exp (* -1 (* n (log x)))))) * [misc]backup-simplify: Simplify (+ (sqrt (exp (* -1 (* n (log x))))) (- (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) 0) into (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) 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 (* (sqrt (exp (* -1 (* n (log x))))) n) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]backup-simplify: Simplify (/ (- (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) (pow (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) 2) (+)) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (sqrt (/ 1 (exp (* -1 (* n (log x)))))) (- (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sqrt (/ 1 (exp (* -1 (* n (log x)))))) (- (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))))) 0) into (- (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) (* 1/4 (* (sqrt (exp (* -1 (* n (log x))))) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) (* 1/4 (* (sqrt (exp (* -1 (* n (log x))))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [misc]taylor: Taking taylor expansion of (pow n 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 (* 1/4 (* (sqrt (exp (* -1 (* n (log x))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) n) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 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 (+ (* 1 1) (* (* -1/2 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (log x)))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (- (* 1/2 n)) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (- (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) (+ (* 2 (* (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/2 (* (sqrt (/ 1 (exp (* -1 (* n (log x)))))) (- (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))))))))) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (- (+ (* 1/24 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2)))) (sqrt (/ 1 (exp (* -1 (* n (log x)))))))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (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 (exp (* -1 (* n (log x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (- (+ (* 1/24 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2)))) (sqrt (/ 1 (exp (* -1 (* n (log x)))))))) 0) into (- (+ (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)))) (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)))) (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) n) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [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 (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/48 in n * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1/2 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow (log x) 2)) (pow (* -1/2 (log x)) 2) (+)) (* 2 1)) into (* 1/8 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (* -1/2 (log x)) 1) (* (* 1/8 (pow (log x) 2)) 0))) into (- (* 1/2 (log x))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/2 (log x)))) (+ (* 0 1) (* 0 0))) into (- (* 1/4 (log x))) * [misc]backup-simplify: Simplify (- (* 1/4 (log x))) into (- (* 1/4 (log x))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (log (/ 1 x)))) (* (pow (/ 1 n) 2) (/ 1 x))) (+ (* -1/4 (* (/ 1 n) (pow (/ 1 x) 2))) (* 1/2 (* (/ 1 n) (/ 1 x))))) into (- (* 1/2 (/ 1 (* x n))) (+ (* 1/4 (/ (log (/ 1 x)) (* x (pow n 2)))) (* 1/4 (/ 1 (* (pow x 2) n))))) * [misc]approximate: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ -1 x) 1) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 x)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1 (log (- 1 (/ 1 x)))) 1) 1)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (* -1 (log (- 1 (/ 1 x)))) (* 2 (sqrt 1))) into (* -1/2 (log (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1 (log (/ -1 x))) 1) 1)))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (/ (* -1 (log (/ -1 x))) (* 2 (sqrt 1))) into (* -1/2 (log (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (* n (exp (* -1 (* (- (log -1) (log x)) n)))) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (* n (exp (* -1 (* (- (log -1) (log x)) n)))) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) into (- (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) * [misc]backup-simplify: Simplify (+ (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) (- (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) 0) into (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/2 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (- (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) (pow (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) 2) (+)) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) 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 (/ 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) n))))))) 0) into (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/4 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/4 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of (pow n 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 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]taylor: Taking taylor expansion of (* 1/4 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (- (log x) (log -1)))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x)))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (* 1/2 n) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (- (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) (+ (* 2 (* (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) n))))))))))) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/24 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) 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 (- 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 (/ (+ (* 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) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) 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 (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/24 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) n))))))) 0) into (+ (* 1/48 (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/48 (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/48 (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/48 in n * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of (pow n 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 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (- (log x) (log -1)))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify 1/4 into 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 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (/ (- (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) (pow (* 1/2 (- (log x) (log -1))) 2) (+)) (* 2 1)) into (* 1/2 (- (+ (* 1/4 (pow (log x) 2)) (* 1/4 (pow (log -1) 2))) (* 1/2 (* (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (- (+ (* 1/4 (pow (log x) 2)) (* 1/4 (pow (log -1) 2))) (* 1/2 (* (log -1) (log x)))))) (+ (* 1 (* 1/2 (- (log x) (log -1)))) (* 0 1))) into (- (* 1/2 (log x)) (* 1/2 (log -1))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/2 (log x)) (* 1/2 (log -1)))) (+ (* 0 1) (* 0 0))) into (- (* 1/4 (log x)) (* 1/4 (log -1))) * [misc]backup-simplify: Simplify (- (* 1/4 (log x)) (* 1/4 (log -1))) into (- (* 1/4 (log x)) (* 1/4 (log -1))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (log (/ 1 (- x)))) (* 1/4 (log -1))) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) (+ (* 1/4 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (* 1/2 (* (/ 1 (- n)) (/ 1 (- x)))))) into (- (+ (* 1/4 (/ (log -1) (* x (pow n 2)))) (* 1/2 (/ 1 (* x n)))) (+ (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/4 (/ (log (/ -1 x)) (* x (pow n 2)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ x 1) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) 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 (log (+ x 1)) in n * [misc]taylor: Taking taylor expansion of (+ x 1) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 1) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ x 1))) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (+ x 1)))) into (exp (/ (log (+ x 1)) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log (+ x 1)) n))) into (sqrt (exp (/ (log (+ x 1)) n))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log (+ x 1)) n))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (pow x (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ x 1) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 1))) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (sqrt (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ x 1) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 1))) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (sqrt (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ (log x) n)))) into (- (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (+ 1 (- (sqrt (exp (/ (log x) n))))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]taylor: Taking taylor expansion of (- 1 (sqrt (exp (/ (log x) n)))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ (log x) n))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (sqrt (exp (/ (log x) n))) into (sqrt (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ (log x) n)))) into (- (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (+ 1 (- (sqrt (exp (/ (log x) n))))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (- 1 (sqrt (exp (/ (log x) n)))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) -1/2) (+ (* 0 1) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (pow (/ 1/2 n) 2) (+)) (* 2 1)) into (* 1/2 (- (* 1/4 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/4 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) 0) into (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ (log x) n))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (- (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (+ (* 2 (* (/ 1/2 n) (* 1/2 (- (* 1/4 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))) (* 2 1)) into (* 1/2 (- (+ (* 1/24 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/4 (/ 1 (pow n 2))))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) 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 (exp (/ (log x) n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* 1/24 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/4 (/ 1 (pow n 2))))) 0) into (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/48 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/48 in n * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [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 (* 1/8 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) 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 (- 1 (sqrt (exp (/ (log x) n)))) into (- 1 (sqrt (exp (/ (log x) n)))) * [misc]approximate: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 x) 1) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ (/ 1 x) 1))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (log (+ (/ 1 x) 1)) 1) 1)))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (/ (log (+ (/ 1 x) 1)) (* 2 (sqrt 1))) into (* 1/2 (log (+ (/ 1 x) 1))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 x) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (log (/ 1 x)) 1) 1)))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (/ (log (/ 1 x)) (* 2 (sqrt 1))) into (* 1/2 (log (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]backup-simplify: Simplify (/ (* (exp (* -1 (* n (log x)))) n) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) (sqrt (pow (/ 1 x) (/ 1 (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]backup-simplify: Simplify (/ (* (exp (* -1 (* n (log x)))) n) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* n (log x))))) into (sqrt (exp (* -1 (* n (log x))))) * [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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (* -1 (* n (log x)))))) into (- (sqrt (exp (* -1 (* n (log x)))))) * [misc]backup-simplify: Simplify (+ (sqrt (exp (* -1 (* n (log x))))) (- (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) 0) into (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) 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 (* (sqrt (exp (* -1 (* n (log x))))) n) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]backup-simplify: Simplify (/ (- (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) (pow (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) 2) (+)) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (sqrt (/ 1 (exp (* -1 (* n (log x)))))) (- (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sqrt (/ 1 (exp (* -1 (* n (log x)))))) (- (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))))) 0) into (- (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) (* 1/4 (* (sqrt (exp (* -1 (* n (log x))))) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) (* 1/4 (* (sqrt (exp (* -1 (* n (log x))))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [misc]taylor: Taking taylor expansion of (pow n 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 (* 1/4 (* (sqrt (exp (* -1 (* n (log x))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) n) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 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 (+ (* 1 1) (* (* -1/2 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (log x)))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (- (* 1/2 n)) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (- (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) (+ (* 2 (* (* 1/2 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/2 (* (sqrt (/ 1 (exp (* -1 (* n (log x)))))) (- (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))))))))) (* 2 (sqrt (exp (* -1 (* n (log x))))))) into (* 1/2 (* (- (+ (* 1/24 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2)))) (sqrt (/ 1 (exp (* -1 (* n (log x)))))))) * [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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (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 (exp (* -1 (* n (log x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (- (+ (* 1/24 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/4 (* (exp (* -1 (* n (log x)))) (pow n 2)))) (sqrt (/ 1 (exp (* -1 (* n (log x)))))))) 0) into (- (+ (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)))) (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)))) (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (sqrt (exp (* -1 (* n (log x))))) n)) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) n) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [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 (* 1/48 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/48 in n * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1/8 (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* -1 (* n (log x))))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (* 2 (sqrt 1))) into (* -1/2 (log x)) * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1/2 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow (log x) 2)) (pow (* -1/2 (log x)) 2) (+)) (* 2 1)) into (* 1/8 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (* -1/2 (log x)) 1) (* (* 1/8 (pow (log x) 2)) 0))) into (- (* 1/2 (log x))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/2 (log x)))) (+ (* 0 1) (* 0 0))) into (- (* 1/4 (log x))) * [misc]backup-simplify: Simplify (- (* 1/4 (log x))) into (- (* 1/4 (log x))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (log (/ 1 x)))) (* (pow (/ 1 n) 2) (/ 1 x))) (+ (* -1/4 (* (/ 1 n) (pow (/ 1 x) 2))) (* 1/2 (* (/ 1 n) (/ 1 x))))) into (- (* 1/2 (/ 1 (* x n))) (+ (* 1/4 (/ (log (/ 1 x)) (* x (pow n 2)))) (* 1/4 (/ 1 (* (pow x 2) n))))) * [misc]approximate: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ -1 x) 1) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 x)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1 (log (- 1 (/ 1 x)))) 1) 1)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (* -1 (log (- 1 (/ 1 x)))) (* 2 (sqrt 1))) into (* -1/2 (log (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1 (log (/ -1 x))) 1) 1)))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (/ (* -1 (log (/ -1 x))) (* 2 (sqrt 1))) into (* -1/2 (log (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (* n (exp (* -1 (* (- (log -1) (log x)) n)))) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (* n (exp (* -1 (* (- (log -1) (log x)) n)))) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) into (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) into (- (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) * [misc]backup-simplify: Simplify (+ (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) (- (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) 0) into (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/2 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (- (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) (pow (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) 2) (+)) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) 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 (/ 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) n))))))) 0) into (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/4 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/4 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of (pow n 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 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]taylor: Taking taylor expansion of (* 1/4 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (- (log x) (log -1)))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x)))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (* 1/2 n) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (- (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) (+ (* 2 (* (* 1/2 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) n))))))))))) (* 2 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/24 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) 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 (- 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 (/ (+ (* 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) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) 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 (exp (* -1 (* (- (log -1) (log x)) n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (+ (* 1/4 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/24 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) (sqrt (/ 1 (exp (* -1 (* (- (log -1) (log x)) n))))))) 0) into (+ (* 1/48 (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/48 (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/48 (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/48 in n * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (sqrt (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of (pow n 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 (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* n (sqrt (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (sqrt (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (* 2 (sqrt 1))) into (* 1/2 (- (log x) (log -1))) * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (- (log x) (log -1)))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify 1/4 into 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 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (/ (- (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) (pow (* 1/2 (- (log x) (log -1))) 2) (+)) (* 2 1)) into (* 1/2 (- (+ (* 1/4 (pow (log x) 2)) (* 1/4 (pow (log -1) 2))) (* 1/2 (* (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/2 (- (+ (* 1/4 (pow (log x) 2)) (* 1/4 (pow (log -1) 2))) (* 1/2 (* (log -1) (log x)))))) (+ (* 1 (* 1/2 (- (log x) (log -1)))) (* 0 1))) into (- (* 1/2 (log x)) (* 1/2 (log -1))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/2 (log x)) (* 1/2 (log -1)))) (+ (* 0 1) (* 0 0))) into (- (* 1/4 (log x)) (* 1/4 (log -1))) * [misc]backup-simplify: Simplify (- (* 1/4 (log x)) (* 1/4 (log -1))) into (- (* 1/4 (log x)) (* 1/4 (log -1))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (log (/ 1 (- x)))) (* 1/4 (log -1))) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) (+ (* 1/4 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (* 1/2 (* (/ 1 (- n)) (/ 1 (- x)))))) into (- (+ (* 1/4 (/ (log -1) (* x (pow n 2)))) (* 1/2 (/ 1 (* x n)))) (+ (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/4 (/ (log (/ -1 x)) (* x (pow n 2)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) 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 (log (+ x 1)) in n * [misc]taylor: Taking taylor expansion of (+ x 1) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 1) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ x 1))) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (+ x 1)))) into (exp (/ (log (+ x 1)) n)) * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) -1/2) (+ (* 0 1) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/2 (/ 1 (pow n 2))) 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 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) 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 1 into 1 * [misc]approximate: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 x) 1) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ (/ 1 x) 1))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow n 2)) (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) 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 (pow n 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 (* 1/2 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 n) (/ 1 x))) (+ (* (* -1 (log (/ 1 x))) (* (/ 1 n) 1)) 1)) into (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ -1 x) 1) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 x)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [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 (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) 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]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -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)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 n) (* 1/2 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) 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 (pow n 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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 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 x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)) 1)) into (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sqrt (pow (+ x 1) (/ 1 n)))) (exp (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (log (exp (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))))) * * * * [misc]progress: [ 2 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n)))))))))) * [enter]simplify: Simplifying (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n)))))))))) * * * * [misc]progress: [ 13 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n)))))))))) * [enter]simplify: Simplifying (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n)))))))))) * * * * [misc]progress: [ 14 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))))) * * * * [misc]progress: [ 15 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))))) * * * * [misc]progress: [ 16 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))))) * * * * [misc]progress: [ 17 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))))) * * * * [misc]progress: [ 18 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* 1 (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))))))) * [enter]simplify: Simplifying (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* 1 (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))))))) * * * * [misc]progress: [ 19 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (* 1 (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))))))) * * * * [misc]progress: [ 20 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sqrt (pow (+ x 1) (/ 1 n)))) (exp (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (log (exp (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 22 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n)))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n)))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 33 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n)))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n)))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 34 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 35 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 36 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 37 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n)))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 38 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* 1 (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* 1 (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 39 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (* 1 (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 40 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sqrt (pow (+ x 1) (/ 1 n)))) (exp (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (log (exp (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 42 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 53 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* (+ (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* (+ (sqrt (pow (sqrt (+ x 1)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (pow (sqrt (+ 1 x)) (/ 1 n))) (sqrt (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 54 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 55 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 56 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 57 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* (+ (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* (+ (sqrt (sqrt (pow (+ x 1) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))) (- (sqrt (sqrt (pow (+ 1 x) (/ 1 n)))) (sqrt (sqrt (pow x (/ 1 n))))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 58 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* 1 (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* 1 (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 59 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (* 1 (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 60 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ x 1)) (/ 1 n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (log (+ 1 x)) n) * [misc]simplify: Simplified (2 2 2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (exp (/ (log (+ 1 x)) n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 62 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 2 2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ 1 x) (* 1 (/ 1 n)))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 64 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 n)) * [misc]simplify: Simplified (2 2 2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (pow (+ x 1) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n)))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 65 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 n)) * [misc]simplify: Simplified (2 2 2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (pow (+ x 1) (sqrt (/ 1 n))) (sqrt (/ 1 n)))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 66 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 2 2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (pow (+ x 1) 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 67 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 2 2 1 1 1 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (pow (+ x 1) 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 68 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) * [misc]simplify: Simplified (2 2 2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (* (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 69 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ x 1)) (/ 1 n)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ 1 x)) (/ 1 n)) * [misc]simplify: Simplified (2 2 2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (* (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 70 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (* 1 (pow (+ x 1) (/ 1 n)))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 71 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (sqrt (exp (/ (log x) n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- 1 (sqrt (exp (/ (log x) n)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- 1 (sqrt (exp (/ (log x) n)))))))) * * * * [misc]progress: [ 79 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* x n))) (+ (* 1/4 (/ (log (/ 1 x)) (* x (pow n 2)))) (* 1/4 (/ 1 (* (pow x 2) n))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))))) * * * * [misc]progress: [ 80 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (/ (log -1) (* x (pow n 2)))) (* 1/2 (/ 1 (* x n)))) (+ (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/4 (/ (log (/ -1 x)) (* x (pow n 2)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (- (* (/ (/ 1/4 n) (* x n)) (- (log -1) (log (/ -1 x)))) (- (/ (/ 1/4 x) (* x n)) (/ (/ 1/2 x) n))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (* (/ (/ 1/4 n) (* x n)) (- (log -1) (log (/ -1 x)))) (- (/ (/ 1/4 x) (* x n)) (/ (/ 1/2 x) n))))))) * * * * [misc]progress: [ 81 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (sqrt (exp (/ (log x) n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- 1 (sqrt (exp (/ (log x) n)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- 1 (sqrt (exp (/ (log x) n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 82 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* x n))) (+ (* 1/4 (/ (log (/ 1 x)) (* x (pow n 2)))) (* 1/4 (/ 1 (* (pow x 2) n))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 83 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (/ (log -1) (* x (pow n 2)))) (* 1/2 (/ 1 (* x n)))) (+ (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/4 (/ (log (/ -1 x)) (* x (pow n 2)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (- (* (/ (/ 1/4 n) (* x n)) (- (log -1) (log (/ -1 x)))) (- (/ (/ 1/4 x) (* x n)) (/ (/ 1/2 x) n))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (* (/ (/ 1/4 n) (* x n)) (- (log -1) (log (/ -1 x)))) (- (/ (/ 1/4 x) (* x n)) (/ (/ 1/2 x) n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 84 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (sqrt (exp (/ (log x) n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- 1 (sqrt (exp (/ (log x) n)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- 1 (sqrt (exp (/ (log x) n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 85 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* x n))) (+ (* 1/4 (/ (log (/ 1 x)) (* x (pow n 2)))) (* 1/4 (/ 1 (* (pow x 2) n))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (* (/ (log x) (* x n)) (/ 1/4 n)) (- (/ (/ 1/4 x) (* x n)) (/ 1/2 (* x n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 86 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (/ (log -1) (* x (pow n 2)))) (* 1/2 (/ 1 (* x n)))) (+ (* 1/4 (/ 1 (* (pow x 2) n))) (* 1/4 (/ (log (/ -1 x)) (* x (pow n 2)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (- (* (/ (/ 1/4 n) (* x n)) (- (log -1) (log (/ -1 x)))) (- (/ (/ 1/4 x) (* x n)) (/ (/ 1/2 x) n))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (* (/ (/ 1/4 n) (* x n)) (- (log -1) (log (/ -1 x)))) (- (/ (/ 1/4 x) (* x n)) (/ (/ 1/2 x) n)))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 87 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt 1) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 88 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (+ (/ (log x) n) (/ 1 (* n x))) 1) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (+ (+ (/ (log x) n) (/ 1 (* n x))) 1)) (sqrt (pow x (/ 1 n)))))))) * * * * [misc]progress: [ 89 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (* (* (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))) (cbrt (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) (cbrt (- (sqrt (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n)))) (sqrt (pow x (/ 1 n)))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # # # # # # #) * * * [misc]regime-changes: Trying 3 branch expressions: (n (/ 1 n) x) * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (/ 1 n) from (# # # # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (/ 1 n) from (# # # # #) * * * * [misc]regimes: Trying to branch on x from (# # # # # # # # # # # # # # # #) * * * [misc]regime: Found split indices: #