* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [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 (+ 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 (* (/ 1 n) (log (+ x 1)))) into (exp (/ (log (+ 1 x)) 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]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 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]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]backup-simplify: Simplify (/ 1 1) into 1 * [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 (/ 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 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 (/ 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 (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]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 (* 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 (* 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]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 (* n x)) (+ (* 1/2 (/ 1 (* n (pow x 2)))) (/ (log (/ 1 x)) (* (pow n 2) x)))) * [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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (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]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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (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]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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (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]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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (- (exp (* -1 (* n (- (log -1) (log x)))))) into (- (exp (* -1 (* n (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (+ (exp (* -1 (* n (- (log -1) (log x))))) (- (exp (* -1 (* n (- (log -1) (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) 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 (* n (- (log -1) (log x))))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* n (- (log -1) (log x)))))) * [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 (* n (- (log -1) (log x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* n (exp (* -1 (* n (- (log -1) (log x)))))) 0) into (* n (exp (* -1 (* n (- (log -1) (log x)))))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* n (- (log -1) (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 (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* n (- (log -1) (log x))))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* n (- (log -1) (log 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 (/ 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 (* n (- (log -1) (log x))))) (+ (* (/ (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 (* n (- (log -1) (log x)))))) 0) into (+ (* 1/2 (* (pow n 2) (exp (* -1 (* n (- (log -1) (log x))))))) (* 1/2 (* n (exp (* -1 (* n (- (log -1) (log x)))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (pow n 2) (exp (* -1 (* n (- (log -1) (log x))))))) (* 1/2 (* n (exp (* -1 (* n (- (log -1) (log x)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (exp (* -1 (* n (- (log -1) (log x))))))) 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 (* n (- (log -1) (log x)))))) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* n (- (log -1) (log x))))))) 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 (* n (- (log -1) (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 (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* n (- (log -1) (log x))))) (+ (* (/ (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 (* n (- (log -1) (log 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 (- 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 (* n (- (log -1) (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 (+ (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* n (- (log -1) (log x)))))) 0) into (+ (* 1/6 (* (pow n 3) (exp (* -1 (* n (- (log -1) (log x))))))) (+ (* 1/2 (* (pow n 2) (exp (* -1 (* n (- (log -1) (log x))))))) (* 1/3 (* n (exp (* -1 (* n (- (log -1) (log x))))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (pow n 3) (exp (* -1 (* n (- (log -1) (log x))))))) (+ (* 1/2 (* (pow n 2) (exp (* -1 (* n (- (log -1) (log x))))))) (* 1/3 (* n (exp (* -1 (* n (- (log -1) (log x))))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow n 3) (exp (* -1 (* n (- (log -1) (log x))))))) 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 (* n (- (log -1) (log x)))))) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* (pow n 2) (exp (* -1 (* n (- (log -1) (log x))))))) (* 1/3 (* n (exp (* -1 (* n (- (log -1) (log x)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (exp (* -1 (* n (- (log -1) (log x))))))) 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 (* n (- (log -1) (log x)))))) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* n (- (log -1) (log x))))))) 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 (* n (- (log -1) (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 (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (+ (* 0 0) (+ (* 1 0) (* 0 (- (log -1) (log x))))) 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) (* (pow n 2) x)) (/ 1 (* n x))) (+ (/ (log (/ -1 x)) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 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 (+ 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 (* (/ 1 n) (log (+ x 1)))) into (exp (/ (log (+ 1 x)) 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]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 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]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]backup-simplify: Simplify (/ 1 1) into 1 * [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 (/ 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 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 (/ 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 (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]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 (* 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 (* n x))) (/ (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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (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]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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* n (- (log -1) (log x))))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* n (- (log -1) (log x)))))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* n (- (log -1) (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 (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* n (- (log -1) (log x))))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* n (- (log -1) (log x)))))) * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* n (- (log -1) (log x)))))) 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 (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (- (+ 1 (+ (/ (log -1) n) (/ 1 (* n x)))) (/ (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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (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]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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* n (- (log -1) (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) (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 (* n (- (log -1) (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 -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 (+ (* 0 0) (+ (* 1 0) (* 0 (- (log -1) (log x))))) 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 (- (+ (* 1/2 (/ (pow (log -1) 2) (pow n 2))) (+ 1 (+ (/ (log -1) n) (* 1/2 (/ (pow (log (/ -1 x)) 2) (pow n 2)))))) (+ (/ (* (log (/ -1 x)) (log -1)) (pow n 2)) (/ (log (/ -1 x)) n))) * * * [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)))) * [exit]simplify: Simplified to (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 2 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (log (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 4 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 5 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (cbrt (- (pow (+ x 1) (/ 1 n)) (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 (* (cbrt (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (cbrt (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))))) * [exit]simplify: Simplified to (* (cbrt (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) (cbrt (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))))) * [enter]simplify: Simplifying (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (cbrt (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 6 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (pow (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) 3) * [exit]simplify: Simplified to (pow (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) 3) * * * * [misc]progress: [ 7 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (sqrt (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * [enter]simplify: Simplifying (sqrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (sqrt (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 8 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (/ 1 n)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (- (pow (pow (+ 1 x) (/ 1 n)) 3) (pow (pow x (/ 1 n)) 3)) * [exit]simplify: Simplified to (- (pow (pow (+ 1 x) (/ 1 n)) 3) (pow (pow x (/ 1 n)) 3)) * [enter]simplify: Simplifying (+ (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (+ (* (pow x (/ 1 n)) (pow x (/ 1 n))) (* (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (+ (* (pow x (/ 1 n)) (pow x (/ 1 n))) (* (pow (+ 1 x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))))) * [exit]simplify: Simplified to (+ (* (pow x (/ 1 n)) (pow x (/ 1 n))) (* (pow (+ 1 x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))))) * * * * [misc]progress: [ 9 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (pow x (/ 1 n))) * [exit]simplify: Simplified to (- (pow x (/ 1 n))) * * * * [misc]progress: [ 10 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (* (pow x (/ 1 n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (* (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * [enter]simplify: Simplifying (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (pow x (/ 1 n)) (pow (+ 1 x) (/ 1 n))) * [exit]simplify: Simplified to (+ (pow x (/ 1 n)) (pow (+ 1 x) (/ 1 n))) * * * * [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))) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (pow (sqrt (+ 1 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)))) * [exit]simplify: Simplified to (- (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)))) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (sqrt (pow (+ 1 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)))) * [exit]simplify: Simplified to (- (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))) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * * * * [misc]progress: [ 15 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (pow x (/ 1 n))) * [exit]simplify: Simplified to (- (pow x (/ 1 n))) * * * * [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 (26 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (log (+ 1 x)) n) * [exit]simplify: Simplified to (/ (log (+ 1 x)) n) * * * * [misc]progress: [ 17 / 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 (26 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (log (+ 1 x)) n) * [exit]simplify: Simplified to (/ (log (+ 1 x)) n) * * * * [misc]progress: [ 18 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ 1 n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 1 n) * [exit]simplify: Simplified to (/ 1 n) * * * * [misc]progress: [ 19 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ x 1) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (+ 1 x) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) * [exit]simplify: Simplified to (pow (+ 1 x) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) * * * * [misc]progress: [ 20 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ x 1) (sqrt (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (+ 1 x) (sqrt (/ 1 n))) * [exit]simplify: Simplified to (pow (+ 1 x) (sqrt (/ 1 n))) * * * * [misc]progress: [ 21 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ x 1) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 x) * [exit]simplify: Simplified to (+ 1 x) * * * * [misc]progress: [ 22 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ x 1) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 x) * [exit]simplify: Simplified to (+ 1 x) * * * * [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)) * [exit]simplify: Simplified to (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) * [enter]simplify: Simplifying (pow (cbrt (+ x 1)) (/ 1 n)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (cbrt (+ 1 x)) (/ 1 n)) * [exit]simplify: Simplified to (pow (cbrt (+ 1 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)) * [exit]simplify: Simplified to (pow (sqrt (+ 1 x)) (/ 1 n)) * [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)) * [exit]simplify: Simplified to (pow (sqrt (+ 1 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (+ x 1) (/ 1 n)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (pow (+ 1 x) (/ 1 n)) * [exit]simplify: Simplified to (pow (+ 1 x) (/ 1 n)) * * * * [misc]progress: [ 26 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (+ x 1) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (log (+ 1 x)) n) * [exit]simplify: Simplified to (/ (log (+ 1 x)) n) * * * * [misc]progress: [ 28 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (+ x 1) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (exp (pow (+ 1 x) (/ 1 n))) * [exit]simplify: Simplified to (exp (pow (+ 1 x) (/ 1 n))) * * * * [misc]progress: [ 29 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (+ 1 x) (/ 1 n))) (cbrt (pow (+ 1 x) (/ 1 n)))) * [exit]simplify: Simplified to (* (cbrt (pow (+ 1 x) (/ 1 n))) (cbrt (pow (+ 1 x) (/ 1 n)))) * [enter]simplify: Simplifying (cbrt (pow (+ x 1) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (pow (+ 1 x) (/ 1 n))) * [exit]simplify: Simplified to (cbrt (pow (+ 1 x) (/ 1 n))) * * * * [misc]progress: [ 30 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow (+ x 1) (/ 1 n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (pow (+ 1 x) (/ 1 n)) 3) * [exit]simplify: Simplified to (pow (pow (+ 1 x) (/ 1 n)) 3) * * * * [misc]progress: [ 31 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (+ x 1) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ 1 x) (/ 1 n))) * [exit]simplify: Simplified to (sqrt (pow (+ 1 x) (/ 1 n))) * [enter]simplify: Simplifying (sqrt (pow (+ x 1) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ 1 x) (/ 1 n))) * [exit]simplify: Simplified to (sqrt (pow (+ 1 x) (/ 1 n))) * * * * [misc]progress: [ 32 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log x) (/ 1 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (log x) n) * [exit]simplify: Simplified to (/ (log x) n) * * * * [misc]progress: [ 34 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (pow x (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (pow x (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) * [exit]simplify: Simplified to (pow x (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) * * * * [misc]progress: [ 35 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (pow x (sqrt (/ 1 n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (pow x (sqrt (/ 1 n))) * [exit]simplify: Simplified to (pow x (sqrt (/ 1 n))) * * * * [misc]progress: [ 36 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (pow x 1) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 37 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (pow x 1) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 38 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow x (/ 1 n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (log x) n) * [exit]simplify: Simplified to (/ (log x) n) * * * * [misc]progress: [ 40 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow x (/ 1 n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (pow x (/ 1 n))) * [exit]simplify: Simplified to (exp (pow x (/ 1 n))) * * * * [misc]progress: [ 41 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) * [exit]simplify: Simplified to (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) * [enter]simplify: Simplifying (cbrt (pow x (/ 1 n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (pow x (/ 1 n))) * [exit]simplify: Simplified to (cbrt (pow x (/ 1 n))) * * * * [misc]progress: [ 42 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow x (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (pow x (/ 1 n)) 3) * [exit]simplify: Simplified to (pow (pow x (/ 1 n)) 3) * * * * [misc]progress: [ 43 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow x (/ 1 n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow x (/ 1 n))) * [exit]simplify: Simplified to (sqrt (pow x (/ 1 n))) * [enter]simplify: Simplifying (sqrt (pow x (/ 1 n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow x (/ 1 n))) * [exit]simplify: Simplified to (sqrt (pow x (/ 1 n))) * * * * [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]progress: [ 46 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* n x)) (+ (* 1/2 (/ 1 (* n (pow x 2)))) (/ (log (/ 1 x)) (* (pow n 2) x)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (+ (- (/ 1 (* x n)) (/ (/ 1/2 x) (* x n))) (/ (log x) (* (* n n) x))) * * * * [misc]progress: [ 47 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) (* (pow n 2) x)) (/ 1 (* n x))) (+ (/ (log (/ -1 x)) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * * * * [misc]progress: [ 48 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- 1 (pow x (/ 1 n))) * * * * [misc]progress: [ 49 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ 1 (/ 1 (* n x))) (/ (log (/ 1 x)) n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (+ (- 1 (pow x (/ 1 n))) (+ (/ 1 (* x n)) (/ (log x) n))) * * * * [misc]progress: [ 50 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ 1 (+ (/ (log -1) n) (/ 1 (* n x)))) (/ (log (/ -1 x)) n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (+ (+ 1 (/ (/ 1 n) x)) (+ 0 (- (/ (log x) n) (pow x (/ 1 n))))) * * * * [misc]progress: [ 51 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) 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 (+ 1 x) (/ 1 n)) (exp (/ (log x) n))) * * * * [misc]progress: [ 52 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (+ x 1) (/ 1 n)) (- (+ (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) 1) (/ (log (/ 1 x)) n))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (- (- (- (pow (+ 1 x) (/ 1 n)) 1) (/ (* (log x) (/ 1/2 n)) (/ n (log x)))) (/ (log x) n)) * * * * [misc]progress: [ 53 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (+ x 1) (/ 1 n)) (- (+ (* 1/2 (/ (pow (log -1) 2) (pow n 2))) (+ 1 (+ (/ (log -1) n) (* 1/2 (/ (pow (log (/ -1 x)) 2) (pow n 2)))))) (+ (/ (* (log (/ -1 x)) (log -1)) (pow n 2)) (/ (log (/ -1 x)) n)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (- (- (- (pow (+ 1 x) (/ 1 n)) (* (/ 1/2 (* n n)) (* (log -1) (log -1)))) (+ 1 (/ (log -1) n))) (- (* (/ 1/2 (* n n)) (* (log (/ -1 x)) (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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) in n * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 x) (/ 1 n)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 x) (/ 1 n)) 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 x) (/ 1 n)) 3))) 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 (log (pow (pow (+ 1 x) (/ 1 n)) 3)) in n * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 x) (/ 1 n)) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 x) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 x) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 x) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 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 (+ 1 x)) in n * [misc]taylor: Taking taylor expansion of (+ 1 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 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 (* (/ 1 n) (log (+ 1 x)))) into (exp (/ (log (+ 1 x)) n)) * [misc]backup-simplify: Simplify (log (exp (/ (log (+ 1 x)) n))) into (/ (log (+ 1 x)) n) * [misc]backup-simplify: Simplify (* 3 (/ (log (+ 1 x)) n)) into (* 3 (/ (log (+ 1 x)) n)) * [misc]backup-simplify: Simplify (exp (* 3 (/ (log (+ 1 x)) n))) into (exp (* 3 (/ (log (+ 1 x)) n))) * [misc]backup-simplify: Simplify (log (exp (* 3 (/ (log (+ 1 x)) n)))) into (* 3 (/ (log (+ 1 x)) n)) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (/ (log (+ 1 x)) n))) into (/ (log (+ 1 x)) n) * [misc]backup-simplify: Simplify (exp (/ (log (+ 1 x)) n)) into (exp (/ (log (+ 1 x)) 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 (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 x) (/ 1 n)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 x) (/ 1 n)) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 x) (/ 1 n)) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ 1 x) (/ 1 n)) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 x) (/ 1 n)) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 x) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 x) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 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 (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) 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 (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 n)) (* 0 0)) into (* 3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 3 (/ 1 n)) 1) 1)))) into (/ 3 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 3 n)) 1)) (pow 1 1)))) 1) into (/ 3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 3 n)) (* 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 (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 x) (/ 1 n)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 x) (/ 1 n)) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 x) (/ 1 n)) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ 1 x) (/ 1 n)) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 x) (/ 1 n)) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 x) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 x) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 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 (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) 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 (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 n)) (* 0 0)) into (* 3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 3 (/ 1 n)) 1) 1)))) into (/ 3 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 3 n)) 1)) (pow 1 1)))) 1) into (/ 3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 3 n)) (* 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 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) 1)) (pow 1 1)))) 2) into (/ -1/2 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1/2 n)) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 3/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 3/2 (/ 1 n))) 1) 1)))) into (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 3 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) 1)) (pow 1 1)))) 2) into (/ -3/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -3/2 n)) (+ (* 0 (/ 3 n)) (* 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]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 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 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) 1)) (pow 1 1)))) 6) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/3 n)) (+ (* 0 (/ -1/2 n)) (+ (* 0 (/ 1 n)) (* 0 0)))) into (/ 1 n) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 3 (/ 1 n)) 3) 6)) (* (/ (pow (* 3 (/ 1 n)) 1) 1) (/ (pow (- (* 3/2 (/ 1 n))) 1) 1)) (* (/ (pow (/ 1 n) 1) 1)))) into (- (+ (* 9/2 (/ 1 (pow n 3))) (/ 1 n)) (* 9/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 3 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 3 n)) 1) (pow (* 2 (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 9/2 (/ 1 (pow n 3))) (/ 1 n)) (* 9/2 (/ 1 (pow n 2))))) 1)) (pow 1 1)))) 6) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (+ (* 0 (/ -3/2 n)) (+ (* 0 (/ 3 n)) (* 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]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]backup-simplify: Simplify (/ 1 1) into 1 * [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 (/ 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 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 (- (cbrt (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) (pow (/ 1 x) (/ 1 (/ 1 n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (cbrt (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) (pow (/ 1 x) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) in n * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3))) 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 (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) in n * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 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 (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 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 (/ 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 (/ 1 x)) 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 (log (+ 1 (/ 1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (log (+ 1 (/ 1 x))) 1) 1)))) into (log (+ 1 (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (log (+ 1 (/ 1 x)))) 1)) (pow 1 1)))) 1) into (log (+ 1 (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* 3 (log (+ 1 (/ 1 x)))) (* 0 0)) into (* 3 (log (+ 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 3 (log (+ 1 (/ 1 x)))) 1) 1)))) into (* 3 (log (+ 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 3 (log (+ 1 (/ 1 x))))) 1)) (pow 1 1)))) 1) into (* 3 (log (+ 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 3 (log (+ 1 (/ 1 x))))) (* 0 0)) into (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]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 (- (cbrt (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 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 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 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 (log (exp (* -1 (* n (log x))))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (* 3 (* -1 (* n (log x)))) into (* -3 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -3 (* n (log x)))) into (exp (* -3 (* n (log x)))) * [misc]backup-simplify: Simplify (log (exp (* -3 (* n (log x))))) into (* -3 (* n (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* -3 (* 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 (- (cbrt (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 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 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 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 (log (exp (* -1 (* n (log x))))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (* 3 (* -1 (* n (log x)))) into (* -3 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -3 (* n (log x)))) into (exp (* -3 (* n (log x)))) * [misc]backup-simplify: Simplify (log (exp (* -3 (* n (log x))))) into (* -3 (* n (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* -3 (* 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 (+ 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 (- (+ (* 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 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 1)) (pow (exp (* -1 (* n (log x)))) 1)))) 1) into n * [misc]backup-simplify: Simplify (+ (* 3 n) (* 0 (* -1 (* n (log x))))) into (* 3 n) * [misc]backup-simplify: Simplify (* (exp (* -3 (* n (log x)))) (+ (* (/ (pow (* 3 n) 1) 1)))) into (* 3 (* n (exp (* -3 (* n (log x)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 3 (* n (exp (* -3 (* n (log x))))))) 1)) (pow (exp (* -3 (* n (log x)))) 1)))) 1) into (* 3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 3 n)) (* 0 (* -3 (* n (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 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 2)) (pow (exp (* -1 (* n (log x)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n)))) 1)) (pow (exp (* -1 (* n (log x)))) 1)))) 2) into (* -1/2 n) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 n)) (+ (* 0 n) (* 0 (* -1 (* n (log x)))))) into (- (* 3/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -3 (* n (log x)))) (+ (* (/ (pow (* 3 n) 2) 2)) (* (/ (pow (- (* 3/2 n)) 1) 1)))) into (* (- (* 9/2 (pow n 2)) (* 3/2 n)) (exp (* -3 (* n (log x))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 3 (* n (exp (* -3 (* n (log x))))))) 2)) (pow (exp (* -3 (* n (log x)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- (* 9/2 (pow n 2)) (* 3/2 n)) (exp (* -3 (* n (log x)))))) 1)) (pow (exp (* -3 (* n (log x)))) 1)))) 2) into (* -3/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3/2 n)) (+ (* 0 (* 3 n)) (* 0 (* -3 (* n (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 (* 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 (/ (+ (* 2 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 3)) (pow (exp (* -1 (* n (log x)))) 3))) (* -3 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 1) (pow (* 2 (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n)))) 1)) (pow (exp (* -1 (* n (log x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2))))) 1)) (pow (exp (* -1 (* n (log x)))) 1)))) 6) into (* 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/3 n)) (+ (* 0 (* -1/2 n)) (+ (* 0 n) (* 0 (* -1 (* n (log x))))))) into n * [misc]backup-simplify: Simplify (* (exp (* -3 (* n (log x)))) (+ (* (/ (pow (* 3 n) 3) 6)) (* (/ (pow (* 3 n) 1) 1) (/ (pow (- (* 3/2 n)) 1) 1)) (* (/ (pow n 1) 1)))) into (* (- (+ n (* 9/2 (pow n 3))) (* 9/2 (pow n 2))) (exp (* -3 (* n (log x))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 3 (* n (exp (* -3 (* n (log x))))))) 3)) (pow (exp (* -3 (* n (log x)))) 3))) (* -3 (/ (* (pow (* 1 (* 3 (* n (exp (* -3 (* n (log x))))))) 1) (pow (* 2 (* (- (* 9/2 (pow n 2)) (* 3/2 n)) (exp (* -3 (* n (log x)))))) 1)) (pow (exp (* -3 (* n (log x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (- (+ n (* 9/2 (pow n 3))) (* 9/2 (pow n 2))) (exp (* -3 (* n (log x)))))) 1)) (pow (exp (* -3 (* n (log x)))) 1)))) 6) into n * [misc]backup-simplify: Simplify (+ (* 1/3 n) (+ (* 0 (* -3/2 n)) (+ (* 0 (* 3 n)) (* 0 (* -3 (* n (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 (* 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]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 (* n x)) (+ (* 1/2 (/ 1 (* n (pow x 2)))) (/ (log (/ 1 x)) (* (pow n 2) x)))) * [misc]approximate: Taking taylor expansion of (- (cbrt (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (cbrt (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) in n * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3))) 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 (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) in n * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 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 (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- 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 (/ 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 (/ -1 x)) 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 (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [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 (/ (* (pow (* 1 (* -1 (log (- 1 (/ 1 x))))) 1)) (pow 1 1)))) 1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1 (log (- 1 (/ 1 x))))) (* 0 0)) into (- (* 3 (log (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 3 (log (- 1 (/ 1 x))))) 1) 1)))) into (* -3 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -3 (log (- 1 (/ 1 x))))) 1)) (pow 1 1)))) 1) into (* -3 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3 (log (- 1 (/ 1 x))))) (* 0 0)) into (- (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 (- (cbrt (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 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 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 -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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* n (- (log -1) (log x)))))) into (* -1 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* 3 (* -1 (* n (- (log -1) (log x))))) into (* -3 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -3 (* n (- (log -1) (log x))))) into (exp (* -3 (* n (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (log (exp (* -3 (* n (- (log -1) (log x)))))) into (* -3 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (* -3 (* n (- (log -1) (log x))))) into (* -1 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (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]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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of (- (cbrt (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 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 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 -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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* n (- (log -1) (log x)))))) into (* -1 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* 3 (* -1 (* n (- (log -1) (log x))))) into (* -3 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -3 (* n (- (log -1) (log x))))) into (exp (* -3 (* n (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (log (exp (* -3 (* n (- (log -1) (log x)))))) into (* -3 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (* -3 (* n (- (log -1) (log x))))) into (* -1 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (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]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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (- (exp (* -1 (* n (- (log -1) (log x)))))) into (- (exp (* -1 (* n (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (+ (exp (* -1 (* n (- (log -1) (log x))))) (- (exp (* -1 (* n (- (log -1) (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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) 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 (- 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 (* n (- (log -1) (log x))))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* n (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* n (exp (* -1 (* n (- (log -1) (log x))))))) 1)) (pow (exp (* -1 (* n (- (log -1) (log x))))) 1)))) 1) into n * [misc]backup-simplify: Simplify (+ (* 3 n) (* 0 (* -1 (* n (- (log -1) (log x)))))) into (* 3 n) * [misc]backup-simplify: Simplify (* (exp (* -3 (* n (- (log -1) (log x))))) (+ (* (/ (pow (* 3 n) 1) 1)))) into (* 3 (* n (exp (* -3 (* n (- (log -1) (log x))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 3 (* n (exp (* -3 (* n (- (log -1) (log x)))))))) 1)) (pow (exp (* -3 (* n (- (log -1) (log x))))) 1)))) 1) into (* 3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 3 n)) (* 0 (* -3 (* n (- (log -1) (log x)))))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (- (log -1) (log x))))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* n (- (log -1) (log x)))))) * [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 (* n (- (log -1) (log x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* n (exp (* -1 (* n (- (log -1) (log x)))))) 0) into (* n (exp (* -1 (* n (- (log -1) (log x)))))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* n (- (log -1) (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 (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* n (- (log -1) (log x))))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* n (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* n (exp (* -1 (* n (- (log -1) (log x))))))) 2)) (pow (exp (* -1 (* n (- (log -1) (log x))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* n (- (log -1) (log x))))))) 1)) (pow (exp (* -1 (* n (- (log -1) (log x))))) 1)))) 2) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 n)) (+ (* 0 n) (* 0 (* -1 (* n (- (log -1) (log x))))))) into (* 3/2 n) * [misc]backup-simplify: Simplify (* (exp (* -3 (* n (- (log -1) (log x))))) (+ (* (/ (pow (* 3 n) 2) 2)) (* (/ (pow (* 3/2 n) 1) 1)))) into (* (+ (* 3/2 n) (* 9/2 (pow n 2))) (exp (* -3 (* n (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 3 (* n (exp (* -3 (* n (- (log -1) (log x)))))))) 2)) (pow (exp (* -3 (* n (- (log -1) (log x))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (+ (* 3/2 n) (* 9/2 (pow n 2))) (exp (* -3 (* n (- (log -1) (log x))))))) 1)) (pow (exp (* -3 (* n (- (log -1) (log x))))) 1)))) 2) into (* 3/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 3/2 n)) (+ (* 0 (* 3 n)) (* 0 (* -3 (* n (- (log -1) (log x))))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (- (log -1) (log x))))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* n (- (log -1) (log 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 (/ 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 (* n (- (log -1) (log x))))) (+ (* (/ (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 (* n (- (log -1) (log x)))))) 0) into (+ (* 1/2 (* (pow n 2) (exp (* -1 (* n (- (log -1) (log x))))))) (* 1/2 (* n (exp (* -1 (* n (- (log -1) (log x)))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (pow n 2) (exp (* -1 (* n (- (log -1) (log x))))))) (* 1/2 (* n (exp (* -1 (* n (- (log -1) (log x)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (exp (* -1 (* n (- (log -1) (log x))))))) 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 (* n (- (log -1) (log x)))))) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* n (- (log -1) (log x))))))) 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 (* n (- (log -1) (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 (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* n (- (log -1) (log x))))) (+ (* (/ (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 (* n (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* n (exp (* -1 (* n (- (log -1) (log x))))))) 3)) (pow (exp (* -1 (* n (- (log -1) (log x))))) 3))) (* -3 (/ (* (pow (* 1 (* n (exp (* -1 (* n (- (log -1) (log x))))))) 1) (pow (* 2 (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* n (- (log -1) (log x))))))) 1)) (pow (exp (* -1 (* n (- (log -1) (log x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* n (- (log -1) (log x))))))) 1)) (pow (exp (* -1 (* n (- (log -1) (log x))))) 1)))) 6) into (* 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/3 n)) (+ (* 0 (* 1/2 n)) (+ (* 0 n) (* 0 (* -1 (* n (- (log -1) (log x)))))))) into n * [misc]backup-simplify: Simplify (* (exp (* -3 (* n (- (log -1) (log x))))) (+ (* (/ (pow (* 3 n) 3) 6)) (* (/ (pow (* 3 n) 1) 1) (/ (pow (* 3/2 n) 1) 1)) (* (/ (pow n 1) 1)))) into (* (+ n (+ (* 9/2 (pow n 3)) (* 9/2 (pow n 2)))) (exp (* -3 (* n (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 3 (* n (exp (* -3 (* n (- (log -1) (log x)))))))) 3)) (pow (exp (* -3 (* n (- (log -1) (log x))))) 3))) (* -3 (/ (* (pow (* 1 (* 3 (* n (exp (* -3 (* n (- (log -1) (log x)))))))) 1) (pow (* 2 (* (+ (* 3/2 n) (* 9/2 (pow n 2))) (exp (* -3 (* n (- (log -1) (log x))))))) 1)) (pow (exp (* -3 (* n (- (log -1) (log x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (+ n (+ (* 9/2 (pow n 3)) (* 9/2 (pow n 2)))) (exp (* -3 (* n (- (log -1) (log x))))))) 1)) (pow (exp (* -3 (* n (- (log -1) (log x))))) 1)))) 6) into n * [misc]backup-simplify: Simplify (+ (* 1/3 n) (+ (* 0 (* 3/2 n)) (+ (* 0 (* 3 n)) (* 0 (* -3 (* n (- (log -1) (log x)))))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (- (log -1) (log x))))) (+ (* (/ (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 (* n (- (log -1) (log 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 (- 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 (* n (- (log -1) (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 (+ (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* n (- (log -1) (log x)))))) 0) into (+ (* 1/6 (* (pow n 3) (exp (* -1 (* n (- (log -1) (log x))))))) (+ (* 1/2 (* (pow n 2) (exp (* -1 (* n (- (log -1) (log x))))))) (* 1/3 (* n (exp (* -1 (* n (- (log -1) (log x))))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (pow n 3) (exp (* -1 (* n (- (log -1) (log x))))))) (+ (* 1/2 (* (pow n 2) (exp (* -1 (* n (- (log -1) (log x))))))) (* 1/3 (* n (exp (* -1 (* n (- (log -1) (log x))))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow n 3) (exp (* -1 (* n (- (log -1) (log x))))))) 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 (* n (- (log -1) (log x)))))) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* (pow n 2) (exp (* -1 (* n (- (log -1) (log x))))))) (* 1/3 (* n (exp (* -1 (* n (- (log -1) (log x)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (exp (* -1 (* n (- (log -1) (log x))))))) 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 (* n (- (log -1) (log x)))))) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* n (- (log -1) (log x))))))) 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 (* n (- (log -1) (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 (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (+ (* 0 0) (+ (* 1 0) (* 0 (- (log -1) (log x))))) 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) (* (pow n 2) x)) (/ 1 (* n x))) (+ (/ (log (/ -1 x)) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 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 (+ 1 x)) in n * [misc]taylor: Taking taylor expansion of (+ 1 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 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 (* (/ 1 n) (log (+ 1 x)))) into (exp (/ (log (+ 1 x)) n)) * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 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 (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) 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 (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 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 (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) 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 (+ (* (/ 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]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 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]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]backup-simplify: Simplify (/ 1 1) into 1 * [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 (/ 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 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 (/ 1 x)) (/ 1 (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 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 (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 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 (/ 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 (/ 1 x)) 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 (log (+ 1 (/ 1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 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 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 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 (/ 1 x)) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 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 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 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 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 (- (+ (* 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 (* 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 (* n x))) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 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 (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- 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 (/ 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 (/ -1 x)) 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 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 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 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 -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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 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 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 -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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 0) 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 (* n (- (log -1) (log x))))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* n (- (log -1) (log x)))))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* n (- (log -1) (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 (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* n (- (log -1) (log x))))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* n (- (log -1) (log x)))))) * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* n (- (log -1) (log x)))))) 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 (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (- (+ 1 (+ (/ (log -1) n) (/ 1 (* n x)))) (/ (log (/ -1 x)) n)) * * * * [misc]progress: [ 3 / 4 ] 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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (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]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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* n (- (log -1) (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) (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 (* n (- (log -1) (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 -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 (+ (* 0 0) (+ (* 1 0) (* 0 (- (log -1) (log x))))) 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 (- (+ (* 1/2 (/ (pow (log -1) 2) (pow n 2))) (+ 1 (+ (/ (log -1) n) (* 1/2 (/ (pow (log (/ -1 x)) 2) (pow n 2)))))) (+ (/ (* (log (/ -1 x)) (log -1)) (pow n 2)) (/ (log (/ -1 x)) n))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) in n * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 x) (/ 1 n)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 x) (/ 1 n)) 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 x) (/ 1 n)) 3))) 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 (log (pow (pow (+ 1 x) (/ 1 n)) 3)) in n * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 x) (/ 1 n)) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 x) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 x) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 x) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 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 (+ 1 x)) in n * [misc]taylor: Taking taylor expansion of (+ 1 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 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 (* (/ 1 n) (log (+ 1 x)))) into (exp (/ (log (+ 1 x)) n)) * [misc]backup-simplify: Simplify (log (exp (/ (log (+ 1 x)) n))) into (/ (log (+ 1 x)) n) * [misc]backup-simplify: Simplify (* 3 (/ (log (+ 1 x)) n)) into (* 3 (/ (log (+ 1 x)) n)) * [misc]backup-simplify: Simplify (exp (* 3 (/ (log (+ 1 x)) n))) into (exp (* 3 (/ (log (+ 1 x)) n))) * [misc]backup-simplify: Simplify (log (exp (* 3 (/ (log (+ 1 x)) n)))) into (* 3 (/ (log (+ 1 x)) n)) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (/ (log (+ 1 x)) n))) into (/ (log (+ 1 x)) n) * [misc]backup-simplify: Simplify (exp (/ (log (+ 1 x)) n)) into (exp (/ (log (+ 1 x)) n)) * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 x) (/ 1 n)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 x) (/ 1 n)) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 x) (/ 1 n)) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ 1 x) (/ 1 n)) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 x) (/ 1 n)) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 x) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 x) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 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 (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) 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 (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 n)) (* 0 0)) into (* 3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 3 (/ 1 n)) 1) 1)))) into (/ 3 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 3 n)) 1)) (pow 1 1)))) 1) into (/ 3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 3 n)) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 x) (/ 1 n)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 x) (/ 1 n)) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 x) (/ 1 n)) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ 1 x) (/ 1 n)) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 x) (/ 1 n)) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 x) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 x) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 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 (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) 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 (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 n)) (* 0 0)) into (* 3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 3 (/ 1 n)) 1) 1)))) into (/ 3 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 3 n)) 1)) (pow 1 1)))) 1) into (/ 3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 3 n)) (* 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) 1)) (pow 1 1)))) 2) into (/ -1/2 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1/2 n)) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 3/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 3/2 (/ 1 n))) 1) 1)))) into (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 3 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) 1)) (pow 1 1)))) 2) into (/ -3/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -3/2 n)) (+ (* 0 (/ 3 n)) (* 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]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 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]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) 1)) (pow 1 1)))) 6) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 3 (/ 1/3 n)) (+ (* 0 (/ -1/2 n)) (+ (* 0 (/ 1 n)) (* 0 0)))) into (/ 1 n) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 3 (/ 1 n)) 3) 6)) (* (/ (pow (* 3 (/ 1 n)) 1) 1) (/ (pow (- (* 3/2 (/ 1 n))) 1) 1)) (* (/ (pow (/ 1 n) 1) 1)))) into (- (+ (* 9/2 (/ 1 (pow n 3))) (/ 1 n)) (* 9/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 3 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 3 n)) 1) (pow (* 2 (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 9/2 (/ 1 (pow n 3))) (/ 1 n)) (* 9/2 (/ 1 (pow n 2))))) 1)) (pow 1 1)))) 6) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (+ (* 0 (/ -3/2 n)) (+ (* 0 (/ 3 n)) (* 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]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]backup-simplify: Simplify (/ 1 1) into 1 * [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 (/ 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 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 (cbrt (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) in n * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3))) 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 (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) in n * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 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 (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 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 (/ 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 (/ 1 x)) 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 (log (+ 1 (/ 1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (log (+ 1 (/ 1 x))) 1) 1)))) into (log (+ 1 (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (log (+ 1 (/ 1 x)))) 1)) (pow 1 1)))) 1) into (log (+ 1 (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* 3 (log (+ 1 (/ 1 x)))) (* 0 0)) into (* 3 (log (+ 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 3 (log (+ 1 (/ 1 x)))) 1) 1)))) into (* 3 (log (+ 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 3 (log (+ 1 (/ 1 x))))) 1)) (pow 1 1)))) 1) into (* 3 (log (+ 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 3 (log (+ 1 (/ 1 x))))) (* 0 0)) into (log (+ 1 (/ 1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 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 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 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 (log (exp (* -1 (* n (log x))))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (* 3 (* -1 (* n (log x)))) into (* -3 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -3 (* n (log x)))) into (exp (* -3 (* n (log x)))) * [misc]backup-simplify: Simplify (log (exp (* -3 (* n (log x))))) into (* -3 (* n (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* -3 (* 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 (cbrt (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 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 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 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 (log (exp (* -1 (* n (log x))))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (* 3 (* -1 (* n (log x)))) into (* -3 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -3 (* n (log x)))) into (exp (* -3 (* n (log x)))) * [misc]backup-simplify: Simplify (log (exp (* -3 (* n (log x))))) into (* -3 (* n (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* -3 (* 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 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 (- (+ (* 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 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 1)) (pow (exp (* -1 (* n (log x)))) 1)))) 1) into n * [misc]backup-simplify: Simplify (+ (* 3 n) (* 0 (* -1 (* n (log x))))) into (* 3 n) * [misc]backup-simplify: Simplify (* (exp (* -3 (* n (log x)))) (+ (* (/ (pow (* 3 n) 1) 1)))) into (* 3 (* n (exp (* -3 (* n (log x)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 3 (* n (exp (* -3 (* n (log x))))))) 1)) (pow (exp (* -3 (* n (log x)))) 1)))) 1) into (* 3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 3 n)) (* 0 (* -3 (* n (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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 2)) (pow (exp (* -1 (* n (log x)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n)))) 1)) (pow (exp (* -1 (* n (log x)))) 1)))) 2) into (* -1/2 n) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 n)) (+ (* 0 n) (* 0 (* -1 (* n (log x)))))) into (- (* 3/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -3 (* n (log x)))) (+ (* (/ (pow (* 3 n) 2) 2)) (* (/ (pow (- (* 3/2 n)) 1) 1)))) into (* (- (* 9/2 (pow n 2)) (* 3/2 n)) (exp (* -3 (* n (log x))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 3 (* n (exp (* -3 (* n (log x))))))) 2)) (pow (exp (* -3 (* n (log x)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- (* 9/2 (pow n 2)) (* 3/2 n)) (exp (* -3 (* n (log x)))))) 1)) (pow (exp (* -3 (* n (log x)))) 1)))) 2) into (* -3/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3/2 n)) (+ (* 0 (* 3 n)) (* 0 (* -3 (* n (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 (* 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 (* n x))) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (cbrt (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) in n * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3))) 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 (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) in n * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of 3 in n * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 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 (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- 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 (/ 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 (/ -1 x)) 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 (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [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 (/ (* (pow (* 1 (* -1 (log (- 1 (/ 1 x))))) 1)) (pow 1 1)))) 1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1 (log (- 1 (/ 1 x))))) (* 0 0)) into (- (* 3 (log (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 3 (log (- 1 (/ 1 x))))) 1) 1)))) into (* -3 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -3 (log (- 1 (/ 1 x))))) 1)) (pow 1 1)))) 1) into (* -3 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3 (log (- 1 (/ 1 x))))) (* 0 0)) into (- (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 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 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 -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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* n (- (log -1) (log x)))))) into (* -1 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* 3 (* -1 (* n (- (log -1) (log x))))) into (* -3 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -3 (* n (- (log -1) (log x))))) into (exp (* -3 (* n (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (log (exp (* -3 (* n (- (log -1) (log x)))))) into (* -3 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (* -3 (* n (- (log -1) (log x))))) into (* -1 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of (cbrt (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 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 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 -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 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* n (- (log -1) (log x)))))) into (* -1 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* 3 (* -1 (* n (- (log -1) (log x))))) into (* -3 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -3 (* n (- (log -1) (log x))))) into (exp (* -3 (* n (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (log (exp (* -3 (* n (- (log -1) (log x)))))) into (* -3 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (* -3 (* n (- (log -1) (log x))))) into (* -1 (* n (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (- (log -1) (log x))))) into (exp (* -1 (* n (- (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 0) 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 (* n (- (log -1) (log x))))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* n (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* n (exp (* -1 (* n (- (log -1) (log x))))))) 1)) (pow (exp (* -1 (* n (- (log -1) (log x))))) 1)))) 1) into n * [misc]backup-simplify: Simplify (+ (* 3 n) (* 0 (* -1 (* n (- (log -1) (log x)))))) into (* 3 n) * [misc]backup-simplify: Simplify (* (exp (* -3 (* n (- (log -1) (log x))))) (+ (* (/ (pow (* 3 n) 1) 1)))) into (* 3 (* n (exp (* -3 (* n (- (log -1) (log x))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 3 (* n (exp (* -3 (* n (- (log -1) (log x)))))))) 1)) (pow (exp (* -3 (* n (- (log -1) (log x))))) 1)))) 1) into (* 3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 3 n)) (* 0 (* -3 (* n (- (log -1) (log x)))))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (- (log -1) (log x))))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* n (- (log -1) (log x)))))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* n (- (log -1) (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 (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (* n (- (log -1) (log x))))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* n (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* n (exp (* -1 (* n (- (log -1) (log x))))))) 2)) (pow (exp (* -1 (* n (- (log -1) (log x))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* n (- (log -1) (log x))))))) 1)) (pow (exp (* -1 (* n (- (log -1) (log x))))) 1)))) 2) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 n)) (+ (* 0 n) (* 0 (* -1 (* n (- (log -1) (log x))))))) into (* 3/2 n) * [misc]backup-simplify: Simplify (* (exp (* -3 (* n (- (log -1) (log x))))) (+ (* (/ (pow (* 3 n) 2) 2)) (* (/ (pow (* 3/2 n) 1) 1)))) into (* (+ (* 3/2 n) (* 9/2 (pow n 2))) (exp (* -3 (* n (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 3 (* n (exp (* -3 (* n (- (log -1) (log x)))))))) 2)) (pow (exp (* -3 (* n (- (log -1) (log x))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (+ (* 3/2 n) (* 9/2 (pow n 2))) (exp (* -3 (* n (- (log -1) (log x))))))) 1)) (pow (exp (* -3 (* n (- (log -1) (log x))))) 1)))) 2) into (* 3/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 3/2 n)) (+ (* 0 (* 3 n)) (* 0 (* -3 (* n (- (log -1) (log x))))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (- (log -1) (log x))))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* n (- (log -1) (log x)))))) * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* n (- (log -1) (log x)))))) 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 (exp (* -1 (* n (- (log -1) (log x))))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (- (log -1) (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 -1) (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 -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]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 (* 0 (- (log -1) (log x))) 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 (+ (* 0 0) (* 1 (- (log -1) (log x)))) 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 (- (+ 1 (+ (/ (log -1) n) (/ 1 (* n x)))) (/ (log (/ -1 x)) n)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3))) (exp (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 2 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (log (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (log (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 4 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 5 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n)))) (cbrt (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))) * [exit]simplify: Simplified to (* (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))) * [enter]simplify: Simplifying (cbrt (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 6 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))) (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n)))) (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (pow (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) 3) * [exit]simplify: Simplified to (pow (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) 3) * * * * [misc]progress: [ 7 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (sqrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * [enter]simplify: Simplifying (sqrt (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (sqrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 8 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) 3) (pow (pow x (/ 1 n)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (/ 1 n)) 3)) * [exit]simplify: Simplified to (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (/ 1 n)) 3)) * [enter]simplify: Simplifying (+ (* (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3))) (+ (* (pow x (/ 1 n)) (pow x (/ 1 n))) (* (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (+ (* (pow (+ x 1) (/ 1 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (* (pow x (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (+ (* (pow (+ x 1) (/ 1 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (* (pow x (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 9 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (pow x (/ 1 n))) * [exit]simplify: Simplified to (- (pow x (/ 1 n))) * * * * [misc]progress: [ 10 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3))) (* (pow x (/ 1 n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (- (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (* (pow x (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (- (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (* (pow x (/ 1 n)) (pow x (/ 1 n)))) * [enter]simplify: Simplifying (+ (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (+ (pow x (/ 1 n)) (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (+ (pow x (/ 1 n)) (pow (+ x 1) (/ 1 n))) * * * * [misc]progress: [ 12 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cbrt (pow (pow (sqrt (+ 1 x)) (/ 1 n)) 3)) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (pow (sqrt (+ x 1)) (/ 1 n))) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (pow (sqrt (+ x 1)) (/ 1 n))) * [enter]simplify: Simplifying (- (cbrt (pow (pow (sqrt (+ 1 x)) (/ 1 n)) 3)) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) * [exit]simplify: Simplified to (- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) * * * * [misc]progress: [ 13 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cbrt (pow (sqrt (pow (+ 1 x) (/ 1 n))) 3)) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n)))) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n)))) * [enter]simplify: Simplifying (- (cbrt (pow (sqrt (pow (+ 1 x) (/ 1 n))) 3)) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * [exit]simplify: Simplified to (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * * * [misc]progress: [ 14 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cbrt (pow (pow (sqrt (+ 1 x)) (/ 1 n)) 3)) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (pow (sqrt (+ x 1)) (/ 1 n))) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (pow (sqrt (+ x 1)) (/ 1 n))) * [enter]simplify: Simplifying (- (cbrt (pow (pow (sqrt (+ 1 x)) (/ 1 n)) 3)) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) * [exit]simplify: Simplified to (- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) * * * * [misc]progress: [ 15 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cbrt (pow (sqrt (pow (+ 1 x) (/ 1 n))) 3)) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n)))) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n)))) * [enter]simplify: Simplifying (- (cbrt (pow (sqrt (pow (+ 1 x) (/ 1 n))) 3)) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * [exit]simplify: Simplified to (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * * * [misc]progress: [ 16 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cbrt (sqrt (pow (pow (+ 1 x) (/ 1 n)) 3))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (cbrt (sqrt (pow (pow (+ x 1) (/ 1 n)) 3)))) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (cbrt (sqrt (pow (pow (+ x 1) (/ 1 n)) 3)))) * [enter]simplify: Simplifying (- (cbrt (sqrt (pow (pow (+ 1 x) (/ 1 n)) 3))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (- (cbrt (sqrt (pow (pow (+ x 1) (/ 1 n)) 3))) (sqrt (pow x (/ 1 n)))) * [exit]simplify: Simplified to (- (cbrt (sqrt (pow (pow (+ x 1) (/ 1 n)) 3))) (sqrt (pow x (/ 1 n)))) * * * * [misc]progress: [ 17 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n)))) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n)))) * [enter]simplify: Simplifying (- (sqrt (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * [exit]simplify: Simplified to (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * * * [misc]progress: [ 18 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * * * * [misc]progress: [ 19 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (pow x (/ 1 n))) * [exit]simplify: Simplified to (- (pow x (/ 1 n))) * * * * [misc]progress: [ 20 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 x)) (/ 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 (26 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (log (+ x 1)) n) * [exit]simplify: Simplified to (/ (log (+ x 1)) n) * * * * [misc]progress: [ 21 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 x)) (/ 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 (26 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (log (+ x 1)) n) * [exit]simplify: Simplified to (/ (log (+ x 1)) n) * * * * [misc]progress: [ 22 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ 1 n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 1 n) * [exit]simplify: Simplified to (/ 1 n) * * * * [misc]progress: [ 23 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 x) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (+ x 1) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) * [exit]simplify: Simplified to (pow (+ x 1) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) * * * * [misc]progress: [ 24 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 x) (sqrt (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (+ x 1) (sqrt (/ 1 n))) * [exit]simplify: Simplified to (pow (+ x 1) (sqrt (/ 1 n))) * * * * [misc]progress: [ 25 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ x 1) * [exit]simplify: Simplified to (+ x 1) * * * * [misc]progress: [ 26 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ x 1) * [exit]simplify: Simplified to (+ x 1) * * * * [misc]progress: [ 27 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * [exit]simplify: Simplified to (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * [enter]simplify: Simplifying (pow (cbrt (+ 1 x)) (/ 1 n)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (cbrt (+ x 1)) (/ 1 n)) * [exit]simplify: Simplified to (pow (cbrt (+ x 1)) (/ 1 n)) * * * * [misc]progress: [ 28 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ 1 x)) (/ 1 n)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ x 1)) (/ 1 n)) * [exit]simplify: Simplified to (pow (sqrt (+ x 1)) (/ 1 n)) * [enter]simplify: Simplifying (pow (sqrt (+ 1 x)) (/ 1 n)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ x 1)) (/ 1 n)) * [exit]simplify: Simplified to (pow (sqrt (+ x 1)) (/ 1 n)) * * * * [misc]progress: [ 29 / 86 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (+ 1 x) (/ 1 n)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (pow (+ x 1) (/ 1 n)) * [exit]simplify: Simplified to (pow (+ x 1) (/ 1 n)) * * * * [misc]progress: [ 30 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (+ 1 x) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (log (+ x 1)) n) * [exit]simplify: Simplified to (/ (log (+ x 1)) n) * * * * [misc]progress: [ 32 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (+ 1 x) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (exp (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (exp (pow (+ x 1) (/ 1 n))) * * * * [misc]progress: [ 33 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (+ 1 x) (/ 1 n))) (cbrt (pow (+ 1 x) (/ 1 n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) * [exit]simplify: Simplified to (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) * [enter]simplify: Simplifying (cbrt (pow (+ 1 x) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (cbrt (pow (+ x 1) (/ 1 n))) * * * * [misc]progress: [ 34 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (+ 1 x) (/ 1 n)) (pow (+ 1 x) (/ 1 n))) (pow (+ 1 x) (/ 1 n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (pow (+ x 1) (/ 1 n)) 3) * [exit]simplify: Simplified to (pow (pow (+ x 1) (/ 1 n)) 3) * * * * [misc]progress: [ 35 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (+ 1 x) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * [enter]simplify: Simplifying (sqrt (pow (+ 1 x) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * * * * [misc]progress: [ 36 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log x) (/ 1 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (log x) n) * [exit]simplify: Simplified to (/ (log x) n) * * * * [misc]progress: [ 38 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (pow x (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (pow x (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) * [exit]simplify: Simplified to (pow x (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) * * * * [misc]progress: [ 39 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (pow x (sqrt (/ 1 n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (pow x (sqrt (/ 1 n))) * [exit]simplify: Simplified to (pow x (sqrt (/ 1 n))) * * * * [misc]progress: [ 40 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (pow x 1) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 41 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (pow x 1) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 42 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow x (/ 1 n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (log x) n) * [exit]simplify: Simplified to (/ (log x) n) * * * * [misc]progress: [ 44 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow x (/ 1 n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (pow x (/ 1 n))) * [exit]simplify: Simplified to (exp (pow x (/ 1 n))) * * * * [misc]progress: [ 45 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) * [exit]simplify: Simplified to (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) * [enter]simplify: Simplifying (cbrt (pow x (/ 1 n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (pow x (/ 1 n))) * [exit]simplify: Simplified to (cbrt (pow x (/ 1 n))) * * * * [misc]progress: [ 46 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow x (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (pow x (/ 1 n)) 3) * [exit]simplify: Simplified to (pow (pow x (/ 1 n)) 3) * * * * [misc]progress: [ 47 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow x (/ 1 n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow x (/ 1 n))) * [exit]simplify: Simplified to (sqrt (pow x (/ 1 n))) * [enter]simplify: Simplifying (sqrt (pow x (/ 1 n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow x (/ 1 n))) * [exit]simplify: Simplified to (sqrt (pow x (/ 1 n))) * * * * [misc]progress: [ 48 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (log (+ x 1)) n) * [exit]simplify: Simplified to (/ (log (+ x 1)) n) * * * * [misc]progress: [ 52 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (exp (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (exp (pow (+ x 1) (/ 1 n))) * * * * [misc]progress: [ 53 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * [exit]simplify: Simplified to (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * [enter]simplify: Simplifying (cbrt (pow (pow (cbrt (+ 1 x)) (/ 1 n)) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (pow (cbrt (+ x 1)) (/ 1 n)) * [exit]simplify: Simplified to (pow (cbrt (+ x 1)) (/ 1 n)) * * * * [misc]progress: [ 54 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (pow (sqrt (+ 1 x)) (/ 1 n)) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ x 1)) (/ 1 n)) * [exit]simplify: Simplified to (pow (sqrt (+ x 1)) (/ 1 n)) * [enter]simplify: Simplifying (cbrt (pow (pow (sqrt (+ 1 x)) (/ 1 n)) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ x 1)) (/ 1 n)) * [exit]simplify: Simplified to (pow (sqrt (+ x 1)) (/ 1 n)) * * * * [misc]progress: [ 55 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (pow 1 (/ 1 n)) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (pow (+ x 1) (/ 1 n)) * [exit]simplify: Simplified to (pow (+ x 1) (/ 1 n)) * * * * [misc]progress: [ 56 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (pow (+ 1 x) (/ 1 n))) (cbrt (pow (+ 1 x) (/ 1 n)))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) * [exit]simplify: Simplified to (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) * [enter]simplify: Simplifying (cbrt (pow (cbrt (pow (+ 1 x) (/ 1 n))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (cbrt (pow (+ x 1) (/ 1 n))) * * * * [misc]progress: [ 57 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (pow (+ 1 x) (/ 1 n))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * [enter]simplify: Simplifying (cbrt (pow (sqrt (pow (+ 1 x) (/ 1 n))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * * * * [misc]progress: [ 58 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (pow (+ x 1) (/ 1 n)) * [exit]simplify: Simplified to (pow (+ x 1) (/ 1 n)) * * * * [misc]progress: [ 59 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (pow (+ 1 x) (/ 1 n)) (pow (+ 1 x) (/ 1 n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))) * [exit]simplify: Simplified to (cbrt (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))) * [enter]simplify: Simplifying (cbrt (pow (+ 1 x) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (cbrt (pow (+ x 1) (/ 1 n))) * * * * [misc]progress: [ 60 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))) * [exit]simplify: Simplified to (cbrt (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))) * [enter]simplify: Simplifying (cbrt (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (cbrt (pow (+ x 1) (/ 1 n))) * * * * [misc]progress: [ 61 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * [exit]simplify: Simplified to (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * [enter]simplify: Simplifying (cbrt (pow (pow (cbrt (+ 1 x)) (/ 1 n)) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (pow (cbrt (+ x 1)) (/ 1 n)) * [exit]simplify: Simplified to (pow (cbrt (+ x 1)) (/ 1 n)) * * * * [misc]progress: [ 62 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (pow (sqrt (+ 1 x)) (/ 1 n)) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ x 1)) (/ 1 n)) * [exit]simplify: Simplified to (pow (sqrt (+ x 1)) (/ 1 n)) * [enter]simplify: Simplifying (cbrt (pow (pow (sqrt (+ 1 x)) (/ 1 n)) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ x 1)) (/ 1 n)) * [exit]simplify: Simplified to (pow (sqrt (+ x 1)) (/ 1 n)) * * * * [misc]progress: [ 63 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (pow 1 (/ 1 n)) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (pow (+ x 1) (/ 1 n)) * [exit]simplify: Simplified to (pow (+ x 1) (/ 1 n)) * * * * [misc]progress: [ 64 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (pow (+ 1 x) (/ 1 n))) (cbrt (pow (+ 1 x) (/ 1 n)))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) * [exit]simplify: Simplified to (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) * [enter]simplify: Simplifying (cbrt (pow (cbrt (pow (+ 1 x) (/ 1 n))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (cbrt (pow (+ x 1) (/ 1 n))) * * * * [misc]progress: [ 65 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (pow (+ 1 x) (/ 1 n))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * [enter]simplify: Simplifying (cbrt (pow (sqrt (pow (+ 1 x) (/ 1 n))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * * * * [misc]progress: [ 66 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (pow (+ x 1) (/ 1 n)) * [exit]simplify: Simplified to (pow (+ x 1) (/ 1 n)) * * * * [misc]progress: [ 67 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (+ 1 x) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (cbrt (pow (+ x 1) (/ 1 n))) * [enter]simplify: Simplifying (cbrt (* (pow (+ 1 x) (/ 1 n)) (pow (+ 1 x) (/ 1 n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))) * [exit]simplify: Simplified to (cbrt (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))) * * * * [misc]progress: [ 68 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (pow (pow (+ 1 x) (/ 1 n)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (pow (+ x 1) (/ 1 n)) 3))) * [exit]simplify: Simplified to (cbrt (sqrt (pow (pow (+ x 1) (/ 1 n)) 3))) * [enter]simplify: Simplifying (cbrt (sqrt (pow (pow (+ 1 x) (/ 1 n)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (pow (+ x 1) (/ 1 n)) 3))) * [exit]simplify: Simplified to (cbrt (sqrt (pow (pow (+ x 1) (/ 1 n)) 3))) * * * * [misc]progress: [ 69 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (pow (+ x 1) (/ 1 n)) * [exit]simplify: Simplified to (pow (+ x 1) (/ 1 n)) * * * * [misc]progress: [ 70 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3))) (cbrt (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) * [exit]simplify: Simplified to (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) * [enter]simplify: Simplifying (cbrt (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (cbrt (pow (+ x 1) (/ 1 n))) * * * * [misc]progress: [ 71 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3))) (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (pow (pow (+ x 1) (/ 1 n)) 3) * [exit]simplify: Simplified to (pow (pow (+ x 1) (/ 1 n)) 3) * * * * [misc]progress: [ 72 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * [enter]simplify: Simplifying (sqrt (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * * * * [misc]progress: [ 74 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 86 ] 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]progress: [ 76 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* n x)) (+ (* 1/2 (/ 1 (* n (pow x 2)))) (/ (log (/ 1 x)) (* (pow n 2) x)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (+ (- (/ 1 (* x n)) (/ (/ 1/2 x) (* x n))) (/ (log x) (* (* n n) x))) * * * * [misc]progress: [ 77 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) (* (pow n 2) x)) (/ 1 (* n x))) (+ (/ (log (/ -1 x)) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * * * * [misc]progress: [ 78 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (pow 1 3)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (- (cbrt 1) (pow x (/ 1 n))) * * * * [misc]progress: [ 79 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (pow (- (+ 1 (/ 1 (* n x))) (/ (log (/ 1 x)) n)) 3)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 (* x n)) (/ (log x) n)) (- 1 (pow x (/ 1 n)))) * * * * [misc]progress: [ 80 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (pow (- (+ 1 (+ (/ (log -1) n) (/ 1 (* n x)))) (/ (log (/ -1 x)) n)) 3)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * [exit]simplify: Simplified to (+ (- (+ (/ (/ 1 n) x) (/ (log -1) n)) (/ (log (/ -1 x)) n)) (- 1 (pow x (/ 1 n)))) * * * * [misc]progress: [ 81 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (exp (/ (log x) n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (exp (/ (log x) n))) * * * * [misc]progress: [ 82 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (- (+ (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) 1) (/ (log (/ 1 x)) n))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (- (- (pow (+ x 1) (/ 1 n)) (/ (log x) n)) (+ (* (/ (/ 1/2 n) n) (* (log x) (log x))) 1)) * * * * [misc]progress: [ 83 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (- (+ (* 1/2 (/ (pow (log -1) 2) (pow n 2))) (+ 1 (+ (/ (log -1) n) (* 1/2 (/ (pow (log (/ -1 x)) 2) (pow n 2)))))) (+ (/ (* (log (/ -1 x)) (log -1)) (pow n 2)) (/ (log (/ -1 x)) n)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (- (+ (* (+ (/ (log -1) n) 1) (/ (log (/ -1 x)) n)) (- (pow (+ x 1) (/ 1 n)) (* (/ 1/2 (* n n)) (* (log -1) (log -1))))) (+ (+ (/ (log -1) n) 1) (* (/ 1/2 (* n n)) (* (log (/ -1 x)) (log (/ -1 x)))))) * * * * [misc]progress: [ 84 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- 1 (pow x (/ 1 n))) * * * * [misc]progress: [ 85 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ 1 (/ 1 (* n x))) (/ (log (/ 1 x)) n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (+ (- 1 (pow x (/ 1 n))) (+ (/ 1 (* x n)) (/ (log x) n))) * * * * [misc]progress: [ 86 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ 1 (+ (/ (log -1) n) (/ 1 (* n x)))) (/ (log (/ -1 x)) n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (+ (+ 1 (/ (/ 1 n) x)) (+ 0 (- (/ (log x) n) (pow x (/ 1 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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (* x 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 n) 1) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x 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]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x 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]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow x 2)) 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 (pow x 2) in x * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (* (pow x -2) (/ 1 n))) into (/ 1/2 (* n (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 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 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 (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 n) 1) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) 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]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) 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]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) 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 (pow x 2) in x * [misc]backup-simplify: Simplify (* 1/2 1) 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 0) (+ (* 0 0) (* 0 1))) 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (pow (/ 1 x) 2) (/ 1 n))) into (/ 1/2 (* n (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 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 (- 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 (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 n) 1) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) 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]taylor: Taking 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) 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]taylor: Taking 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* -1/2 (pow x 2)) 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 (pow x 2) in x * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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) 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) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 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) 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 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (* (pow (/ 1 (- x)) 2) (/ 1 (- n)))) into (/ 1/2 (* n (pow x 2))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) in x * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) 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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ 1 n) 1) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (* x 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 n) 1) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (/ (log x) (* (* n 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 (* (* n x) n) in x * [misc]taylor: Taking taylor expansion of (* n x) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [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 (* n 0) into 0 * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (+ (* 0 0) (* n n)) into (pow n 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (/ (log x) (pow n 2)) into (/ (log x) (pow n 2)) * [misc]taylor: Taking taylor expansion of (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) in n * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) 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 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 (/ (/ 1/2 n) (* x 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]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (log x) (* (* n 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 x) n) in n * [misc]taylor: Taking taylor expansion of (* n 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 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 (* 0 x) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (+ (* 0 1) (* x 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x 1) (* 0 0))) into x * [misc]backup-simplify: Simplify (/ (log x) x) into (/ (log x) x) * [misc]taylor: Taking taylor expansion of (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) in n * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) 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 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 (/ (/ 1/2 n) (* x 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]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (log x) (* (* n 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 x) n) in n * [misc]taylor: Taking taylor expansion of (* n 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 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 (* 0 x) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (+ (* 0 1) (* x 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x 1) (* 0 0))) into x * [misc]backup-simplify: Simplify (/ (log x) x) into (/ (log x) x) * [misc]backup-simplify: Simplify (+ 0 (/ (log x) x)) into (/ (log x) x) * [misc]taylor: Taking taylor expansion of (/ (log x) x) 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 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (/ (log x) 1) into (log x) * [misc]backup-simplify: Simplify (- (/ 1/2 (pow x 2))) into (- (* 1/2 (/ 1 (pow x 2)))) * [misc]backup-simplify: Simplify (+ (/ 1 x) (- (* 1/2 (/ 1 (pow x 2))))) into (- (/ 1 x) (* 1/2 (/ 1 (pow x 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ (log x) x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (- (/ 1 x) (* 1/2 (/ 1 (pow x 2)))) 0) into (- (/ 1 x) (* 1/2 (/ 1 (pow x 2)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ 1 (pow x 2)))) 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 (* 1/2 (/ 1 (pow x 2))) 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 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [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 (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ (log x) x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 x) (/ 1 n))) (+ (* (log x) (* (/ 1 x) (pow n -2))) (* -1/2 (* (pow x -2) (/ 1 n))))) into (- (+ (/ (log x) (* (pow n 2) x)) (/ 1 (* n x))) (* 1/2 (/ 1 (* n (pow x 2))))) * [misc]approximate: Taking taylor expansion of (+ (- (/ (/ 1 (/ 1 n)) (/ 1 x)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) (/ (log (/ 1 x)) (* (* (/ 1 n) (/ 1 x)) (/ 1 n)))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ (/ 1 (/ 1 n)) (/ 1 x)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) (/ (log (/ 1 x)) (* (* (/ 1 n) (/ 1 x)) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (/ 1 n)) (/ 1 x)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 n)) (/ 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 (/ 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 (/ n 1) into n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 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 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 (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 n) 1) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (* (/ 1 n) (/ 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 n) (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 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 (/ 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 n) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (* (/ 1 n) (/ 1 n)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 (pow n 2))) into (* -1 (* (pow n 2) (log x))) * [misc]taylor: Taking taylor expansion of (+ (- (/ (/ 1 (/ 1 n)) (/ 1 x)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) (/ (log (/ 1 x)) (* (* (/ 1 n) (/ 1 x)) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (/ 1 n)) (/ 1 x)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 n)) (/ 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 (/ 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 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) 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]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (* (/ 1 n) (/ 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 n) (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 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 (/ 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 (/ 1 x)) into (/ 1 x) * [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 (/ 1 n)) (/ 1 x)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) (/ (log (/ 1 x)) (* (* (/ 1 n) (/ 1 x)) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (/ 1 n)) (/ 1 x)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 n)) (/ 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 (/ 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 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) 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]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (* (/ 1 n) (/ 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 n) (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 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 (/ 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 (/ 1 x)) into (/ 1 x) * [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]backup-simplify: Simplify (- (* 1/2 (pow x 2))) into (- (* 1/2 (pow x 2))) * [misc]backup-simplify: Simplify (+ x (- (* 1/2 (pow x 2)))) into (- x (* 1/2 (pow x 2))) * [misc]backup-simplify: Simplify (+ (- x (* 1/2 (pow x 2))) 0) into (- x (* 1/2 (pow x 2))) * [misc]taylor: Taking taylor expansion of (- x (* 1/2 (pow x 2))) 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 (* 1/2 (pow x 2)) 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 (pow x 2) in x * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 x)) (+ (* x (/ 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* x (log (/ 1 x)))) into (* x (log (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* x (log (/ 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]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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (log x)))) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/2 1) 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 (+ (* -1/2 (* (pow (/ 1 x) 2) (/ 1 n))) (+ (* (- (log (/ 1 x))) (* (/ 1 x) (pow (/ 1 n) 2))) (* 1 (* (/ 1 x) (/ 1 n))))) into (- (/ 1 (* n x)) (+ (/ (log (/ 1 x)) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (+ (- (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) (/ (log (/ 1 (- x))) (* (* (/ 1 (- n)) (/ 1 (- x))) (/ 1 (- n))))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) (/ (log (/ 1 (- x))) (* (* (/ 1 (- n)) (/ 1 (- x))) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- n))) (/ 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 (/ 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 n) -1) into n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 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 (- 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 (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 n) 1) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (* (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- x))) 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]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 n) -1) into (/ 1 n) * [misc]backup-simplify: Simplify (* (/ 1 n) (/ -1 n)) into (/ -1 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 (pow n 2))) into (* -1 (* (pow n 2) (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (+ (- (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) (/ (log (/ 1 (- x))) (* (* (/ 1 (- n)) (/ 1 (- x))) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- n))) (/ 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 (/ 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 (/ -1 x)) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) 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]taylor: Taking 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (* (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) -1) into (/ -1 x) * [misc]backup-simplify: Simplify (/ (log (/ -1 x)) (/ -1 x)) into (* -1 (* (log (/ -1 x)) x)) * [misc]taylor: Taking taylor expansion of (+ (- (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) (/ (log (/ 1 (- x))) (* (* (/ 1 (- n)) (/ 1 (- x))) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- n))) (/ 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 (/ 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 (/ -1 x)) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) 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]taylor: Taking 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (* (/ 1 (- n)) (/ 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 (- n)) (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) -1) into (/ -1 x) * [misc]backup-simplify: Simplify (/ (log (/ -1 x)) (/ -1 x)) into (* -1 (* (log (/ -1 x)) x)) * [misc]backup-simplify: Simplify (- (* -1/2 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ x (* 1/2 (pow x 2))) into (+ (* 1/2 (pow x 2)) x) * [misc]backup-simplify: Simplify (+ (+ (* 1/2 (pow x 2)) x) 0) into (+ (* 1/2 (pow x 2)) x) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (pow x 2)) x) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) 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 (pow x 2) 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 1) 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 x)) (+ (* x (/ 0 (/ -1 x))))) 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) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (* (log (/ -1 x)) x))) into (- (* (log (/ -1 x)) x)) * [misc]taylor: Taking taylor expansion of (- (* (log (/ -1 x)) x)) in x * [misc]taylor: Taking taylor expansion of (* (log (/ -1 x)) x) 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 -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [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 (log -1) * [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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (- (log -1) (log x))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (* 1/2 1) 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 (+ (* 1/2 (* (pow (/ 1 (- x)) 2) (/ 1 (- n)))) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- x)) (pow (/ 1 (- n)) 2))) (* 1 (* (/ 1 (- x)) (/ 1 (- n)))))) into (- (+ (/ (log -1) (* (pow n 2) x)) (/ 1 (* n x))) (+ (/ (log (/ -1 x)) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) 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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ 1 n) 1) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (* x 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 n) 1) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) 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 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 (/ (/ 1/2 n) (* x 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]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) 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 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 (/ (/ 1/2 n) (* x 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]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (pow x 2))) into (- (* 1/2 (/ 1 (pow x 2)))) * [misc]backup-simplify: Simplify (+ (/ 1 x) (- (* 1/2 (/ 1 (pow x 2))))) into (- (/ 1 x) (* 1/2 (/ 1 (pow x 2)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ 1 (pow x 2)))) 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 (* 1/2 (/ 1 (pow x 2))) 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 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [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 (+ 0 -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 (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))))) 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 x * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) 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 x * [misc]backup-simplify: Simplify 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) 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 x * [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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) 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 x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 (* (/ 1 x) (/ 1 n))) (* -1/2 (* (pow x -2) (/ 1 n)))) into (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1 (/ 1 n)) (/ 1 x)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (/ 1 n)) (/ 1 x)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 n)) (/ 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 (/ 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 (/ n 1) into n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 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 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 (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 n) 1) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (/ 1 n)) (/ 1 x)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 n)) (/ 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 (/ 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 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) 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]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (/ 1 n)) (/ 1 x)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 n)) (/ 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 (/ 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 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) 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]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (- (* 1/2 (pow x 2))) into (- (* 1/2 (pow x 2))) * [misc]backup-simplify: Simplify (+ x (- (* 1/2 (pow x 2)))) into (- x (* 1/2 (pow x 2))) * [misc]taylor: Taking taylor expansion of (- x (* 1/2 (pow x 2))) 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 (* 1/2 (pow x 2)) 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 (pow x 2) in x * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 x)) (+ (* x (/ 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) 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 x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 1) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 x)) (+ (* x (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) 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 x * [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 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)) (* 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 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 x)) (+ (* x (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) 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 x * [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 (+ (* -1/2 (* (pow (/ 1 x) 2) (/ 1 n))) (* 1 (* (/ 1 x) (/ 1 n)))) into (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- n))) (/ 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 (/ 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 n) -1) into n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 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 (- 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 (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 n) 1) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- n))) (/ 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 (/ 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 (/ -1 x)) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) 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]taylor: Taking 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- n))) (/ 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 (/ 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 (/ -1 x)) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) 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]taylor: Taking 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]backup-simplify: Simplify (- (* -1/2 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ x (* 1/2 (pow x 2))) into (+ (* 1/2 (pow x 2)) x) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (pow x 2)) x) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) 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 (pow x 2) 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 1) 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 x)) (+ (* x (/ 0 (/ -1 x))))) 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) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) 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 x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 1) 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 (- 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 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 x)) (+ (* x (/ 0 (/ -1 x))) (* 0 (/ 0 (/ -1 x))))) 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) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) 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 x * [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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) 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 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 x)) (+ (* x (/ 0 (/ -1 x))) (* 0 (/ 0 (/ -1 x))) (* 0 (/ 0 (/ -1 x))))) 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 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) 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 x * [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 (+ (* 1/2 (* (pow (/ 1 (- x)) 2) (/ 1 (- n)))) (* 1 (* (/ 1 (- x)) (/ 1 (- n))))) into (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (/ 1 n) x) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) 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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ 1 n) 1) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) 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 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) 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 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 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 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 x) (/ 1 n))) into (/ 1 (* n x)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (/ 1 n)) (/ 1 x)) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 n)) (/ 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 (/ 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 (/ n 1) into n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 n)) (/ 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 (/ 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 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 n)) (/ 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 (/ 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 (/ 1 x)) into 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 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 x)) (+ (* x (/ 0 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 x)) (+ (* x (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 x)) (+ (* x (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 x) (/ 1 n))) into (/ 1 (* n x)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- n))) (/ 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 (/ 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 n) -1) into n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- n))) (/ 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 (/ 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 (/ -1 x)) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- n))) (/ 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 (/ 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 (/ -1 x)) into 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 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 x)) (+ (* x (/ 0 (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (- 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 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 x)) (+ (* x (/ 0 (/ -1 x))) (* 0 (/ 0 (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 x)) (+ (* x (/ 0 (/ -1 x))) (* 0 (/ 0 (/ -1 x))) (* 0 (/ 0 (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (- x)) (/ 1 (- n)))) into (/ 1 (* n x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1/2 n)) (log (* x x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (- (log (/ 1/2 n)) (log (* x x))) * [exit]simplify: Simplified to (- (log (/ 1/2 n)) (log (* x x))) * * * * [misc]progress: [ 3 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (log (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (log (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 4 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (exp (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (exp (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 5 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1/2 n) (/ 1/2 n)) (/ 1/2 n)) (* (* (* x x) (* x x)) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1/2 n) (* x x)) 3) * [exit]simplify: Simplified to (pow (/ (/ 1/2 n) (* x x)) 3) * * * * [misc]progress: [ 6 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) * [enter]simplify: Simplifying (cbrt (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (cbrt (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 7 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x))) (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (363 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1/2 n) (* x x)) 3) * [exit]simplify: Simplified to (pow (/ (/ 1/2 n) (* x x)) 3) * * * * [misc]progress: [ 8 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (sqrt (/ (/ 1/2 n) (* x x))) * [enter]simplify: Simplifying (sqrt (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (sqrt (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 9 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1/2 n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ 1/2 n)) * [exit]simplify: Simplified to (- (/ 1/2 n)) * [enter]simplify: Simplifying (- (* x x)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (- x) x) * [exit]simplify: Simplified to (* (- x) x) * * * * [misc]progress: [ 10 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1/2 n)) x) (cbrt (/ 1/2 n))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1/2 n)) x) (cbrt (/ 1/2 n))) * [enter]simplify: Simplifying (/ (cbrt (/ 1/2 n)) x) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1/2 n)) x) * [exit]simplify: Simplified to (/ (cbrt (/ 1/2 n)) x) * * * * [misc]progress: [ 11 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1/2 n)) x) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1/2 n)) x) * [exit]simplify: Simplified to (/ (sqrt (/ 1/2 n)) x) * [enter]simplify: Simplifying (/ (sqrt (/ 1/2 n)) x) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1/2 n)) x) * [exit]simplify: Simplified to (/ (sqrt (/ 1/2 n)) x) * * * * [misc]progress: [ 12 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (/ 1/2 n) x) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1/2 (* x n)) * [exit]simplify: Simplified to (/ 1/2 (* x n)) * * * * [misc]progress: [ 13 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 x) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/2 x) * [exit]simplify: Simplified to (/ 1/2 x) * [enter]simplify: Simplifying (/ (/ 1 n) x) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) n) * [exit]simplify: Simplified to (/ (/ 1 x) n) * * * * [misc]progress: [ 14 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [exit]simplify: Simplified to (/ (/ 1 x) x) * * * * [misc]progress: [ 16 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ 1/2 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * * * * [misc]progress: [ 17 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1/2 n) x) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1/2 (* x n)) * [exit]simplify: Simplified to (/ 1/2 (* x n)) * * * * [misc]progress: [ 18 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (cbrt (/ 1/2 n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (* x x) (cbrt (/ 1/2 n))) * [exit]simplify: Simplified to (/ (* x x) (cbrt (/ 1/2 n))) * * * * [misc]progress: [ 19 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (sqrt (/ 1/2 n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (* x x) (sqrt (/ 1/2 n))) * [exit]simplify: Simplified to (/ (* x x) (sqrt (/ 1/2 n))) * * * * [misc]progress: [ 20 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ 1/2 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * * * * [misc]progress: [ 21 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ 1 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (* n x) (/ x 1)) * [exit]simplify: Simplified to (* (* n x) (/ x 1)) * * * * [misc]progress: [ 22 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x x) n) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (* x (* x n)) * [exit]simplify: Simplified to (* x (* x n)) * * * * [misc]progress: [ 23 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (exp (/ (/ 1 n) x)) (exp (/ (/ 1/2 n) (* x x)))) (exp (/ (log x) (* (* n x) n)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (exp (+ (/ (log x) (* (* n n) x)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * [exit]simplify: Simplified to (exp (+ (/ (log x) (* (* n n) x)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * * * * [misc]progress: [ 24 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))) (exp (/ (log x) (* (* n x) n)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (exp (+ (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) (/ (/ (log x) n) (* x n)))) * [exit]simplify: Simplified to (exp (+ (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) (/ (/ (log x) n) (* x n)))) * * * * [misc]progress: [ 25 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (log (+ (/ (/ (log x) x) (* n n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * [exit]simplify: Simplified to (log (+ (/ (/ (log x) x) (* n n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * * * * [misc]progress: [ 27 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (exp (- (/ (log x) (* x (* n n))) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))))) * [exit]simplify: Simplified to (exp (- (/ (log x) (* x (* n n))) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))))) * * * * [misc]progress: [ 28 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n)))) (cbrt (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (log x) (* x (* n n))) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))))) (cbrt (+ (/ (log x) (* x (* n n))) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))))) * [exit]simplify: Simplified to (* (cbrt (+ (/ (log x) (* x (* n n))) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))))) (cbrt (+ (/ (log x) (* x (* n n))) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))))) * [enter]simplify: Simplifying (cbrt (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ (/ (log x) x) (* n n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * [exit]simplify: Simplified to (cbrt (+ (/ (/ (log x) x) (* n n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * * * * [misc]progress: [ 29 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n)))) (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (pow (+ (/ (log x) (* x (* n n))) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) 3) * [exit]simplify: Simplified to (pow (+ (/ (log x) (* x (* n n))) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) 3) * * * * [misc]progress: [ 30 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ (/ (log x) x) (* n n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * [exit]simplify: Simplified to (sqrt (+ (/ (/ (log x) x) (* n n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * [enter]simplify: Simplifying (sqrt (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ (/ (log x) x) (* n n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * [exit]simplify: Simplified to (sqrt (+ (/ (/ (log x) x) (* n n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * * * * [misc]progress: [ 31 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (/ 1 n) (* x x)) (* x (/ 1/2 n))) (* (* n x) n)) (* (* x (* x x)) (log x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (* x n) n) (* (/ x n) (- x 1/2))) (* (pow x 3) (log x))) * [exit]simplify: Simplified to (+ (* (* (* x n) n) (* (/ x n) (- x 1/2))) (* (pow x 3) (log x))) * [enter]simplify: Simplifying (* (* x (* x x)) (* (* n x) n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * [exit]simplify: Simplified to (* (* x (* n x)) (* x (* n x))) * [exit]simplify: Simplified to (* (* x (* n x)) (* x (* n x))) * * * * [misc]progress: [ 32 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (pow (/ (/ 1 n) x) 3) (pow (/ (/ 1/2 n) (* x x)) 3)) (* (* n x) n)) (* (+ (* (/ (/ 1 n) x) (/ (/ 1 n) x)) (+ (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x))) (* (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))))) (log x))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (+ (* (- (* (/ (/ 1 n) (* x n)) (/ (/ 1 n) (* x x))) (pow (/ (/ 1/2 n) (* x x)) 3)) (* (* x n) n)) (+ (* (/ (/ 1 n) x) (* (/ (/ 1 n) x) (log x))) (* (+ (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (* (/ (/ 1/2 n) (* x x)) (log x))))) * [exit]simplify: Simplified to (+ (* (- (* (/ (/ 1 n) (* x n)) (/ (/ 1 n) (* x x))) (pow (/ (/ 1/2 n) (* x x)) 3)) (* (* x n) n)) (+ (* (/ (/ 1 n) x) (* (/ (/ 1 n) x) (log x))) (* (+ (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (* (/ (/ 1/2 n) (* x x)) (log x))))) * [enter]simplify: Simplifying (* (+ (* (/ (/ 1 n) x) (/ (/ 1 n) x)) (+ (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x))) (* (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))))) (* (* n x) n)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (+ (* (* (* x (* n n)) (/ (/ 1 x) n)) (/ (/ 1 x) n)) (* (+ (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) (* (/ (/ 1/2 n) (* x x)) (* x (* n n))))) * [exit]simplify: Simplified to (+ (* (* (* x (* n n)) (/ (/ 1 x) n)) (/ (/ 1 x) n)) (* (+ (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) (* (/ (/ 1/2 n) (* x x)) (* x (* n n))))) * * * * [misc]progress: [ 33 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (/ (/ 1 n) x) (/ (/ 1 n) x)) (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x)))) (* (* n x) n)) (* (+ (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (log x))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (* (+ (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (+ (log x) (* (* x (* n n)) (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))))) * [exit]simplify: Simplified to (* (+ (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (+ (log x) (* (* x (* n n)) (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))))) * [enter]simplify: Simplifying (* (+ (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (* (* n x) n)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (+ n (* (/ 1/2 x) n)) * [exit]simplify: Simplified to (+ n (* (/ 1/2 x) n)) * * * * [misc]progress: [ 34 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) 3) (pow (/ (log x) (* (* n x) n)) 3)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (397 enodes) * [exit]simplify: Simplified to (+ (* (* (/ (log x) x) (/ (log x) (* n n))) (/ (/ (log x) (* n n)) (* (* x n) (* x n)))) (pow (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) 3)) * [exit]simplify: Simplified to (+ (* (* (/ (log x) x) (/ (log x) (* n n))) (/ (/ (log x) (* n n)) (* (* x n) (* x n)))) (pow (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) 3)) * [enter]simplify: Simplifying (+ (* (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))) (- (* (/ (log x) (* (* n x) n)) (/ (log x) (* (* n x) n))) (* (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * [exit]simplify: Simplified to (- (* (/ (log x) (* (* x n) n)) (/ (log x) (* (* x n) n))) (* (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) (- (/ (log x) (* (* x n) n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))))) * [exit]simplify: Simplified to (- (* (/ (log x) (* (* x n) n)) (/ (log x) (* (* x n) n))) (* (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) (- (/ (log x) (* (* x n) n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))))) * * * * [misc]progress: [ 35 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))) (* (/ (log x) (* (* n x) n)) (/ (log x) (* (* n x) n)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (- (* (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))) (* (/ (log x) (* (* x n) n)) (/ (log x) (* (* x n) n)))) * [exit]simplify: Simplified to (- (* (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))) (* (/ (log x) (* (* x n) n)) (/ (log x) (* (* x n) n)))) * [enter]simplify: Simplifying (- (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) (/ (/ (log x) n) (* x n))) * [exit]simplify: Simplified to (- (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) (/ (/ (log x) n) (* x n))) * * * * [misc]progress: [ 37 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (+ (/ (/ (log x) n) (* x n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (+ (/ (/ (log x) n) (* x n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 38 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (+ (/ (/ (log x) n) (* x n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (+ (/ (/ (log x) n) (* x n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 39 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 40 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 41 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x)) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ (log x) (* x n)) n)) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ (log x) (* x n)) n)) * * * * [misc]progress: [ 42 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ (/ 1 n) x)) (exp (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (exp (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 44 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (log (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (log (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 46 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (exp (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 47 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))) (cbrt (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) (cbrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) (cbrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * [enter]simplify: Simplifying (cbrt (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (cbrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 48 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))) (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * [exit]simplify: Simplified to (pow (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) 3) * [exit]simplify: Simplified to (pow (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) 3) * * * * [misc]progress: [ 49 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (sqrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * [enter]simplify: Simplifying (sqrt (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (sqrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 50 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 n) (* x x)) (* x (/ 1/2 n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (* (- x 1/2) (/ x n)) * [exit]simplify: Simplified to (* (- x 1/2) (/ x n)) * [enter]simplify: Simplifying (* x (* x x)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (pow x 3) * [exit]simplify: Simplified to (pow x 3) * * * * [misc]progress: [ 51 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ (/ 1 n) x) 3) (pow (/ (/ 1/2 n) (* x x)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * [exit]simplify: Simplified to (- (/ 1 (pow (* x n) 3)) (pow (/ (/ 1/2 n) (* x x)) 3)) * [exit]simplify: Simplified to (- (/ 1 (pow (* x n) 3)) (pow (/ (/ 1/2 n) (* x x)) 3)) * [enter]simplify: Simplifying (+ (* (/ (/ 1 n) x) (/ (/ 1 n) x)) (+ (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x))) (* (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (+ (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x))) (* (/ (/ 1 n) x) (+ (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)))) * [exit]simplify: Simplified to (+ (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x))) (* (/ (/ 1 n) x) (+ (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)))) * * * * [misc]progress: [ 52 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (/ (- 1/2) (* x n)) x) * [exit]simplify: Simplified to (/ (/ (- 1/2) (* x n)) x) * * * * [misc]progress: [ 53 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (/ 1 n) x) (/ (/ 1 n) x)) (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (* (+ (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (* (+ (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x)))) * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (+ (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 55 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ (/ 1 n) x)) (sqrt (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 (* x n))) (sqrt (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 (* x n))) (sqrt (/ (/ 1/2 n) (* x x)))) * [enter]simplify: Simplifying (- (sqrt (/ (/ 1 n) x)) (sqrt (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 (* x n))) (sqrt (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (- (sqrt (/ 1 (* x n))) (sqrt (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 56 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ (/ 1 n) x)) (/ (sqrt (/ 1/2 n)) x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (+ (/ (sqrt (/ 1/2 n)) x) (sqrt (/ 1 (* x n)))) * [exit]simplify: Simplified to (+ (/ (sqrt (/ 1/2 n)) x) (sqrt (/ 1 (* x n)))) * [enter]simplify: Simplifying (- (sqrt (/ (/ 1 n) x)) (/ (sqrt (/ 1/2 n)) x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 (* x n))) (/ (sqrt (/ 1/2 n)) x)) * [exit]simplify: Simplified to (- (sqrt (/ 1 (* x n))) (/ (sqrt (/ 1/2 n)) x)) * * * * [misc]progress: [ 57 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 58 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (/ 1/2 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- 1 (/ 1/2 x)) * [exit]simplify: Simplified to (- 1 (/ 1/2 x)) * * * * [misc]progress: [ 59 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (/ (- 1/2) (* x n)) x) * [exit]simplify: Simplified to (/ (/ (- 1/2) (* x n)) x) * * * * [misc]progress: [ 60 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 1 n) x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (- (log (* x n))) * [exit]simplify: Simplified to (- (log (* x n))) * * * * [misc]progress: [ 62 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 1 n) x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (exp (/ 1 (* x n))) * [exit]simplify: Simplified to (exp (/ 1 (* x n))) * * * * [misc]progress: [ 63 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1 n) x)) (cbrt (/ (/ 1 n) x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (* x n))) (cbrt (/ 1 (* x n)))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (* x n))) (cbrt (/ 1 (* x n)))) * [enter]simplify: Simplifying (cbrt (/ (/ 1 n) x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* x n))) * [exit]simplify: Simplified to (cbrt (/ 1 (* x n))) * * * * [misc]progress: [ 64 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ 1 n) x) (/ (/ 1 n) x)) (/ (/ 1 n) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 x) (* n n)) (* (* x x) n)) * [exit]simplify: Simplified to (/ (/ (/ 1 x) (* n n)) (* (* x x) n)) * * * * [misc]progress: [ 65 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 n) x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (* x n))) * [exit]simplify: Simplified to (sqrt (/ 1 (* x n))) * [enter]simplify: Simplifying (sqrt (/ (/ 1 n) x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (* x n))) * [exit]simplify: Simplified to (sqrt (/ 1 (* x n))) * * * * [misc]progress: [ 66 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) n) * [exit]simplify: Simplified to (/ (- 1) n) * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [exit]simplify: Simplified to (- x) * * * * [misc]progress: [ 67 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * * * * [misc]progress: [ 69 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ 1 n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ x (/ 1 n)) * [exit]simplify: Simplified to (/ x (/ 1 n)) * * * * [misc]progress: [ 70 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (cbrt (/ 1 n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ x (cbrt (/ 1 n))) * [exit]simplify: Simplified to (/ x (cbrt (/ 1 n))) * * * * [misc]progress: [ 71 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (/ 1 n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ x (sqrt (/ 1 n))) * [exit]simplify: Simplified to (/ x (sqrt (/ 1 n))) * * * * [misc]progress: [ 72 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ 1 n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ x (/ 1 n)) * [exit]simplify: Simplified to (/ x (/ 1 n)) * * * * [misc]progress: [ 73 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ 1 n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ x (/ 1 n)) * [exit]simplify: Simplified to (/ x (/ 1 n)) * * * * [misc]progress: [ 74 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* x n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* n x) * [exit]simplify: Simplified to (* n x) * * * * [misc]progress: [ 75 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ (/ 1 n) x) (/ 1/2 (* n (pow x 2)))) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (+ (/ (/ (log x) n) (* x n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 76 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ (/ 1 n) x) (/ 1/2 (* n (pow x 2)))) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (+ (/ (/ (log x) n) (* x n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 77 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ (/ 1 n) x) (/ 1/2 (* n (pow x 2)))) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (+ (/ (/ (log x) n) (* x n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 78 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log x) (* (pow n 2) x)) (/ 1 (* n x))) (* 1/2 (/ 1 (* n (pow x 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (/ (log x) (* n n)) x)) * * * * [misc]progress: [ 79 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* n x)) (+ (/ (log (/ 1 x)) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (+ (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n n) x))) * * * * [misc]progress: [ 80 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) (* (pow n 2) x)) (/ 1 (* n x))) (+ (/ (log (/ -1 x)) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * * * * [misc]progress: [ 81 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (- (/ (log x) (* (* n n) x)) (- (/ (/ 1/2 x) (* x n)) (/ 1 (* x n)))) * * * * [misc]progress: [ 82 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (- (/ (log x) (* (* n n) x)) (- (/ (/ 1/2 x) (* x n)) (/ 1 (* x n)))) * * * * [misc]progress: [ 83 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (- (/ (log x) (* (* n n) x)) (- (/ (/ 1/2 x) (* x n)) (/ 1 (* x n)))) * * * * [misc]progress: [ 84 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ 1 (* n x)) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (+ (/ (log x) (* x (* n n))) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 85 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ 1 (* n x)) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (+ (/ (log x) (* x (* n n))) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 86 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ 1 (* n x)) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (+ (/ (log x) (* x (* n n))) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (* x 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 n) 1) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x 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]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x 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]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow x 2)) 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 (pow x 2) in x * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (* (pow x -2) (/ 1 n))) into (/ 1/2 (* n (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 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 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 (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 n) 1) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) 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]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) 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]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) 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 (pow x 2) in x * [misc]backup-simplify: Simplify (* 1/2 1) 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 0) (+ (* 0 0) (* 0 1))) 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (pow (/ 1 x) 2) (/ 1 n))) into (/ 1/2 (* n (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 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 (- 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 (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 n) 1) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) 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]taylor: Taking 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) 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]taylor: Taking 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* -1/2 (pow x 2)) 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 (pow x 2) in x * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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) 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) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 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) 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 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (* (pow (/ 1 (- x)) 2) (/ 1 (- n)))) into (/ 1/2 (* n (pow x 2))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (log x) (* x n)) 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ (log x) x) 1) into (/ (log x) x) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x 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]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (log x) (* x n)) 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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ (/ (log x) n) n) into (/ (log x) (pow n 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (* x 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 n) 1) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (log x) (* x n)) 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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ (/ (log x) n) n) into (/ (log x) (pow n 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (* x 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 n) 1) into (/ 1/2 n) * [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 (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/2 n) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (log x) (pow n 2)) 0) into (/ (log x) (pow n 2)) * [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]backup-simplify: Simplify (/ (log x) 1) into (log x) * [misc]backup-simplify: Simplify (log x) into (log x) * [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 (/ (* (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 (- (/ 0 n) (+ (* (/ (log x) (pow n 2)) (/ 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/2 n) (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (/ 0 1) (+ (* (log x) (/ 0 1)))) into 0 * [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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ (log x) n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ (log x) (pow n 2)) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/2 n) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ (+ (* 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ (log x) n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ (log x) (pow n 2)) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1/2 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/2 n) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (/ 1 n) (pow x -2))) (* (log x) (* (pow n -2) (/ 1 x)))) into (- (/ (log x) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2))))) * [misc]approximate: Taking taylor expansion of (- (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1 n)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1 n)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 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 (* x (log (/ 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 (/ (* x (log (/ 1 x))) 1) into (* x (log (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) 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]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (- (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1 n)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 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 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 (* n (log x))) (/ 1 n)) into (* -1 (* (pow n 2) (log x))) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 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 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 (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 n) 1) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1 n)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 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 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 (* n (log x))) (/ 1 n)) into (* -1 (* (pow n 2) (log x))) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 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 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 (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 n) 1) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* -1 (* (pow n 2) (log x))) 0) into (- (* (pow n 2) (log x))) * [misc]taylor: Taking taylor expansion of (- (* (pow n 2) (log x))) in n * [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 (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 (/ 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) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* -1 (* (pow n 2) (log x))) (/ 0 (/ 1 n))))) into 0 * [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 (log x)) into (log x) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (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 (- (+ (* 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 (* n (log x))) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* -1 (* (pow n 2) (log x))) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 n) (/ 0 1)))) 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 (+ (* 1/2 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 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (log x))) 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 (/ (+ (* 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 (/ 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 (* n (log x))) (/ 0 (/ 1 n))) (* 0 (/ 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 (- (/ 0 (/ 1 n)) (+ (* (* -1 (* (pow n 2) (log x))) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 n) (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 1/2 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 (+ (* (- (log (/ 1 x))) (* (pow (/ 1 n) 2) (/ 1 x))) (* -1/2 (* (/ 1 n) (pow (/ 1 x) 2)))) into (- (+ (* 1/2 (/ 1 (* n (pow x 2)))) (/ (log (/ 1 x)) (* (pow n 2) x)))) * [misc]approximate: Taking taylor expansion of (- (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1 (- n))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1 (- n))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 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 (* (log (/ -1 x)) 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 (/ (* (log (/ -1 x)) x) -1) into (* -1 (* (log (/ -1 x)) x)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) 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]taylor: Taking 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (- (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1 (- n))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 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 (* n (- (log -1) (log 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 (/ (* n (- (log -1) (log x))) (/ -1 n)) into (* -1 (* (pow n 2) (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 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 (- 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 (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 n) 1) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1 (- n))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 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 (* n (- (log -1) (log 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 (/ (* n (- (log -1) (log x))) (/ -1 n)) into (* -1 (* (pow n 2) (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 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 (- 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 (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 n) 1) into (* -1/2 n) * [misc]backup-simplify: Simplify (+ (* -1 (* (pow n 2) (- (log -1) (log x)))) 0) into (- (* (pow n 2) (log x)) (* (pow n 2) (log -1))) * [misc]taylor: Taking taylor expansion of (- (* (pow n 2) (log x)) (* (pow n 2) (log -1))) in n * [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 (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) (log -1)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) 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]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)) (+ (* (* n (- (log -1) (log x))) (/ 0 (/ 1 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 (/ -1 n)) (+ (* (* -1 (* (pow n 2) (- (log -1) (log x)))) (/ 0 (/ -1 n))))) into 0 * [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 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 (log x)) into (log x) * [misc]backup-simplify: Simplify (* 1 (log -1)) into (log -1) * [misc]backup-simplify: Simplify (- (log -1)) into (- (log -1)) * [misc]backup-simplify: Simplify (+ (log x) (- (log -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 (- 0) into 0 * [misc]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)) (+ (* (* n (- (log -1) (log x))) (/ 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 (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* (* -1 (* (pow n 2) (- (log -1) (log x)))) (/ 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 (- (+ (* (/ -1 n) (/ 0 (- 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 n) (/ 0 1)))) 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 (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [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 (log x))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (log -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 (- 0) into 0 * [misc]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 (- 0) into 0 * [misc]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)) (+ (* (* n (- (log -1) (log x))) (/ 0 (/ 1 n))) (* 0 (/ 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 (/ -1 n)) (+ (* (* -1 (* (pow n 2) (- (log -1) (log x)))) (/ 0 (/ -1 n))) (* 0 (/ 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 (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- 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 (- 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) into 0 * [misc]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))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 n) (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (log (/ 1 (- x))) (log -1)) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) (* 1/2 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2)))) into (- (/ (log -1) (* (pow n 2) x)) (+ (/ (log (/ -1 x)) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) 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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ 1 n) 1) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (log x) (* x n)) 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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ (/ (log x) n) n) into (/ (log x) (pow n 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (* x 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 n) 1) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) 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 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 (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (log x) (* x n)) 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ (log x) x) 1) into (/ (log x) x) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x 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]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) 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 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 (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (log x) (* x n)) 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 n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ (log x) x) 1) into (/ (log x) x) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x 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]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (/ (log x) x) 0) into (/ (log x) x) * [misc]backup-simplify: Simplify (+ 0 (/ (log x) x)) into (/ (log x) x) * [misc]taylor: Taking taylor expansion of (/ (log x) x) 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 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (/ (log x) 1) into (log x) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ (log x) x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (log x) x) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 (pow x 2))) into (- (* 1/2 (/ 1 (pow x 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (pow x 2))))) into (- (* 1/2 (/ 1 (pow x 2)))) * [misc]backup-simplify: Simplify (+ (/ 1 x) (- (* 1/2 (/ 1 (pow x 2))))) into (- (/ 1 x) (* 1/2 (/ 1 (pow x 2)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ 1 (pow x 2)))) 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 (* 1/2 (/ 1 (pow x 2))) 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 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [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 (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) 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 (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ (log x) x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (log x) x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 x) (/ 1 n))) (+ (* (log x) (* (/ 1 x) (pow n -2))) (* -1/2 (* (pow x -2) (/ 1 n))))) into (- (+ (/ (log x) (* (pow n 2) x)) (/ 1 (* n x))) (* 1/2 (/ 1 (* n (pow x 2))))) * [misc]approximate: Taking taylor expansion of (+ (/ (/ 1 (/ 1 n)) (/ 1 x)) (- (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1 n)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 (/ 1 n)) (/ 1 x)) (- (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1 n)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 n)) (/ 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 (/ 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 (/ n 1) into n * [misc]taylor: Taking taylor expansion of (- (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1 n)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 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 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 (* n (log x))) (/ 1 n)) into (* -1 (* (pow n 2) (log x))) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 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 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 (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 n) 1) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 (/ 1 n)) (/ 1 x)) (- (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1 n)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 n)) (/ 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 (/ 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 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (- (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1 n)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 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 (* x (log (/ 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 (/ (* x (log (/ 1 x))) 1) into (* x (log (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) 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]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 (/ 1 n)) (/ 1 x)) (- (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1 n)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 n)) (/ 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 (/ 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 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (- (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 1 n)) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) (/ 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 (* x (log (/ 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 (/ (* x (log (/ 1 x))) 1) into (* x (log (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) 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]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]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 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (- (* 1/2 (pow x 2))) into (- (* 1/2 (pow x 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (pow x 2)))) into (- (* 1/2 (pow x 2))) * [misc]backup-simplify: Simplify (+ x (- (* 1/2 (pow x 2)))) into (- x (* 1/2 (pow x 2))) * [misc]taylor: Taking taylor expansion of (- x (* 1/2 (pow x 2))) 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 (* 1/2 (pow x 2)) 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 (pow x 2) in x * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 x)) (+ (* x (/ 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* x (log (/ 1 x))) 0) into (* x (log (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 (* x (log (/ 1 x)))) into (* x (log (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* x (log (/ 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]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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (log x)))) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/2 1) 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 (+ (* -1/2 (* (pow (/ 1 x) 2) (/ 1 n))) (+ (* (- (log (/ 1 x))) (* (/ 1 x) (pow (/ 1 n) 2))) (* 1 (* (/ 1 x) (/ 1 n))))) into (- (/ 1 (* n x)) (+ (/ (log (/ 1 x)) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (+ (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (- (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1 (- n))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (- (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1 (- n))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- n))) (/ 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 (/ 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 n) -1) into n * [misc]taylor: Taking taylor expansion of (- (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1 (- n))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 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 (* n (- (log -1) (log 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 (/ (* n (- (log -1) (log x))) (/ -1 n)) into (* -1 (* (pow n 2) (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 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 (- 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 (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 n) 1) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (- (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1 (- n))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- n))) (/ 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 (/ 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 (/ -1 x)) into x * [misc]taylor: Taking taylor expansion of (- (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1 (- n))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 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 (* (log (/ -1 x)) 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 (/ (* (log (/ -1 x)) x) -1) into (* -1 (* (log (/ -1 x)) x)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) 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]taylor: Taking 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 (/ 1 (- n))) (/ 1 (- x))) (- (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1 (- n))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- n))) (/ 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 (/ 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 (/ -1 x)) into x * [misc]taylor: Taking taylor expansion of (- (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 1 (- n))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) (/ 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 (* (log (/ -1 x)) 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 (/ (* (log (/ -1 x)) x) -1) into (* -1 (* (log (/ -1 x)) x)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) 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]taylor: Taking 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]backup-simplify: Simplify (- (* -1/2 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ x (* 1/2 (pow x 2))) into (+ (* 1/2 (pow x 2)) x) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (pow x 2)) x) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) 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 (pow x 2) 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 1) 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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 x)) (+ (* x (/ 0 (/ -1 x))))) 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) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (log (/ -1 x)) x)) 0) into (- (* (log (/ -1 x)) x)) * [misc]backup-simplify: Simplify (+ 0 (- (* (log (/ -1 x)) x))) into (- (* (log (/ -1 x)) x)) * [misc]taylor: Taking taylor expansion of (- (* (log (/ -1 x)) x)) in x * [misc]taylor: Taking taylor expansion of (* (log (/ -1 x)) x) 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 -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [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 (log -1) * [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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (- (log -1) (log x))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (* 1/2 1) 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 (+ (* 1/2 (* (pow (/ 1 (- x)) 2) (/ 1 (- n)))) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- x)) (pow (/ 1 (- n)) 2))) (* 1 (* (/ 1 (- x)) (/ 1 (- n)))))) into (- (+ (/ (log -1) (* (pow n 2) x)) (/ 1 (* n x))) (+ (/ (log (/ -1 x)) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (log x) (* x n)) in (x n) around 0 * [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 (/ (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 (/ (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 (/ (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 (log x) into (log x) * [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]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 (- (/ 0 1) (+ (* (log x) (/ 0 1)))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ (log x) n) (/ 0 n)) (* 0 (/ 0 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 (/ (+ (* -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 1) (+ (* (log x) (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ (log x) n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (log x) (* (/ 1 n) (/ 1 x))) into (/ (log x) (* n x)) * [misc]approximate: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 x) (/ 1 n))) in (x n) around 0 * [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 (* x (log (/ 1 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 (/ (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 (* 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 (/ (+ (* 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 (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (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 (- (+ (* 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]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 (/ (* (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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (* n (log x))) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (log x)) (* 0 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 (/ (+ (* 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 (/ 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 (* n (log x))) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 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 (* (- (log (/ 1 x))) (* (/ 1 n) (/ 1 x))) into (* -1 (/ (log (/ 1 x)) (* n x))) * [misc]approximate: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) in (x n) around 0 * [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 (* (log (/ -1 x)) 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 (* n (- (log -1) (log 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 (* n (- (log -1) (log x))) * [misc]taylor: Taking taylor expansion of (* n (- (log -1) (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 -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]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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (log -1) (log x)))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) * [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)) (+ (* (* n (- (log -1) (log x))) (/ 0 (/ 1 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 (/ (+ (* -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 (+ (* 0 0) (+ (* 1 0) (* 0 (- (log -1) (log x))))) 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 (/ (+ (* -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 (- 0) into 0 * [misc]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)) (+ (* (* n (- (log -1) (log x))) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 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 (/ (+ (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (log -1) (log x)))))) 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 (- 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 (- 0) into 0 * [misc]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)) (+ (* (* n (- (log -1) (log x))) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 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 (* (- (log -1) (log (/ 1 (- x)))) (* (/ 1 (- n)) (/ 1 (- x)))) into (/ (- (log -1) (log (/ -1 x))) (* n x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1/2 n)) (log (* x x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (- (log (/ 1/2 n)) (log (* x x))) * [exit]simplify: Simplified to (- (log (/ 1/2 n)) (log (* x x))) * * * * [misc]progress: [ 3 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (log (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (log (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 4 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (exp (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (exp (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 5 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1/2 n) (/ 1/2 n)) (/ 1/2 n)) (* (* (* x x) (* x x)) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1/2 n) (* x x)) 3) * [exit]simplify: Simplified to (pow (/ (/ 1/2 n) (* x x)) 3) * * * * [misc]progress: [ 6 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) * [enter]simplify: Simplifying (cbrt (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (cbrt (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 7 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x))) (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (363 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1/2 n) (* x x)) 3) * [exit]simplify: Simplified to (pow (/ (/ 1/2 n) (* x x)) 3) * * * * [misc]progress: [ 8 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (sqrt (/ (/ 1/2 n) (* x x))) * [enter]simplify: Simplifying (sqrt (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (sqrt (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 9 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1/2 n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ 1/2 n)) * [exit]simplify: Simplified to (- (/ 1/2 n)) * [enter]simplify: Simplifying (- (* x x)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (- x) x) * [exit]simplify: Simplified to (* (- x) x) * * * * [misc]progress: [ 10 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1/2 n)) x) (cbrt (/ 1/2 n))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1/2 n)) x) (cbrt (/ 1/2 n))) * [enter]simplify: Simplifying (/ (cbrt (/ 1/2 n)) x) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1/2 n)) x) * [exit]simplify: Simplified to (/ (cbrt (/ 1/2 n)) x) * * * * [misc]progress: [ 11 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1/2 n)) x) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1/2 n)) x) * [exit]simplify: Simplified to (/ (sqrt (/ 1/2 n)) x) * [enter]simplify: Simplifying (/ (sqrt (/ 1/2 n)) x) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1/2 n)) x) * [exit]simplify: Simplified to (/ (sqrt (/ 1/2 n)) x) * * * * [misc]progress: [ 12 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (/ 1/2 n) x) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1/2 (* x n)) * [exit]simplify: Simplified to (/ 1/2 (* x n)) * * * * [misc]progress: [ 13 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 x) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/2 x) * [exit]simplify: Simplified to (/ 1/2 x) * [enter]simplify: Simplifying (/ (/ 1 n) x) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) n) * [exit]simplify: Simplified to (/ (/ 1 x) n) * * * * [misc]progress: [ 14 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [exit]simplify: Simplified to (/ (/ 1 x) x) * * * * [misc]progress: [ 16 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ 1/2 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * * * * [misc]progress: [ 17 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1/2 n) x) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1/2 (* x n)) * [exit]simplify: Simplified to (/ 1/2 (* x n)) * * * * [misc]progress: [ 18 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (cbrt (/ 1/2 n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (* x x) (cbrt (/ 1/2 n))) * [exit]simplify: Simplified to (/ (* x x) (cbrt (/ 1/2 n))) * * * * [misc]progress: [ 19 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (sqrt (/ 1/2 n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (* x x) (sqrt (/ 1/2 n))) * [exit]simplify: Simplified to (/ (* x x) (sqrt (/ 1/2 n))) * * * * [misc]progress: [ 20 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ 1/2 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * * * * [misc]progress: [ 21 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ 1 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (* n x) (/ x 1)) * [exit]simplify: Simplified to (* (* n x) (/ x 1)) * * * * [misc]progress: [ 22 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x x) n) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (* x (* x n)) * [exit]simplify: Simplified to (* x (* x n)) * * * * [misc]progress: [ 23 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ (/ (log x) (* x n)) n)) (exp (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (exp (- (/ (/ (log x) n) (* x n)) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (exp (- (/ (/ (log x) n) (* x n)) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 24 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (log (- (/ (log x) (* x (* n n))) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (log (- (/ (log x) (* x (* n n))) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 26 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (exp (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (exp (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 27 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) (cbrt (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ (log x) (* x n)) n) (/ (/ (- 1/2) (* x n)) x))) (cbrt (+ (/ (/ (log x) (* x n)) n) (/ (/ (- 1/2) (* x n)) x)))) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ (log x) (* x n)) n) (/ (/ (- 1/2) (* x n)) x))) (cbrt (+ (/ (/ (log x) (* x n)) n) (/ (/ (- 1/2) (* x n)) x)))) * [enter]simplify: Simplifying (cbrt (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (log x) (* x (* n n))) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (cbrt (- (/ (log x) (* x (* n n))) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 28 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (pow (- (/ (/ (log x) x) (* n n)) (/ (/ 1/2 n) (* x x))) 3) * [exit]simplify: Simplified to (pow (- (/ (/ (log x) x) (* n n)) (/ (/ 1/2 n) (* x x))) 3) * * * * [misc]progress: [ 29 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (log x) (* x (* n n))) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (sqrt (- (/ (log x) (* x (* n n))) (/ (/ 1/2 n) (* x x)))) * [enter]simplify: Simplifying (sqrt (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (log x) (* x (* n n))) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (sqrt (- (/ (log x) (* x (* n n))) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 30 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (log x) (* x n)) (* x x)) (* n (/ 1/2 n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (- (/ (log x) (/ n x)) 1/2) * [exit]simplify: Simplified to (- (/ (log x) (/ n x)) 1/2) * [enter]simplify: Simplifying (* n (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* n (* x x)) * [exit]simplify: Simplified to (* n (* x x)) * * * * [misc]progress: [ 31 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ (/ (log x) (* x n)) n) 3) (pow (/ (/ 1/2 n) (* x x)) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * [exit]simplify: Simplified to (+ (pow (/ (/ (log x) (* x n)) n) 3) (* (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x))) (- (/ (/ 1/2 n) (* x x))))) * [exit]simplify: Simplified to (+ (pow (/ (/ (log x) (* x n)) n) 3) (* (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x))) (- (/ (/ 1/2 n) (* x x))))) * [enter]simplify: Simplifying (+ (* (/ (/ (log x) (* x n)) n) (/ (/ (log x) (* x n)) n)) (+ (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x))) (* (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (+ (* (/ (/ (log x) (* x n)) n) (/ (/ (log x) (* x n)) n)) (* (/ (/ 1/2 n) (* x x)) (+ (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))))) * [exit]simplify: Simplified to (+ (* (/ (/ (log x) (* x n)) n) (/ (/ (log x) (* x n)) n)) (* (/ (/ 1/2 n) (* x x)) (+ (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))))) * * * * [misc]progress: [ 32 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (/ (- 1/2) (* x n)) x) * [exit]simplify: Simplified to (/ (/ (- 1/2) (* x n)) x) * * * * [misc]progress: [ 33 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (/ (log x) (* x n)) n) (/ (/ (log x) (* x n)) n)) (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (log x) x) (* n n)) (/ (/ (log x) x) (* n n))) (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (- (* (/ (/ (log x) x) (* n n)) (/ (/ (log x) x) (* n n))) (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x)))) * [enter]simplify: Simplifying (+ (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1/2 n) (* x x)) (/ (/ (log x) (* n n)) x)) * [exit]simplify: Simplified to (+ (/ (/ 1/2 n) (* x x)) (/ (/ (log x) (* n n)) x)) * * * * [misc]progress: [ 35 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ (/ (log x) (* x n)) n)) (sqrt (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ (log x) x) (* n n)))) * [exit]simplify: Simplified to (+ (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ (log x) x) (* n n)))) * [enter]simplify: Simplifying (- (sqrt (/ (/ (log x) (* x n)) n)) (sqrt (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (- (sqrt (/ (/ (log x) n) (* x n))) (sqrt (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (- (sqrt (/ (/ (log x) n) (* x n))) (sqrt (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 36 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ (/ (log x) (* x n)) n)) (/ (sqrt (/ 1/2 n)) x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ (/ (log x) (* n n)) x)) (/ (sqrt (/ 1/2 n)) x)) * [exit]simplify: Simplified to (+ (sqrt (/ (/ (log x) (* n n)) x)) (/ (sqrt (/ 1/2 n)) x)) * [enter]simplify: Simplifying (- (sqrt (/ (/ (log x) (* x n)) n)) (/ (sqrt (/ 1/2 n)) x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (- (sqrt (/ (/ (log x) n) (* x n))) (/ (sqrt (/ 1/2 n)) x)) * [exit]simplify: Simplified to (- (sqrt (/ (/ (log x) n) (* x n))) (/ (sqrt (/ 1/2 n)) x)) * * * * [misc]progress: [ 37 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (- (/ (/ (log x) n) (* x n)) (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (- (/ (/ (log x) n) (* x n)) (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 38 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (/ (- 1/2) (* x n)) x) * [exit]simplify: Simplified to (/ (/ (- 1/2) (* x n)) x) * * * * [misc]progress: [ 39 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ (/ 1 n) x)) (/ (exp (/ (/ (log x) (* x n)) n)) (exp (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (exp (+ (/ (/ (log x) x) (* n n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * [exit]simplify: Simplified to (exp (+ (/ (/ (log x) x) (* n n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * * * * [misc]progress: [ 40 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ (/ 1 n) x)) (exp (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (exp (- (/ (/ (log x) x) (* n n)) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))))) * [exit]simplify: Simplified to (exp (- (/ (/ (log x) x) (* n n)) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))))) * * * * [misc]progress: [ 41 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (log (+ (/ (/ (log x) x) (* n n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))))) * [exit]simplify: Simplified to (log (+ (/ (/ (log x) x) (* n n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))))) * * * * [misc]progress: [ 43 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (exp (- (/ (log x) (* (* x n) n)) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))))) * [exit]simplify: Simplified to (exp (- (/ (log x) (* (* x n) n)) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))))) * * * * [misc]progress: [ 44 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))))) (cbrt (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) (/ (/ (log x) (* x n)) n))) (cbrt (+ (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) (/ (/ (log x) (* x n)) n)))) * [exit]simplify: Simplified to (* (cbrt (+ (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) (/ (/ (log x) (* x n)) n))) (cbrt (+ (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) (/ (/ (log x) (* x n)) n)))) * [enter]simplify: Simplifying (cbrt (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ (/ (log x) x) (* n n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))))) * [exit]simplify: Simplified to (cbrt (+ (/ (/ (log x) x) (* n n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))))) * * * * [misc]progress: [ 45 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))))) (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * [exit]simplify: Simplified to (pow (- (/ (/ (log x) (* x n)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n)))) 3) * [exit]simplify: Simplified to (pow (- (/ (/ (log x) (* x n)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n)))) 3) * * * * [misc]progress: [ 46 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ (/ (log x) x) (* n n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))))) * [exit]simplify: Simplified to (sqrt (+ (/ (/ (log x) x) (* n n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))))) * [enter]simplify: Simplifying (sqrt (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ (/ (log x) x) (* n n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))))) * [exit]simplify: Simplified to (sqrt (+ (/ (/ (log x) x) (* n n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))))) * * * * [misc]progress: [ 47 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ 1 n) (* n (* x x))) (* x (- (* (/ (log x) (* x n)) (* x x)) (* n (/ 1/2 n))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (+ (* (/ (* x x) n) (log x)) (+ (* x x) (* (- x) (/ 1/2 1)))) * [exit]simplify: Simplified to (+ (* (/ (* x x) n) (log x)) (+ (* x x) (* (- x) (/ 1/2 1)))) * [enter]simplify: Simplifying (* x (* n (* x x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* (* x x) (* n x)) * [exit]simplify: Simplified to (* (* x x) (* n x)) * * * * [misc]progress: [ 48 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ 1 n) (+ (* (/ (/ (log x) (* x n)) n) (/ (/ (log x) (* x n)) n)) (+ (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x))) (* (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))))) (* x (- (pow (/ (/ (log x) (* x n)) n) 3) (pow (/ (/ 1/2 n) (* x x)) 3)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ (* (/ 1 n) (log x)) (* x (* n n))) (* (/ n (log x)) (* x n))) (* (+ (/ (/ 1/2 n) (* x x)) (/ (/ (log x) (* x n)) n)) (/ (* (/ 1 n) (/ 1/2 n)) (* x x)))) (* x (+ (* (/ (- 1/2) (* x (* x n))) (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x)))) (pow (/ (/ (log x) (* x n)) n) 3)))) * [exit]simplify: Simplified to (+ (+ (/ (/ (* (/ 1 n) (log x)) (* x (* n n))) (* (/ n (log x)) (* x n))) (* (+ (/ (/ 1/2 n) (* x x)) (/ (/ (log x) (* x n)) n)) (/ (* (/ 1 n) (/ 1/2 n)) (* x x)))) (* x (+ (* (/ (- 1/2) (* x (* x n))) (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x)))) (pow (/ (/ (log x) (* x n)) n) 3)))) * [enter]simplify: Simplifying (* x (+ (* (/ (/ (log x) (* x n)) n) (/ (/ (log x) (* x n)) n)) (+ (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x))) (* (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (+ (* (/ (* x (/ 1/2 n)) (* x x)) (+ (/ (/ (log x) x) (* n n)) (/ (/ 1/2 n) (* x x)))) (/ (* x (/ (log x) (* x n))) (* (/ n (log x)) (* n (* x n))))) * [exit]simplify: Simplified to (+ (* (/ (* x (/ 1/2 n)) (* x x)) (+ (/ (/ (log x) x) (* n n)) (/ (/ 1/2 n) (* x x)))) (/ (* x (/ (log x) (* x n))) (* (/ n (log x)) (* n (* x n))))) * * * * [misc]progress: [ 49 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ 1 n) (+ (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) (* x (- (* (/ (/ (log x) (* x n)) n) (/ (/ (log x) (* x n)) n)) (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ (/ 1/2 n) (* x x)) n) (/ (* (/ 1 n) (log x)) (* (* x n) n))) (+ (/ (* x (/ (log x) (* x n))) (* (/ n (log x)) (* (* x n) n))) (* (- (/ (/ 1/2 n) (* x x))) (* (/ (/ 1/2 n) (* x x)) x)))) * [exit]simplify: Simplified to (+ (+ (/ (/ (/ 1/2 n) (* x x)) n) (/ (* (/ 1 n) (log x)) (* (* x n) n))) (+ (/ (* x (/ (log x) (* x n))) (* (/ n (log x)) (* (* x n) n))) (* (- (/ (/ 1/2 n) (* x x))) (* (/ (/ 1/2 n) (* x x)) x)))) * [enter]simplify: Simplifying (* x (+ (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (+ (/ (log x) (* n n)) (/ (/ 1/2 x) n)) * [exit]simplify: Simplified to (+ (/ (log x) (* n n)) (/ (/ 1/2 x) n)) * * * * [misc]progress: [ 50 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ (/ 1 n) x) 3) (pow (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) 3)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (+ (pow (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) 3) (/ (/ 1 (* x n)) (* (* x n) (* x n)))) * [exit]simplify: Simplified to (+ (pow (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) 3) (/ (/ 1 (* x n)) (* (* x n) (* x n)))) * [enter]simplify: Simplifying (+ (* (/ (/ 1 n) x) (/ (/ 1 n) x)) (- (* (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) (* (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (- (* (+ (/ (/ (log x) n) (* x n)) (/ (/ (- 1/2) x) (* x n))) (+ (/ (/ (log x) n) (* x n)) (/ (/ (- 1/2) x) (* x n)))) (/ (- (/ (/ (log x) n) (* x n)) (- (/ (/ 1/2 n) (* x x)) (/ (- 1) (* x n)))) (* x n))) * [exit]simplify: Simplified to (- (* (+ (/ (/ (log x) n) (* x n)) (/ (/ (- 1/2) x) (* x n))) (+ (/ (/ (log x) n) (* x n)) (/ (/ (- 1/2) x) (* x n)))) (/ (- (/ (/ (log x) n) (* x n)) (- (/ (/ 1/2 n) (* x x)) (/ (- 1) (* x n)))) (* x n))) * * * * [misc]progress: [ 51 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (/ 1 n) x) (/ (/ 1 n) x)) (* (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* (+ (/ (/ (log x) n) (* x n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))) (- (+ (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) (/ (/ (log x) n) (* x n)))) * [exit]simplify: Simplified to (* (+ (/ (/ (log x) n) (* x n)) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))) (- (+ (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) (/ (/ (log x) n) (* x n)))) * [enter]simplify: Simplifying (- (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) (/ (/ (log x) (* x n)) n)) * [exit]simplify: Simplified to (- (+ (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x))) (/ (/ (log x) (* x n)) n)) * * * * [misc]progress: [ 53 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (+ (/ (/ (log x) (* n n)) x) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (+ (/ (/ (log x) (* n n)) x) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 54 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (+ (/ (/ (log x) (* n n)) x) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))) * [exit]simplify: Simplified to (+ (/ (/ (log x) (* n n)) x) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 55 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (/ (/ (log x) (* x n)) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* x n)) (/ (/ (log x) (* x n)) n)) * [exit]simplify: Simplified to (+ (/ 1 (* x n)) (/ (/ (log x) (* x n)) n)) * * * * [misc]progress: [ 56 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (/ (/ (log x) (* x n)) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* x n)) (/ (/ (log x) (* x n)) n)) * [exit]simplify: Simplified to (+ (/ 1 (* x n)) (/ (/ (log x) (* x n)) n)) * * * * [misc]progress: [ 57 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (/ (/ (log x) (* x n)) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* x n)) (/ (/ (log x) (* x n)) n)) * [exit]simplify: Simplified to (+ (/ 1 (* x n)) (/ (/ (log x) (* x n)) n)) * * * * [misc]progress: [ 58 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (log x)) (log (* x n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (log (log x)) (log (* n x))) * [exit]simplify: Simplified to (- (log (log x)) (log (* n x))) * * * * [misc]progress: [ 61 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (log x) (* x n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (log (/ (log x) (* x n))) * [exit]simplify: Simplified to (log (/ (log x) (* x n))) * * * * [misc]progress: [ 62 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (log x) (* x n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (/ (log x) (* x n))) * [exit]simplify: Simplified to (exp (/ (log x) (* x n))) * * * * [misc]progress: [ 63 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (log x) (log x)) (log x)) (* (* (* x n) (* x n)) (* x n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (pow (/ (log x) (* x n)) 3) * [exit]simplify: Simplified to (pow (/ (log x) (* x n)) 3) * * * * [misc]progress: [ 64 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (log x) (* x n))) (cbrt (/ (log x) (* x n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (log x) (* x n))) (cbrt (/ (log x) (* x n)))) * [exit]simplify: Simplified to (* (cbrt (/ (log x) (* x n))) (cbrt (/ (log x) (* x n)))) * [enter]simplify: Simplifying (cbrt (/ (log x) (* x n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ (log x) (* x n))) * [exit]simplify: Simplified to (cbrt (/ (log x) (* x n))) * * * * [misc]progress: [ 65 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (log x) (* x n)) (/ (log x) (* x n))) (/ (log x) (* x n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * [exit]simplify: Simplified to (pow (/ (log x) (* x n)) 3) * [exit]simplify: Simplified to (pow (/ (log x) (* x n)) 3) * * * * [misc]progress: [ 66 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (log x) (* x n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (log x) (* x n))) * [exit]simplify: Simplified to (sqrt (/ (log x) (* x n))) * [enter]simplify: Simplifying (sqrt (/ (log x) (* x n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (log x) (* x n))) * [exit]simplify: Simplified to (sqrt (/ (log x) (* x n))) * * * * [misc]progress: [ 67 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log x)) * [exit]simplify: Simplified to (- (log x)) * [enter]simplify: Simplifying (- (* x n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* x (- n)) * [exit]simplify: Simplified to (* x (- n)) * * * * [misc]progress: [ 68 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log x)) (cbrt (log x))) x) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (log x)) x) (cbrt (log x))) * [exit]simplify: Simplified to (* (/ (cbrt (log x)) x) (cbrt (log x))) * [enter]simplify: Simplifying (/ (cbrt (log x)) n) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt (log x)) n) * [exit]simplify: Simplified to (/ (cbrt (log x)) n) * * * * [misc]progress: [ 69 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log x)) x) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ (sqrt (log x)) x) * [exit]simplify: Simplified to (/ (sqrt (log x)) x) * [enter]simplify: Simplifying (/ (sqrt (log x)) n) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (log x)) n) * [exit]simplify: Simplified to (/ (sqrt (log x)) n) * * * * [misc]progress: [ 70 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (log x) n) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (log x) n) * [exit]simplify: Simplified to (/ (log x) n) * * * * [misc]progress: [ 71 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 89 ] 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)) * [exit]simplify: Simplified to (/ 1 (* n x)) * * * * [misc]progress: [ 73 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x n) (log x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (/ (* n x) (log x)) * [exit]simplify: Simplified to (/ (* n x) (log x)) * * * * [misc]progress: [ 74 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log x) x) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (/ (log x) x) * [exit]simplify: Simplified to (/ (log x) x) * * * * [misc]progress: [ 75 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x n) (cbrt (log x))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ (* n x) (cbrt (log x))) * [exit]simplify: Simplified to (/ (* n x) (cbrt (log x))) * * * * [misc]progress: [ 76 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x n) (sqrt (log x))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ (* n x) (sqrt (log x))) * [exit]simplify: Simplified to (/ (* n x) (sqrt (log x))) * * * * [misc]progress: [ 77 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x n) (log x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (/ (* n x) (log x)) * [exit]simplify: Simplified to (/ (* n x) (log x)) * * * * [misc]progress: [ 78 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ 1/2 (* n (pow x 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (- (/ (/ (log x) (* n n)) x) (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n))) * * * * [misc]progress: [ 79 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ 1/2 (* n (pow x 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (- (/ (/ (log x) (* n n)) x) (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n))) * * * * [misc]progress: [ 80 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ 1/2 (* n (pow x 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (- (/ (/ (log x) (* n n)) x) (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n))) * * * * [misc]progress: [ 81 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (- (/ (log x) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * [exit]simplify: Simplified to (- (/ (log x) (* x (* n n))) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n)))) * * * * [misc]progress: [ 82 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (- (+ (* 1/2 (/ 1 (* n (pow x 2)))) (/ (log (/ 1 x)) (* (pow n 2) x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (- (/ (/ (log x) (* x n)) n) (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x))) * * * * [misc]progress: [ 83 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (- (/ (log -1) (* (pow n 2) x)) (+ (/ (log (/ -1 x)) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ 1 n) x) (/ (/ 1/2 x) (* x n))) (/ (/ (log x) x) (* n n))) * * * * [misc]progress: [ 84 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log x) (* (pow n 2) x)) (/ 1 (* n x))) (* 1/2 (/ 1 (* n (pow x 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (/ (log x) (* n n)) x)) * * * * [misc]progress: [ 85 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* n x)) (+ (/ (log (/ 1 x)) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (+ (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n n) x))) * * * * [misc]progress: [ 86 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) (* (pow n 2) x)) (/ 1 (* n x))) (+ (/ (log (/ -1 x)) (* (pow n 2) x)) (* 1/2 (/ 1 (* n (pow x 2)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * * * * [misc]progress: [ 87 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* n x)) n) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (+ (/ (/ (log x) (* x n)) n) (- (/ (/ 1 x) n) (/ (/ 1/2 n) (* x x)))) * * * * [misc]progress: [ 88 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (- (/ (* -1 (/ (log (/ 1 x)) (* n x))) n) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (- (/ (/ (log x) (* x n)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n)))) * * * * [misc]progress: [ 89 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (/ 1 n) x) (- (/ (/ (- (log -1) (log (/ -1 x))) (* n x)) n) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (+ (/ (log x) (* (* x n) n)) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # #) * [misc]regimes: searching between 0.0 and 0.0 on (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]regimes: searching between 7.0853073998065e-262 and 1.5091145992652167e-264 on x * [misc]regimes: searching between 11.827663020386325 and 0.00026282016122580753 on x * [misc]regimes: searching between 4.159289095877205e+207 and 7.902799867486087e+206 on x * [misc]regimes: searching between -8.364078692623055e-05 and -0.00014778086274713128 on (/ 1 n) * [misc]regimes: searching between -6.194700733468567e-72 and -9.794696027322408e-60 on (/ 1 n) * [misc]regimes: searching between -1.062578652461119e-112 and -2.2552452269689823e-111 on (/ 1 n) * [misc]regimes: searching between -2.012140350004645e-133 and -6.2410099083695084e-133 on (/ 1 n) * [misc]regimes: searching between -4.287223016637928e-207 and -8.915877775124654e-201 on (/ 1 n) * [misc]regimes: searching between 1.4628272890402594e-221 and 2.8292733034701923e-228 on (/ 1 n) * [misc]regimes: searching between 6.117524891920841e-130 and 4.518414810807413e-132 on (/ 1 n) * [misc]regimes: searching between 2.1369909774311853e-96 and 2.1395656957223465e-101 on (/ 1 n) * [misc]regimes: searching between 9.194084538703953e-73 and 7.288801815129601e-78 on (/ 1 n) * [misc]regimes: searching between 6.29399876393987e-10 and 1.0503889525179834e-10 on (/ 1 n) * [misc]regimes: searching between -1.1215945588554448e+200 and -2.332512202232501e+206 on n * [misc]regimes: searching between -1.6023047786848563e+132 and -4.969832248519302e+132 on n * [misc]regimes: searching between -4.434107599659953e+110 and -9.41106804361093e+111 on n * [misc]regimes: searching between -1.0209607293687211e+59 and -1.614282986419709e+71 on n * [misc]regimes: searching between -6766.776031826977 and -11955.889426076053 on n * [misc]regimes: searching between 9520282916.178894 and 1588815056.2235374 on n * [misc]regimes: searching between 1.3719676091676244e+77 and 1.087655868064234e+72 on n * [misc]regimes: searching between 4.673845734203485e+100 and 4.679476940057421e+95 on n * [misc]regimes: searching between 2.213165550024625e+131 and 1.6346480278660707e+129 on n * [misc]regimes: searching between 3.5344764988715253e+227 and 6.836077009857302e+220 on n * [misc]regimes: searching between -1.1085766836755841e-38 and -1.2856483103526294e-37 on (+ (- (/ 1 (* x n)) (/ (/ 1/2 x) (* x n))) (/ (log x) (* (* n n) x))) * [misc]regimes: searching between 6.775254258121161e-75 and 3.15342465461934e-82 on (+ (- (/ 1 (* x n)) (/ (/ 1/2 x) (* x n))) (/ (log x) (* (* n n) x))) * [misc]regimes: searching between 7.801086212236654e+153 and 1.8603663891841456e+152 on (+ (- (/ 1 (* x n)) (/ (/ 1/2 x) (* x n))) (/ (log x) (* (* n n) x))) * [misc]regimes: searching between -1.1085766836755836e-38 and -1.2856483103526292e-37 on (+ (- (/ (* (cbrt (/ 1 n)) (cbrt (/ 1 n))) (/ x (cbrt (/ 1 n)))) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between 6.775254258121161e-75 and 3.15342465461934e-82 on (+ (- (/ (* (cbrt (/ 1 n)) (cbrt (/ 1 n))) (/ x (cbrt (/ 1 n)))) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between 8.869800159612382e+65 and 2.77846460115957e+59 on (+ (- (/ (* (cbrt (/ 1 n)) (cbrt (/ 1 n))) (/ x (cbrt (/ 1 n)))) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n))) * [misc]regimes: searching between -1.0242696385932292e-16 and -9.103796241012533e-13 on (- (- (- (pow (+ 1 x) (/ 1 n)) 1) (/ (* (log x) (/ 1/2 n)) (/ n (log x)))) (/ (log x) n)) * [misc]regimes: searching between -1.2099387686254059e-130 and -2.8959663972749354e-127 on (- (- (- (pow (+ 1 x) (/ 1 n)) 1) (/ (* (log x) (/ 1/2 n)) (/ n (log x)))) (/ (log x) n)) * [misc]regimes: searching between -2.8817356210164855e-226 and -2.6493309172750165e-198 on (- (- (- (pow (+ 1 x) (/ 1 n)) 1) (/ (* (log x) (/ 1/2 n)) (/ n (log x)))) (/ (log x) n)) * [misc]regimes: searching between 9.79454789603221e-290 and 1.9389528311899268e-290 on (- (- (- (pow (+ 1 x) (/ 1 n)) 1) (/ (* (log x) (/ 1/2 n)) (/ n (log x)))) (/ (log x) n)) * [misc]regimes: searching between 1.033733841568486e-271 and 1.6157947682520035e-273 on (- (- (- (pow (+ 1 x) (/ 1 n)) 1) (/ (* (log x) (/ 1/2 n)) (/ n (log x)))) (/ (log x) n)) * [misc]regimes: searching between 9.537714536789407e-110 and 2.918030857343154e-110 on (- (- (- (pow (+ 1 x) (/ 1 n)) 1) (/ (* (log x) (/ 1/2 n)) (/ n (log x)))) (/ (log x) n)) * [misc]regimes: searching between 6.617651288746858e-57 and 1.7527149676873932e-60 on (- (- (- (pow (+ 1 x) (/ 1 n)) 1) (/ (* (log x) (/ 1/2 n)) (/ n (log x)))) (/ (log x) n)) * [misc]regimes: searching between -1.1085766836755845e-38 and -1.2856483103526288e-37 on (/ (+ (pow (/ (/ 1 n) x) 3) (pow (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) 3)) (- (* (+ (/ (/ (log x) n) (* x n)) (/ (/ (- 1/2) x) (* x n))) (+ (/ (/ (log x) n) (* x n)) (/ (/ (- 1/2) x) (* x n)))) (/ (- (/ (/ (log x) n) (* x n)) (- (/ (/ 1/2 n) (* x x)) (/ (- 1) (* x n)))) (* x n)))) * [misc]regimes: searching between 6.775254258121162e-75 and 3.153424654619339e-82 on (/ (+ (pow (/ (/ 1 n) x) 3) (pow (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) 3)) (- (* (+ (/ (/ (log x) n) (* x n)) (/ (/ (- 1/2) x) (* x n))) (+ (/ (/ (log x) n) (* x n)) (/ (/ (- 1/2) x) (* x n)))) (/ (- (/ (/ (log x) n) (* x n)) (- (/ (/ 1/2 n) (* x x)) (/ (- 1) (* x n)))) (* x n)))) * [misc]regimes: searching between 8.869800159612382e+65 and 3.561986783985305e+59 on (/ (+ (pow (/ (/ 1 n) x) 3) (pow (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) 3)) (- (* (+ (/ (/ (log x) n) (* x n)) (/ (/ (- 1/2) x) (* x n))) (+ (/ (/ (log x) n) (* x n)) (/ (/ (- 1/2) x) (* x n)))) (/ (- (/ (/ (log x) n) (* x n)) (- (/ (/ 1/2 n) (* x x)) (/ (- 1) (* x n)))) (* x n)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (+ (pow (/ (/ 1 n) x) 3) (pow (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) 3)) (- (* (+ (/ (/ (log x) n) (* x n)) (/ (/ (- 1/2) x) (* x n))) (+ (/ (/ (log x) n) (* x n)) (/ (/ (- 1/2) x) (* x n)))) (/ (- (/ (/ (log x) n) (* x n)) (- (/ (/ 1/2 n) (* x x)) (/ (- 1) (* x n)))) (* x n)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (+ (pow (/ (/ 1 n) x) 3) (pow (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x))) 3)) (- (* (+ (/ (/ (log x) n) (* x n)) (/ (/ (- 1/2) x) (* x n))) (+ (/ (/ (log x) n) (* x n)) (/ (/ (- 1/2) x) (* x n)))) (/ (- (/ (/ (log x) n) (* x n)) (- (/ (/ 1/2 n) (* x x)) (/ (- 1) (* x n)))) (* x n)))) * [misc]regimes: searching between 6.775254258121127e-75 and 3.153424654619361e-82 on (exp (log (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))))) * [misc]regimes: searching between 8.869800159612274e+65 and 2.7784646011595525e+59 on (exp (log (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))))) * [misc]regimes: searching between +inf.0 and +inf.0 on (exp (log (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (exp (log (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (exp (log (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))))) * [misc]regimes: searching between +nan.0 and +nan.0 on (exp (log (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))))) * [misc]regimes: searching between -170.78060507961789 and -187.6634885712967 on (log (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n)))) * [misc]regimes: searching between 151.85068331076096 and 136.87441896003529 on (log (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n)))) * [misc]regimes: searching between +inf.0 and +inf.0 on (log (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (log (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (log (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n)))) * [misc]regimes: searching between +nan.0 and +nan.0 on (log (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n)))) * [misc]regimes: searching between -1.1085766836755842e-38 and -1.2856483103526292e-37 on (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between 6.775254258121161e-75 and 3.15342465461934e-82 on (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between 8.869800159612382e+65 and 2.77846460115957e+59 on (+ (- (/ (/ 1 n) x) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between -2.2969628506052107e+61 and -2.8897502097388514e+190 on (+ (/ (* (- x 1/2) (/ x n)) (pow x 3)) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between -1.1085766836755841e-38 and -1.2856483103526292e-37 on (+ (/ (* (- x 1/2) (/ x n)) (pow x 3)) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between 6.775254258121161e-75 and 1.3849235497353197e-97 on (+ (/ (* (- x 1/2) (/ x n)) (pow x 3)) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between 4.9662529104059667e+67 and 1.5929369688665996e+58 on (+ (/ (* (- x 1/2) (/ x n)) (pow x 3)) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between +nan.0 and +nan.0 on (+ (/ (* (- x 1/2) (/ x n)) (pow x 3)) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between 0.0 and -7.5363858708063e-274 on (+ (- (/ (sqrt (/ 1 n)) (/ x (sqrt (/ 1 n)))) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between +nan.0 and 1.3849235497353194e-97 on (+ (- (/ (sqrt (/ 1 n)) (/ x (sqrt (/ 1 n)))) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between +nan.0 and +nan.0 on (+ (- (/ (sqrt (/ 1 n)) (/ x (sqrt (/ 1 n)))) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between +nan.0 and +nan.0 on (+ (- (/ (sqrt (/ 1 n)) (/ x (sqrt (/ 1 n)))) (/ (/ 1/2 n) (* x x))) (/ (log x) (* (* n x) n))) * [misc]regimes: searching between 0.0 and 0.0 on (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (/ 1 n)) 3)) (+ (* (pow x (/ 1 n)) (pow x (/ 1 n))) (* (pow (+ 1 x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))) * [misc]regimes: searching between 0.0 and 0.0 on (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (/ 1 n)) 3)) (+ (* (pow x (/ 1 n)) (pow x (/ 1 n))) (* (pow (+ 1 x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))) * [misc]regimes: searching between 0.0 and 0.0 on (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (/ 1 n)) 3)) (+ (* (pow x (/ 1 n)) (pow x (/ 1 n))) (* (pow (+ 1 x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))) * [misc]regimes: searching between 0.0 and 0.0 on (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (/ 1 n)) 3)) (+ (* (pow x (/ 1 n)) (pow x (/ 1 n))) (* (pow (+ 1 x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))) * [misc]regimes: searching between 0.0 and 0.0 on (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (/ 1 n)) 3)) (+ (* (pow x (/ 1 n)) (pow x (/ 1 n))) (* (pow (+ 1 x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))) * [misc]regimes: searching between 0.0 and 0.0 on (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (/ 1 n)) 3)) (+ (* (pow x (/ 1 n)) (pow x (/ 1 n))) (* (pow (+ 1 x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))) * [misc]regimes: searching between 3.0314826427842827e-07 and 0.0 on (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (/ 1 n)) 3)) (+ (* (pow x (/ 1 n)) (pow x (/ 1 n))) (* (pow (+ 1 x) (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))) * [misc]regimes: searching between -1.1085766836755842e-38 and -1.2856483103526292e-37 on (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * [misc]regimes: searching between 6.775254258121161e-75 and 3.15342465461934e-82 on (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * [misc]regimes: searching between 8.869800159612382e+65 and 2.77846460115957e+59 on (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) * [misc]regimes: searching between -1.1085766836755841e-38 and -1.2856483103526294e-37 on (/ (+ (* (* (* x n) n) (* (/ x n) (- x 1/2))) (* (pow x 3) (log x))) (* (* x (* x x)) (* (* n x) n))) * [misc]regimes: searching between 6.775254258121162e-75 and 9.135808784606099e-104 on (/ (+ (* (* (* x n) n) (* (/ x n) (- x 1/2))) (* (pow x 3) (log x))) (* (* x (* x x)) (* (* n x) n))) * [misc]regimes: searching between 4.966252910405967e+67 and 1.5929369688665999e+58 on (/ (+ (* (* (* x n) n) (* (/ x n) (- x 1/2))) (* (pow x 3) (log x))) (* (* x (* x x)) (* (* n x) n))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (+ (* (* (* x n) n) (* (/ x n) (- x 1/2))) (* (pow x 3) (log x))) (* (* x (* x x)) (* (* n x) n))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (+ (* (* (* x n) n) (* (/ x n) (- x 1/2))) (* (pow x 3) (log x))) (* (* x (* x x)) (* (* n x) n))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (+ (* (* (* x n) n) (* (/ x n) (- x 1/2))) (* (pow x 3) (log x))) (* (* x (* x x)) (* (* n x) n))) * [misc]regimes: searching between +nan.0 and +nan.0 on (/ (+ (* (* (* x n) n) (* (/ x n) (- x 1/2))) (* (pow x 3) (log x))) (* (* x (* x x)) (* (* n x) n))) * [misc]regimes: searching between -4.784347767425861e-189 and -2.0988425826203409e-178 on (+ (/ (/ 1 n) x) (log (exp (- (/ (/ (log x) n) (* x n)) (/ (/ 1/2 n) (* x x)))))) * [misc]regimes: searching between 2.274825822927473e-62 and 1.384923547281091e-97 on (+ (/ (/ 1 n) x) (log (exp (- (/ (/ (log x) n) (* x n)) (/ (/ 1/2 n) (* x x)))))) * [misc]regimes: searching between +inf.0 and +inf.0 on (+ (/ (/ 1 n) x) (log (exp (- (/ (/ (log x) n) (* x n)) (/ (/ 1/2 n) (* x x)))))) * [misc]regimes: searching between +inf.0 and +inf.0 on (+ (/ (/ 1 n) x) (log (exp (- (/ (/ (log x) n) (* x n)) (/ (/ 1/2 n) (* x x)))))) * [misc]regimes: Found splitpoints: (#s(sp 0 (+ (- (/ 1 (* x n)) (/ (/ 1/2 x) (* x n))) (/ (log x) (* (* n n) x))) -7.533213007031442e-38) #s(sp 1 (+ (- (/ 1 (* x n)) (/ (/ 1/2 x) (* x n))) (/ (log x) (* (* n n) x))) 2.223130515316725e-75) #s(sp 0 (+ (- (/ 1 (* x n)) (/ (/ 1/2 x) (* x n))) (/ (log x) (* (* n n) x))) 4.112546575160632e+153) #s(sp 2 (+ (- (/ 1 (* x n)) (/ (/ 1/2 x) (* x n))) (/ (log x) (* (* n n) x))) +nan.0)) , with alts (# # #) * [enter]simplify: Simplifying (if (<= (+ (- (/ 1 (* x n)) (/ (/ 1/2 x) (* x n))) (/ (log x) (* (* n n) x))) -7.533213007031442e-38) (- (- (- (pow (+ 1 x) (/ 1 n)) 1) (/ (* (log x) (/ 1/2 n)) (/ n (log x)))) (/ (log x) n)) (if (<= (+ (- (/ 1 (* x n)) (/ (/ 1/2 x) (* x n))) (/ (log x) (* (* n n) x))) 2.223130515316725e-75) (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* x n)) n) (/ (/ 1/2 n) (* x x)))) (if (<= (+ (- (/ 1 (* x n)) (/ (/ 1/2 x) (* x n))) (/ (log x) (* (* n n) x))) 4.112546575160632e+153) (- (- (- (pow (+ 1 x) (/ 1 n)) 1) (/ (* (log x) (/ 1/2 n)) (/ n (log x)))) (/ (log x) n)) (- (cbrt (pow (pow (+ 1 x) (/ 1 n)) 3)) (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * [exit]simplify: Simplified to (if (<= (+ (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (log x) (* (* n n) x))) -7.533213007031442e-38) (- (- (- (pow (+ x 1) (/ 1 n)) 1) (/ (* (log x) (/ 1/2 n)) (/ n (log x)))) (/ (log x) n)) (if (<= (+ (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (log x) (* (* n n) x))) 2.223130515316725e-75) (+ (/ (/ 1 n) x) (- (/ (/ (log x) (* n x)) n) (/ (/ 1/2 n) (* x x)))) (if (<= (+ (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (log x) (* (* n n) x))) 4.112546575160632e+153) (- (- (- (pow (+ x 1) (/ 1 n)) 1) (/ (* (log x) (/ 1/2 n)) (/ n (log x)))) (/ (log x) n)) (- (cbrt (pow (pow (+ x 1) (/ 1 n)) 3)) (pow x (/ 1 n))))))