* [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 (11 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 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] 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 / 2 ] 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: simplifying candidates * * * * [misc]progress: [ 1 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (expm1 (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (expm1 (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 2 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log1p (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (log1p (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 3 / 47 ] 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: [ 4 / 47 ] 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: [ 5 / 47 ] 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: [ 6 / 47 ] 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: [ 7 / 47 ] 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: [ 8 / 47 ] 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: [ 9 / 47 ] 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) * [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: [ 10 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 47 ] 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 (12 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: [ 12 / 47 ] 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 (15 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: [ 13 / 47 ] 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 (13 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 (12 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: [ 14 / 47 ] 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 (14 enodes) * * [misc]simplify: iters left: 4 (16 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: [ 15 / 47 ] 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 (12 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 (12 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: [ 16 / 47 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (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 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (fma (pow x (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (* (pow (+ 1 x) (/ 1 n)) (pow (+ 1 x) (/ 1 n)))) * [exit]simplify: Simplified to (fma (pow x (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (* (pow (+ 1 x) (/ 1 n)) (pow (+ 1 x) (/ 1 n)))) * * * * [misc]progress: [ 17 / 47 ] 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: [ 18 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 47 ] 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 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 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: [ 20 / 47 ] 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 (13 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: [ 21 / 47 ] 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 (13 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: [ 22 / 47 ] 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 (11 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: [ 23 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (+ x 1) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (expm1 (pow (+ 1 x) (/ 1 n))) * [exit]simplify: Simplified to (expm1 (pow (+ 1 x) (/ 1 n))) * * * * [misc]progress: [ 24 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (+ x 1) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (log1p (pow (+ 1 x) (/ 1 n))) * [exit]simplify: Simplified to (log1p (pow (+ 1 x) (/ 1 n))) * * * * [misc]progress: [ 25 / 47 ] 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 (16 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (/ (log1p x) n) * [exit]simplify: Simplified to (/ (log1p x) n) * * * * [misc]progress: [ 26 / 47 ] 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 (16 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (/ (log1p x) n) * [exit]simplify: Simplified to (/ (log1p x) n) * * * * [misc]progress: [ 27 / 47 ] 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: [ 28 / 47 ] 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: [ 29 / 47 ] 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: [ 30 / 47 ] 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: [ 31 / 47 ] 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: [ 32 / 47 ] 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: [ 33 / 47 ] 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: [ 34 / 47 ] 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: [ 35 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 47 ] 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 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (log1p x) n) * [exit]simplify: Simplified to (/ (log1p x) n) * * * * [misc]progress: [ 37 / 47 ] 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: [ 38 / 47 ] 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: [ 39 / 47 ] 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: [ 40 / 47 ] 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: [ 41 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (exp (/ (log x) n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- 1 (exp (/ (log x) n))) * * * * [misc]progress: [ 43 / 47 ] 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 (41 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 44 / 47 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (+ 0 (+ (/ (log x) (* (* n x) n)) (- (/ 1 (* n x)) (/ (/ 1/2 n) (* x x))))) * * * * [misc]progress: [ 45 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- 1 (pow x (/ 1 n))) * * * * [misc]progress: [ 46 / 47 ] 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 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (- (- (+ (/ 1 (* x n)) 1) (/ (- (log x)) n)) (pow x (/ 1 n))) * * * * [misc]progress: [ 47 / 47 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ 1 n) x) (/ (log x) n)) (- 1 (pow x (/ 1 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 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in n * [misc]taylor: Taking taylor expansion of (log1p x) in n * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log (+ 1 x)) 1) into (log (+ 1 x)) * [misc]backup-simplify: Simplify (exp (/ (log1p x) n)) into (exp (/ (log1p 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 (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 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]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [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) 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 (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 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]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [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) 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 (- (/ -1/2 n) (+ (* (/ 1 n) (/ 0 n)))) 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 (- (/ 1/3 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (* 1/2 (/ 1 n))) (/ 0 n)))) 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 (- (exp (/ (log1p (/ 1 x)) (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p (/ 1 x)) (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [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]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (log (+ 1 (/ 1 x))) 1) 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 (- (exp (/ (log1p (/ 1 x)) (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 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]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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) 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 (/ (log1p (/ 1 x)) (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 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]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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) 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 (- (/ 1 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) 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 (- (/ -1/2 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))))) 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 (- (/ 1/3 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))) (* (- (* 1/2 n)) (/ 0 (/ 1 n))))) 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 (- (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [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]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 (/ 1 x))) -1) 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 (- (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- 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]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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) 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 (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- 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]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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) 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 (/ -1 n)) (+ (* (* -1 (* n (- (log -1) (log x)))) (/ 0 (/ -1 n))))) 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 (- (/ -1/2 (/ -1 n)) (+ (* (* -1 (* n (- (log -1) (log x)))) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))))) 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 (- (/ -1/3 (/ -1 n)) (+ (* (* -1 (* n (- (log -1) (log x)))) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))) (* (* 1/2 n) (/ 0 (/ -1 n))))) 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 1) * [misc]approximate: Taking taylor expansion of (/ (log1p x) n) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in n * [misc]taylor: Taking taylor expansion of (log1p x) in n * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log (+ 1 x)) 1) into (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 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]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [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) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 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]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [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) 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 into 1 * [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 (- (/ -1/2 n) (+ (* (/ 1 n) (/ 0 n)))) into (- (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 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 (- (/ 1/3 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (* 1/2 (/ 1 n))) (/ 0 n)))) into (* 1/3 (/ 1 n)) * [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]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (* (/ 1 n) (pow x 3))) (+ (* -1/2 (* (/ 1 n) (pow x 2))) (* 1 (* (/ 1 n) x)))) into (- (+ (* 1/3 (/ (pow x 3) n)) (/ x n)) (* 1/2 (/ (pow x 2) n))) * [misc]approximate: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [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]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (log (+ 1 (/ 1 x))) 1) into (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 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]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) (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 (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 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]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) (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 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 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into n * [misc]taylor: Taking taylor expansion of n in n * [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 (/ (* (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 (+ 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 (- (/ -1/2 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 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 (+ (* -1/2 (* (/ 1 n) (pow (/ 1 x) 2))) (+ (* 1 (* (/ 1 n) (/ 1 x))) (* (- (log (/ 1 x))) (* (/ 1 n) 1)))) into (- (/ 1 (* n x)) (+ (/ (log (/ 1 x)) n) (* 1/2 (/ 1 (* n (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [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]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 (/ 1 x))) -1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- 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]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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* n (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- 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]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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* n (- (log -1) (log x)))) * [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 (/ (+ (* 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 (* 0 (- (log -1) (log x))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) 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 (- (+ (* -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 (/ -1 n)) (+ (* (* -1 (* n (- (log -1) (log x)))) (/ 0 (/ -1 n))))) into n * [misc]taylor: Taking taylor expansion of n in n * [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 (/ (* (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 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 (- (/ -1/2 (/ -1 n)) (+ (* (* -1 (* n (- (log -1) (log x)))) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 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 (+ (* 1/2 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (+ (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)))) into (- (+ (/ (log -1) n) (/ 1 (* n x))) (+ (/ (log (/ -1 x)) n) (* 1/2 (/ 1 (* n (pow x 2)))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (log1p x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 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]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 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 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 into 1 * [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 -1/2 into -1/2 * [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 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow x 3)) (+ (* -1/2 (pow x 2)) (* 1 x))) into (- (+ (* 1/3 (pow x 3)) x) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 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]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 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 (- (log x)) into (- (log x)) * [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 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 -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (- (log (/ 1 x))))) into (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- 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]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- 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 (- (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 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 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 (- 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 -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))) into (- (+ (log -1) (/ 1 x)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (expm1 (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (expm1 (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 2 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log1p (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (log1p (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 3 / 52 ] 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: [ 4 / 52 ] 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: [ 5 / 52 ] 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: [ 6 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (exp (/ (log1p x) n))) (exp (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (exp (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (exp (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 7 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (log (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 9 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (exp (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (exp (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 10 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) (cbrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) (cbrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n))))) * [exit]simplify: Simplified to (* (cbrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) (cbrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n))))) * [enter]simplify: Simplifying (cbrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (cbrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 11 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (pow (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 3) * [exit]simplify: Simplified to (pow (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 3) * * * * [misc]progress: [ 12 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (sqrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * [enter]simplify: Simplifying (sqrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (sqrt (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 13 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (/ (log1p x) n)) 3) (pow (pow x (/ 1 n)) 3)) * * [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 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (pow (exp (+ 2 1)) (/ (log1p x) n)) (pow (pow x (/ 1 n)) 3)) * [exit]simplify: Simplified to (- (pow (exp (+ 2 1)) (/ (log1p x) n)) (pow (pow x (/ 1 n)) 3)) * [enter]simplify: Simplifying (+ (* (exp (/ (log1p x) n)) (exp (/ (log1p x) n))) (+ (* (pow x (/ 1 n)) (pow x (/ 1 n))) (* (exp (/ (log1p x) n)) (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (fma (exp (/ (log1p x) n)) (+ (exp (/ (log1p x) n)) (pow x (/ 1 n))) (* (pow x (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (fma (exp (/ (log1p x) n)) (+ (exp (/ (log1p x) n)) (pow x (/ 1 n))) (* (pow x (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 14 / 52 ] 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: [ 15 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (/ (log1p x) n)) (exp (/ (log1p x) n))) (* (pow x (/ 1 n)) (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) (/ n 2))) (* (pow x (/ 1 n)) (pow x (/ 1 n)))) * [exit]simplify: Simplified to (- (exp (/ (log1p x) (/ n 2))) (* (pow x (/ 1 n)) (pow x (/ 1 n)))) * [enter]simplify: Simplifying (+ (exp (/ (log1p x) n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (pow x (/ 1 n)) (exp (/ (log1p x) n))) * [exit]simplify: Simplified to (+ (pow x (/ 1 n)) (exp (/ (log1p x) n))) * * * * [misc]progress: [ 17 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (sqrt (exp (/ (log1p x) n)))) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (sqrt (exp (/ (log1p x) n)))) * [enter]simplify: Simplifying (- (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) * [exit]simplify: Simplified to (- (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) * * * * [misc]progress: [ 18 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * * * * [misc]progress: [ 19 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (log1p x) n)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (/ (log1p x) n)) * [exit]simplify: Simplified to (expm1 (/ (log1p x) n)) * * * * [misc]progress: [ 20 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (log1p x) n)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (/ (log1p x) n)) * [exit]simplify: Simplified to (log1p (/ (log1p x) n)) * * * * [misc]progress: [ 21 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (log1p x) n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (/ (log1p x) n)) * [exit]simplify: Simplified to (log (/ (log1p x) n)) * * * * [misc]progress: [ 23 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (log1p x) n)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (/ (log1p x) n)) * [exit]simplify: Simplified to (exp (/ (log1p x) n)) * * * * [misc]progress: [ 24 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (log1p x) n)) (cbrt (/ (log1p x) n))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (log1p x) n)) (cbrt (/ (log1p x) n))) * [exit]simplify: Simplified to (* (cbrt (/ (log1p x) n)) (cbrt (/ (log1p x) n))) * [enter]simplify: Simplifying (cbrt (/ (log1p x) n)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (log1p x) n)) * [exit]simplify: Simplified to (cbrt (/ (log1p x) n)) * * * * [misc]progress: [ 25 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (log1p x) n) (/ (log1p x) n)) (/ (log1p x) n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (pow (/ (log1p x) n) 3) * [exit]simplify: Simplified to (pow (/ (log1p x) n) 3) * * * * [misc]progress: [ 26 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (log1p x) n)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (log1p x) n)) * [exit]simplify: Simplified to (sqrt (/ (log1p x) n)) * [enter]simplify: Simplifying (sqrt (/ (log1p x) n)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (log1p x) n)) * [exit]simplify: Simplified to (sqrt (/ (log1p x) n)) * * * * [misc]progress: [ 27 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log1p x)) * [exit]simplify: Simplified to (- (log1p x)) * [enter]simplify: Simplifying (- n) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- n) * [exit]simplify: Simplified to (- n) * * * * [misc]progress: [ 28 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [exit]simplify: Simplified to (/ 1 n) * * * * [misc]progress: [ 30 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (/ n (log1p x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ n (log1p x)) * [exit]simplify: Simplified to (/ n (log1p x)) * * * * [misc]progress: [ 31 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (/ n (cbrt (log1p x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ n (cbrt (log1p x))) * [exit]simplify: Simplified to (/ n (cbrt (log1p x))) * * * * [misc]progress: [ 32 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (/ n (sqrt (log1p x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ n (sqrt (log1p x))) * [exit]simplify: Simplified to (/ n (sqrt (log1p x))) * * * * [misc]progress: [ 33 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (/ n (log1p x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ n (log1p x)) * [exit]simplify: Simplified to (/ n (log1p x)) * * * * [misc]progress: [ 34 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [exit]simplify: Simplified to (+ x 1) * * * * [misc]progress: [ 35 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 36 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (log1p x)) * [exit]simplify: Simplified to (log1p (log1p x)) * * * * [misc]progress: [ 37 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (log1p x)) * [exit]simplify: Simplified to (log (log1p x)) * * * * [misc]progress: [ 39 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (log1p x)) * [exit]simplify: Simplified to (exp (log1p x)) * * * * [misc]progress: [ 40 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p x)) (cbrt (log1p x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [enter]simplify: Simplifying (cbrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (log1p x)) * [exit]simplify: Simplified to (cbrt (log1p x)) * * * * [misc]progress: [ 41 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p x) (log1p x)) (log1p x)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (pow (log1p x) 3) * [exit]simplify: Simplified to (pow (log1p x) 3) * * * * [misc]progress: [ 42 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [exit]simplify: Simplified to (sqrt (log1p x)) * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [exit]simplify: Simplified to (sqrt (log1p x)) * * * * [misc]progress: [ 43 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (exp (/ (log x) n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- 1 (exp (/ (log x) n))) * * * * [misc]progress: [ 45 / 52 ] 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 (41 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 46 / 52 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (+ 0 (+ (/ (log x) (* (* n x) n)) (- (/ 1 (* n x)) (/ (/ 1/2 n) (* x x))))) * * * * [misc]progress: [ 47 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (+ (* 1/3 (/ (pow x 3) n)) (/ x n)) (* 1/2 (/ (pow x 2) n)))) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (fma (exp (/ (pow x 3) (/ n 1/3))) (exp (- (/ x n) (* (/ x n) (* 1/2 x)))) (- (pow x (/ 1 n)))) * * * * [misc]progress: [ 48 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (/ 1 (* n x)) (+ (/ (log (/ 1 x)) n) (* 1/2 (/ 1 (* n (pow x 2))))))) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (fma (exp (- (/ 1 (* x n)) (/ (log 1) n))) (exp (- (/ (log x) n) (/ (/ 1/2 n) (* x x)))) (- (pow x (/ 1 n)))) * * * * [misc]progress: [ 49 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (+ (/ (log -1) n) (/ 1 (* n x))) (+ (/ (log (/ -1 x)) n) (* 1/2 (/ 1 (* n (pow x 2))))))) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * [exit]simplify: Simplified to (- (exp (- (+ (/ (log x) n) (/ (/ 1 x) n)) (/ (/ 1/2 x) (* n x)))) (pow x (/ 1 n))) * * * * [misc]progress: [ 50 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ (- (+ (* 1/3 (pow x 3)) x) (* 1/2 (pow x 2))) n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (- (exp (/ (fma (* x x) (- (* x 1/3) 1/2) x) n)) (pow x (/ 1 n))) * * * * [misc]progress: [ 51 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (- (exp (/ (- (+ (/ 1 x) (log x)) (fma (/ 1 x) (/ 1/2 x) (log 1))) n)) (pow x (/ 1 n))) * * * * [misc]progress: [ 52 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ (- (+ (log -1) (/ 1 x)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (- (exp (/ (- (+ (/ 1 x) (log x)) (/ (/ 1/2 x) 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 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [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 2 2) * [misc]approximate: Taking taylor expansion of (* (* n n) x) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (* (* n n) x) in x * [misc]taylor: Taking taylor expansion of (* n n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [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 n) x) in n * [misc]taylor: Taking taylor expansion of (* n n) in n * [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 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 n) x) in n * [misc]taylor: Taking taylor expansion of (* n n) in n * [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 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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 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 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 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 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]approximate: Taking taylor expansion of (* (* (/ 1 n) (/ 1 n)) (/ 1 x)) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 n) (/ 1 n)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 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]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) (/ 1 n)) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 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]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) (/ 1 n)) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 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]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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 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 x) (/ 0 x)))) 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 (+ (* 1 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) 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 (+ (* 1 0) (+ (* 0 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 n) -2))) into (* (pow n 2) x) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 1 (- x))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 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]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)) (/ 1 (- n))) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 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]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)) (/ 1 (- n))) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 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]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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ -1 x)) into (/ -1 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 -1 into -1 * [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 (- 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 (+ (* 1 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 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 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 (- 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 (+ (* 1 0) (+ (* 0 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 1) (+ (* -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 (- 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 (- 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) into 0 * [misc]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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- n)) -2))) into (* (pow n 2) x) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* x n)) in n * [misc]taylor: Taking taylor expansion of (* x n) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1 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 (* x n)) (/ (/ 1/2 n) (* x x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* x n)) in x * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1 n) 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 (* x n)) (/ (/ 1/2 n) (* x x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* x n)) in x * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1 n) 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]backup-simplify: Simplify (- (/ 1/2 n)) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 n)))) into (- (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (/ 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 (+ (/ 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 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 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 (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 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 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 (+ (* 1/2 0) (+ (* 0 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 (* (/ 1 n) (/ 1 x))) (* -1/2 (* (/ 1 n) (pow x -2)))) into (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (* (/ 1 x) (/ 1 n))) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (/ 1 x) (/ 1 n))) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 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 x) (/ 1 n))) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) 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 x) (/ 1 n))) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) 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]backup-simplify: Simplify (+ n 0) into n * [misc]taylor: Taking taylor expansion of n in n * [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 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 (- (+ (* n (/ 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 0 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 (- (+ (* n (/ 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 0 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 (- (+ (* n (/ 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 (* (/ 1 n) (pow (/ 1 x) 2))) (* 1 (* (/ 1 n) (/ 1 x)))) into (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (* (/ 1 (- x)) (/ 1 (- n)))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (/ 1 (- x)) (/ 1 (- n)))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 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 (- x)) (/ 1 (- n)))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) 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 (- x)) (/ 1 (- n)))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) 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]backup-simplify: Simplify (+ n 0) into n * [misc]taylor: Taking taylor expansion of n in n * [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 (- 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 (- (+ (* n (/ 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 0 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 (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -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 0 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 (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (* 1 (* (/ 1 (- n)) (/ 1 (- x))))) into (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (- (log x)) (* (* n n) x)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (log x)) (* (* n n) x)) in n * [misc]taylor: Taking taylor expansion of (- (log x)) 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 n) x) in n * [misc]taylor: Taking taylor expansion of (* n n) in n * [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 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]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 x))) into x * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) x) into (* -1 (/ (log x) x)) * [misc]taylor: Taking taylor expansion of (/ (- (log x)) (* (* n n) x)) in x * [misc]taylor: Taking taylor expansion of (- (log 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 (* (* n n) x) in x * [misc]taylor: Taking taylor expansion of (* n n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [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]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* (pow n 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow n 2) 1) (* 0 0)) into (pow n 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (pow n 2)) into (* -1 (/ (log x) (pow n 2))) * [misc]taylor: Taking taylor expansion of (/ (- (log x)) (* (* n n) x)) in x * [misc]taylor: Taking taylor expansion of (- (log 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 (* (* n n) x) in x * [misc]taylor: Taking taylor expansion of (* n n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [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]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* (pow n 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow n 2) 1) (* 0 0)) into (pow n 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (pow n 2)) into (* -1 (/ (log x) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (log x) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (log 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 (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [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 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow n 2) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow n 2)) (+ (* (* -1 (/ (log x) (pow n 2))) (/ 0 (pow n 2))))) 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 (+ (* -1 0) (* 0 (log x))) 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) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow n 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow n 2)) (+ (* (* -1 (/ (log x) (pow n 2))) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) 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 (+ (* -1 0) (+ (* 0 0) (* 0 (log x)))) 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) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow n 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow n 2)) (+ (* (* -1 (/ (log x) (pow n 2))) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow n 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow n 2)) (+ (* (* -1 (/ (log x) (pow n 2))) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) 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 (log x)) (* (pow n -2) (/ 1 x))) into (* -1 (/ (log x) (* (pow n 2) x))) * [misc]approximate: Taking taylor expansion of (/ (- (log (/ 1 x))) (* (* (/ 1 n) (/ 1 n)) (/ 1 x))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (log (/ 1 x))) (* (* (/ 1 n) (/ 1 n)) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (- (log (/ 1 x))) 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 n)) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 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]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]backup-simplify: Simplify (- (log (/ 1 x))) into (- (log (/ 1 x))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (- (log (/ 1 x))) into (- (log (/ 1 x))) * [misc]backup-simplify: Simplify (/ (- (log (/ 1 x))) (/ 1 x)) into (* -1 (* x (log (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (- (log (/ 1 x))) (* (* (/ 1 n) (/ 1 n)) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (log (/ 1 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 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 n)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 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]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]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (- (log x))) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (/ 1 n)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow n 2)) 1) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (- (log x))) into (log x) * [misc]backup-simplify: Simplify (/ (log x) (/ 1 (pow n 2))) into (* (pow n 2) (log x)) * [misc]taylor: Taking taylor expansion of (/ (- (log (/ 1 x))) (* (* (/ 1 n) (/ 1 n)) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (log (/ 1 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 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 n)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 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]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]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (- (log x))) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (/ 1 n)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow n 2)) 1) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (- (log x))) into (log x) * [misc]backup-simplify: Simplify (/ (log x) (/ 1 (pow n 2))) 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) 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 (log x)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow n 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow n 2))) (+ (* (* (pow n 2) (log x)) (/ 0 (/ 1 (pow n 2)))))) 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) 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 (- (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow n 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow n 2))) (+ (* (* (pow n 2) (log x)) (/ 0 (/ 1 (pow n 2)))) (* 0 (/ 0 (/ 1 (pow n 2)))))) 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 (+ (* 1 0) (+ (* 0 0) (* 0 (log x)))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow n 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow n 2))) (+ (* (* (pow n 2) (log x)) (/ 0 (/ 1 (pow n 2)))) (* 0 (/ 0 (/ 1 (pow n 2)))) (* 0 (/ 0 (/ 1 (pow n 2)))))) 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)) (* (pow (/ 1 n) 2) (/ 1 x))) into (/ (log (/ 1 x)) (* (pow n 2) x)) * [misc]approximate: Taking taylor expansion of (/ (- (log (/ 1 (- x)))) (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 1 (- x)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (log (/ 1 (- x)))) (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- x)))) 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 (- n))) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 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]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]backup-simplify: Simplify (- (log (/ -1 x))) into (- (log (/ -1 x))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ -1 x)) into (/ -1 x) * [misc]backup-simplify: Simplify (- (log (/ -1 x))) into (- (log (/ -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 (- n)) (/ 1 (- n))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- 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 (- 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 (- n))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 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]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]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (- (log -1) (log x))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (* (/ -1 n) (/ -1 n)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow n 2)) -1) 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))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (/ -1 (pow n 2))) into (* -1 (* (pow n 2) (- (log x) (log -1)))) * [misc]taylor: Taking taylor expansion of (/ (- (log (/ 1 (- x)))) (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- 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 (- 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 (- n))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 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]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]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (- (log -1) (log x))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (* (/ -1 n) (/ -1 n)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow n 2)) -1) 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))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (/ (- (log x) (log -1)) (/ -1 (pow n 2))) into (* -1 (* (pow n 2) (- (log x) (log -1)))) * [misc]taylor: Taking taylor expansion of (* -1 (* (pow n 2) (- (log x) (log -1)))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (- (log x) (log -1))) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (- (log x) (log -1)) 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 (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 (- (log -1)) into (- (log -1)) * [misc]backup-simplify: Simplify (+ (log x) (- (log -1))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (* 1 (- (log x) (log -1))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (* -1 (- (log x) (log -1))) into (* -1 (- (log x) (log -1))) * [misc]backup-simplify: Simplify (* -1 (- (log x) (log -1))) into (* -1 (- (log x) (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 (- 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- 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 (+ (* (/ -1 n) 0) (* 0 (/ -1 n))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow n 2)) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (pow n 2))) (+ (* (* -1 (* (pow n 2) (- (log x) (log -1)))) (/ 0 (/ -1 (pow n 2)))))) 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) 1)) (pow x 1)))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log x) (log -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log x) (log -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 (/ (+ (* -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 (- 0) into 0 * [misc]backup-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 (- 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 (- 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) (+ (* 0 0) (* 0 (/ -1 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow n 2)) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (pow n 2))) (+ (* (* -1 (* (pow n 2) (- (log x) (log -1)))) (/ 0 (/ -1 (pow n 2)))) (* 0 (/ 0 (/ -1 (pow n 2)))))) 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 (/ (+ (* -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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log x) (log -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log x) (log -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 (/ (+ (* 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 (- 0) into 0 * [misc]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) 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 (- 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) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow n 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (pow n 2))) (+ (* (* -1 (* (pow n 2) (- (log x) (log -1)))) (/ 0 (/ -1 (pow n 2)))) (* 0 (/ 0 (/ -1 (pow n 2)))) (* 0 (/ 0 (/ -1 (pow n 2)))))) 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 (- (log (/ 1 (- x))) (log -1))) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) into (/ (- (log (/ -1 x)) (log -1)) (* (pow n 2) x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (expm1 (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 2 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log1p (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (log1p (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 3 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1/2 n)) (log (* x x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (25 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: [ 5 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (log (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (log (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 6 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (exp (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 7 / 106 ] 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 (22 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1/2 x) (* x n)) 3) * [exit]simplify: Simplified to (pow (/ (/ 1/2 x) (* x n)) 3) * * * * [misc]progress: [ 8 / 106 ] 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 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/2 x) (* x n))) (cbrt (/ (/ 1/2 x) (* x n)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/2 x) (* x n))) (cbrt (/ (/ 1/2 x) (* x n)))) * [enter]simplify: Simplifying (cbrt (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (cbrt (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 9 / 106 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1/2 x) (* x n)) 3) * [exit]simplify: Simplified to (pow (/ (/ 1/2 x) (* x n)) 3) * * * * [misc]progress: [ 10 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 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 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (sqrt (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 11 / 106 ] 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: [ 12 / 106 ] 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: [ 13 / 106 ] 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: [ 14 / 106 ] 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: [ 15 / 106 ] 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: [ 16 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 106 ] 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: [ 18 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ 1/2 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * * * * [misc]progress: [ 19 / 106 ] 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: [ 20 / 106 ] 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: [ 21 / 106 ] 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: [ 22 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ 1/2 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * * * * [misc]progress: [ 23 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ 1 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (* n x) (/ 1 x)) * [exit]simplify: Simplified to (/ (* n x) (/ 1 x)) * * * * [misc]progress: [ 24 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x x) n) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* x (* x n)) * [exit]simplify: Simplified to (* x (* x n)) * * * * [misc]progress: [ 25 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* n n) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (expm1 (* x (* n n))) * [exit]simplify: Simplified to (expm1 (* x (* n n))) * * * * [misc]progress: [ 26 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* n n) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (log1p (* x (* n n))) * [exit]simplify: Simplified to (log1p (* x (* n n))) * * * * [misc]progress: [ 27 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* n n) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (fma 2 (log n) (log x)) * [exit]simplify: Simplified to (fma 2 (log n) (log x)) * * * * [misc]progress: [ 29 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* n n) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (exp (* (* n x) n)) * [exit]simplify: Simplified to (exp (* (* n x) n)) * * * * [misc]progress: [ 30 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* n n) x)) (cbrt (* (* n n) x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* n (* n x))) (cbrt (* n (* n x)))) * [exit]simplify: Simplified to (* (cbrt (* n (* n x))) (cbrt (* n (* n x)))) * [enter]simplify: Simplifying (cbrt (* (* n n) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (* x (* n n))) * [exit]simplify: Simplified to (cbrt (* x (* n n))) * * * * [misc]progress: [ 31 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* n n) x) (* (* n n) x)) (* (* n n) x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (pow (* x (* n n)) 3) * [exit]simplify: Simplified to (pow (* x (* n n)) 3) * * * * [misc]progress: [ 32 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* n n) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* x (* n n))) * [exit]simplify: Simplified to (sqrt (* x (* n n))) * [enter]simplify: Simplifying (sqrt (* (* n n) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* x (* n n))) * [exit]simplify: Simplified to (sqrt (* x (* n n))) * * * * [misc]progress: [ 33 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* n x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* x n) * [exit]simplify: Simplified to (* x n) * * * * [misc]progress: [ 35 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (expm1 (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (expm1 (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 37 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log1p (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (log1p (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 38 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * * * * [misc]progress: [ 39 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * * * * [misc]progress: [ 40 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * * * * [misc]progress: [ 41 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * * * * [misc]progress: [ 42 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 (* x n))) (exp (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (exp (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 43 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (log (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 45 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ 1 (* x 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 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (exp (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 46 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) (cbrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) (cbrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) (cbrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))))) * [enter]simplify: Simplifying (cbrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (cbrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 47 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (pow (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) 3) * [exit]simplify: Simplified to (pow (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) 3) * * * * [misc]progress: [ 48 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (sqrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [enter]simplify: Simplifying (sqrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (sqrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 49 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 (* x x)) (* (* x n) (/ 1/2 n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* x (- x (* 1 1/2))) * [exit]simplify: Simplified to (* x (- x (* 1 1/2))) * [enter]simplify: Simplifying (* (* x n) (* x x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (* n x) (* x x)) * [exit]simplify: Simplified to (* (* n x) (* x x)) * * * * [misc]progress: [ 50 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 (* x n)) 3) (pow (/ (/ 1/2 n) (* x x)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (- (/ 1 (pow (* n x) 3)) (pow (/ (/ 1/2 n) (* x x)) 3)) * [exit]simplify: Simplified to (- (/ 1 (pow (* n x) 3)) (pow (/ (/ 1/2 n) (* x x)) 3)) * [enter]simplify: Simplifying (+ (* (/ 1 (* x n)) (/ 1 (* x n))) (+ (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x))) (* (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (fma (/ (/ 1/2 n) (* x x)) (* (/ 1 x) (fma (/ 1 n) (/ 1/2 x) (/ 1 n))) (* (/ 1 (* n x)) (/ 1 (* n x)))) * [exit]simplify: Simplified to (fma (/ (/ 1/2 n) (* x x)) (* (/ 1 x) (fma (/ 1 n) (/ 1/2 x) (/ 1 n))) (* (/ 1 (* n x)) (/ 1 (* n x)))) * * * * [misc]progress: [ 51 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * * * * [misc]progress: [ 52 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (* x n)) (/ 1 (* x n))) (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (* (+ (/ (/ 1/2 x) (* n x)) (/ 1 (* n x))) (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (* (+ (/ (/ 1/2 x) (* n x)) (/ 1 (* n x))) (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [enter]simplify: Simplifying (+ (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) * [exit]simplify: Simplified to (+ (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) * * * * [misc]progress: [ 54 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 (* x n))) (sqrt (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 (* n x))) (sqrt (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 (* n x))) (sqrt (/ (/ 1/2 x) (* n x)))) * [enter]simplify: Simplifying (- (sqrt (/ 1 (* x n))) (sqrt (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 (* n x))) (sqrt (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (- (sqrt (/ 1 (* n x))) (sqrt (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 55 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 (* x n))) (/ (sqrt (/ 1/2 n)) x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (/ (sqrt (/ 1/2 n)) x) (sqrt (/ 1 (* n x)))) * [exit]simplify: Simplified to (+ (/ (sqrt (/ 1/2 n)) x) (sqrt (/ 1 (* n x)))) * [enter]simplify: Simplifying (- (sqrt (/ 1 (* x n))) (/ (sqrt (/ 1/2 n)) x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 (* n x))) (/ (sqrt (/ 1/2 n)) x)) * [exit]simplify: Simplified to (- (sqrt (/ 1 (* n x))) (/ (sqrt (/ 1/2 n)) x)) * * * * [misc]progress: [ 56 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) * [exit]simplify: Simplified to (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) * * * * [misc]progress: [ 57 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) * [exit]simplify: Simplified to (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) * * * * [misc]progress: [ 58 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- (log x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (log x)) (* (* n x) n))) * [exit]simplify: Simplified to (expm1 (/ (- (log x)) (* (* n x) n))) * * * * [misc]progress: [ 59 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- (log x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (log1p (/ (- (log x)) (* (* n x) n))) * [exit]simplify: Simplified to (log1p (/ (- (log x)) (* (* n x) n))) * * * * [misc]progress: [ 60 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (log x))) (log (* (* n n) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (log (- (log x))) (fma 2 (log n) (log x))) * [exit]simplify: Simplified to (- (log (- (log x))) (fma 2 (log n) (log x))) * * * * [misc]progress: [ 62 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (log x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (log (/ (- (log x)) (* x (* n n)))) * [exit]simplify: Simplified to (log (/ (- (log x)) (* x (* n n)))) * * * * [misc]progress: [ 63 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (log x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (exp (/ (- (log x)) (* (* n x) n))) * [exit]simplify: Simplified to (exp (/ (- (log x)) (* (* n x) n))) * * * * [misc]progress: [ 64 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (log x)) (- (log x))) (- (log x))) (* (* (* (* n n) x) (* (* n n) x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (- (log x)) (* (log x) (log x))) (pow (* x (* n n)) 3)) * [exit]simplify: Simplified to (/ (* (- (log x)) (* (log x) (log x))) (pow (* x (* n n)) 3)) * * * * [misc]progress: [ 65 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (log x)) (* (* n n) x))) (cbrt (/ (- (log x)) (* (* n n) x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (log x)) (* x (* n n)))) (cbrt (/ (- (log x)) (* x (* n n))))) * [exit]simplify: Simplified to (* (cbrt (/ (- (log x)) (* x (* n n)))) (cbrt (/ (- (log x)) (* x (* n n))))) * [enter]simplify: Simplifying (cbrt (/ (- (log x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (log x)) (* (* n x) n))) * [exit]simplify: Simplified to (cbrt (/ (- (log x)) (* (* n x) n))) * * * * [misc]progress: [ 66 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (log x)) (* (* n n) x)) (/ (- (log x)) (* (* n n) x))) (/ (- (log x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (pow (/ (- (log x)) (* x (* n n))) 3) * [exit]simplify: Simplified to (pow (/ (- (log x)) (* x (* n n))) 3) * * * * [misc]progress: [ 67 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (log x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (log x)) (* (* n x) n))) * [exit]simplify: Simplified to (sqrt (/ (- (log x)) (* (* n x) n))) * [enter]simplify: Simplifying (sqrt (/ (- (log x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (log x)) (* (* n x) n))) * [exit]simplify: Simplified to (sqrt (/ (- (log x)) (* (* n x) n))) * * * * [misc]progress: [ 68 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log x))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (log x) * [exit]simplify: Simplified to (log x) * [enter]simplify: Simplifying (- (* (* n n) x)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (- n) (* n x)) * [exit]simplify: Simplified to (* (- n) (* n x)) * * * * [misc]progress: [ 69 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* (* n n) x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (/ (log x) (* (* n n) x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ (log x) n) (* x n)) * [exit]simplify: Simplified to (/ (/ (log x) n) (* x n)) * * * * [misc]progress: [ 70 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (log x))) (cbrt (- (log x)))) (* n n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (log x))) n) (/ (cbrt (- (log x))) n)) * [exit]simplify: Simplified to (* (/ (cbrt (- (log x))) n) (/ (cbrt (- (log x))) n)) * [enter]simplify: Simplifying (/ (cbrt (- (log x))) x) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (log x))) x) * [exit]simplify: Simplified to (/ (cbrt (- (log x))) x) * * * * [misc]progress: [ 71 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (log x))) (* n n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (log x))) (* n n)) * [exit]simplify: Simplified to (/ (sqrt (- (log x))) (* n n)) * [enter]simplify: Simplifying (/ (sqrt (- (log x))) x) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (log x))) x) * [exit]simplify: Simplified to (/ (sqrt (- (log x))) x) * * * * [misc]progress: [ 72 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* n n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 n) n) * [exit]simplify: Simplified to (/ (/ 1 n) n) * [enter]simplify: Simplifying (/ (- (log x)) x) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (- (log x)) x) * [exit]simplify: Simplified to (/ (- (log x)) x) * * * * [misc]progress: [ 73 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (* n n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ -1 (* n n)) * [exit]simplify: Simplified to (/ -1 (* n n)) * [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: [ 74 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (log x)) (cbrt (log x)))) (* n n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (log x))) (/ (* n n) (cbrt (log x)))) * [exit]simplify: Simplified to (/ (- (cbrt (log x))) (/ (* n n) (cbrt (log x)))) * [enter]simplify: Simplifying (/ (cbrt (log x)) x) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ (cbrt (log x)) x) * [exit]simplify: Simplified to (/ (cbrt (log x)) x) * * * * [misc]progress: [ 75 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (log x))) (* n n)) * * [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 (/ (- (sqrt (log x))) (* n n)) * [exit]simplify: Simplified to (/ (- (sqrt (log x))) (* n n)) * [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) * * * * [misc]progress: [ 76 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) (* n n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ (- 1) (* n n)) * [exit]simplify: Simplified to (/ (- 1) (* n n)) * [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: [ 77 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log x)) (cbrt (log x))) (* n n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (log x)) n) (/ (cbrt (log x)) n)) * [exit]simplify: Simplified to (* (/ (cbrt (log x)) n) (/ (cbrt (log x)) n)) * [enter]simplify: Simplifying (/ (- (cbrt (log x))) x) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (log x))) x) * [exit]simplify: Simplified to (/ (- (cbrt (log x))) x) * * * * [misc]progress: [ 78 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log x)) (* n n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (log x)) (* n n)) * [exit]simplify: Simplified to (/ (sqrt (log x)) (* n n)) * [enter]simplify: Simplifying (/ (- (sqrt (log x))) x) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (log x))) x) * [exit]simplify: Simplified to (/ (- (sqrt (log x))) x) * * * * [misc]progress: [ 79 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* n n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 n) n) * [exit]simplify: Simplified to (/ (/ 1 n) n) * [enter]simplify: Simplifying (/ (- (log x)) x) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (- (log x)) x) * [exit]simplify: Simplified to (/ (- (log x)) x) * * * * [misc]progress: [ 80 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (* n n) x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 n) (* x n)) * [exit]simplify: Simplified to (/ (/ 1 n) (* x n)) * * * * [misc]progress: [ 82 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* n n) x) (- (log x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (* n x) n) (- (log x))) * [exit]simplify: Simplified to (/ (* (* n x) n) (- (log x))) * * * * [misc]progress: [ 83 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log x) (* (* n n) x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ (log x) n) (* x n)) * [exit]simplify: Simplified to (/ (/ (log x) n) (* x n)) * * * * [misc]progress: [ 84 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (log x)) (* n n)) * * [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 (- (/ (log x) (* n n))) * [exit]simplify: Simplified to (- (/ (log x) (* n n))) * * * * [misc]progress: [ 85 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* n n) x) (cbrt (- (log x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (* n (* n x)) (cbrt (- (log x)))) * [exit]simplify: Simplified to (/ (* n (* n x)) (cbrt (- (log x)))) * * * * [misc]progress: [ 86 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* n n) x) (sqrt (- (log x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (* n (* n x)) (sqrt (- (log x)))) * [exit]simplify: Simplified to (/ (* n (* n x)) (sqrt (- (log x)))) * * * * [misc]progress: [ 87 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* n n) x) (- (log x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (* n x) n) (- (log x))) * [exit]simplify: Simplified to (/ (* (* n x) n) (- (log x))) * * * * [misc]progress: [ 88 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* n n) x) (log x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* n n) (/ (log x) x)) * [exit]simplify: Simplified to (/ (* n n) (/ (log x) x)) * * * * [misc]progress: [ 89 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* n n) x) (cbrt (log x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (* (* n x) n) (cbrt (log x))) * [exit]simplify: Simplified to (/ (* (* n x) n) (cbrt (log x))) * * * * [misc]progress: [ 90 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* n n) x) (sqrt (log x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (* (* n x) n) (sqrt (log x))) * [exit]simplify: Simplified to (/ (* (* n x) n) (sqrt (log x))) * * * * [misc]progress: [ 91 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* n n) x) (log x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* n n) (/ (log x) x)) * [exit]simplify: Simplified to (/ (* n n) (/ (log x) x)) * * * * [misc]progress: [ 92 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* n n) x) (- (cbrt (log x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (* n (* n x)) (- (cbrt (log x)))) * [exit]simplify: Simplified to (/ (* n (* n x)) (- (cbrt (log x)))) * * * * [misc]progress: [ 93 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* n n) x) (- (sqrt (log x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (* n (* n x)) (- (sqrt (log x)))) * [exit]simplify: Simplified to (/ (* n (* n x)) (- (sqrt (log x)))) * * * * [misc]progress: [ 94 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* n n) x) (- (log x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (* n x) n) (- (log x))) * [exit]simplify: Simplified to (/ (* (* n x) n) (- (log x))) * * * * [misc]progress: [ 95 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ 1/2 (* n (pow x 2)))) (/ (- (log x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 96 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ 1/2 (* n (pow x 2)))) (/ (- (log x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 97 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ 1/2 (* n (pow x 2)))) (/ (- (log x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 98 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) 0)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (- (/ (log x) 0))) * * * * [misc]progress: [ 99 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (pow n 2) x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 100 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (pow n 2) x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 101 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) (/ (- (log x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 102 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) (/ (- (log x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 103 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) (/ (- (log x)) (* (* n n) x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 104 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (* -1 (/ (log x) (* (pow n 2) x)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (- (/ 1 (* n x)) (fma (/ -1 x) (/ (log x) (* n n)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 105 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (log (/ 1 x)) (* (pow n 2) x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 106 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log (/ -1 x)) (log -1)) (* (pow n 2) x))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (- 0 (/ (/ (log x) (* n x)) n))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (log1p (* (* n n) x)) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (* (* n n) x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (* (* n n) x))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (* n n) 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 (* (* n n) x) in x * [misc]taylor: Taking taylor expansion of (* n n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [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]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* (pow n 2) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (* (* n n) x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (* n n) x))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (* n n) 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 n) x) in n * [misc]taylor: Taking taylor expansion of (* n n) in n * [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 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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (* (* n n) x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (* n n) x))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (* n n) 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 n) x) in n * [misc]taylor: Taking taylor expansion of (* n n) in n * [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 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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) 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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 x))) into x * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 x) 1)) (pow 1 1)))) 2) 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 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]approximate: Taking taylor expansion of (log1p (* (* (/ 1 n) (/ 1 n)) (/ 1 x))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (* (* (/ 1 n) (/ 1 n)) (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (* (* (/ 1 n) (/ 1 n)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (* (/ 1 n) (/ 1 n)) (/ 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 n) (/ 1 n)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 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]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]backup-simplify: Simplify (* (/ 1 n) (/ 1 n)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow n 2)) 1) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow n 2))) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow n 2))) into (log (/ 1 (pow n 2))) * [misc]taylor: Taking taylor expansion of (log1p (* (* (/ 1 n) (/ 1 n)) (/ 1 x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (* (/ 1 n) (/ 1 n)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (* (/ 1 n) (/ 1 n)) (/ 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 n) (/ 1 n)) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 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]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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 0 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]taylor: Taking taylor expansion of (log1p (* (* (/ 1 n) (/ 1 n)) (/ 1 x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (* (/ 1 n) (/ 1 n)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (* (/ 1 n) (/ 1 n)) (/ 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 n) (/ 1 n)) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 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]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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 0 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log n)) (log (/ 1 x))) into (- (log (/ 1 x)) (* 2 (log n))) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 x)) (* 2 (log 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 (* 2 (log n)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (- (* 2 (log n))) into (- (* 2 (log n))) * [misc]backup-simplify: Simplify (+ (- (log x)) (- (* 2 (log n)))) into (- (+ (log x) (* 2 (log n)))) * [misc]backup-simplify: Simplify (- (+ (log x) (* 2 (log n)))) into (- (+ (log x) (* 2 (log n)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) 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 (+ (* 1 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 x) 1)))) 1) 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)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) 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 (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (/ 1 x) 1)))) 2) 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 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 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 x) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (/ 1 x) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 x) 1)))) 6) 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 (- (+ (log (/ 1 x)) (* 2 (log (/ 1 n))))) into (- (+ (* 2 (log (/ 1 n))) (log (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (log1p (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 1 (- x)))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 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 (- n)) (/ 1 (- n))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 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]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]backup-simplify: Simplify (* (/ -1 n) (/ -1 n)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow n 2)) -1) into (/ -1 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1 (pow n 2))) into (- (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (log (- (/ 1 (pow n 2)))) into (log (- (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (log1p (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 1 (- x)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 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 (- n)) (/ 1 (- n))) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 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]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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ -1 x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (log (- (/ 1 x))) into (log (- (/ 1 x))) * [misc]taylor: Taking taylor expansion of (log1p (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 1 (- x)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 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 (- n)) (/ 1 (- n))) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 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]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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ -1 x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (log (- (/ 1 x))) into (log (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log n)) (log (- (/ 1 x)))) into (- (log (- (/ 1 x))) (* 2 (log n))) * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 x))) (* 2 (log 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (- (* 2 (log n))) into (- (* 2 (log n))) * [misc]backup-simplify: Simplify (+ (- (log -1) (log x)) (- (* 2 (log n)))) into (- (log -1) (+ (log x) (* 2 (log n)))) * [misc]backup-simplify: Simplify (- (log -1) (+ (log x) (* 2 (log n)))) into (- (log -1) (+ (log x) (* 2 (log n)))) * [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 (- 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 (+ (* 1 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (/ 1 x)) 1)))) 1) 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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- 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 (+ (* 1 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (/ 1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (- (/ 1 x)) 1)))) 2) into (* -1 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 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- 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) into 0 * [misc]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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (/ 1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (- (/ 1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (/ 1 x)) 1)))) 6) 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 (- (log -1) (+ (log (/ 1 (- x))) (* 2 (log (/ 1 (- n)))))) into (- (log -1) (+ (log (/ -1 x)) (* 2 (log (/ -1 n))))) * * * * [misc]progress: [ 2 / 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: [ 3 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (* n n) x) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (* (* n n) x) in x * [misc]taylor: Taking taylor expansion of (* n n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [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 n) x) in n * [misc]taylor: Taking taylor expansion of (* n n) in n * [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 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 n) x) in n * [misc]taylor: Taking taylor expansion of (* n n) in n * [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 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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 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 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 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 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]approximate: Taking taylor expansion of (* (* (/ 1 n) (/ 1 n)) (/ 1 x)) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 n) (/ 1 n)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 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]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) (/ 1 n)) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 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]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) (/ 1 n)) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 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]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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 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 x) (/ 0 x)))) 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 (+ (* 1 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) 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 (+ (* 1 0) (+ (* 0 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 n) -2))) into (* (pow n 2) x) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 1 (- x))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- n)) (/ 1 (- n))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 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]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)) (/ 1 (- n))) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 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]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)) (/ 1 (- n))) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 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]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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ -1 x)) into (/ -1 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 -1 into -1 * [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 (- 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 (+ (* 1 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 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 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 (- 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 (+ (* 1 0) (+ (* 0 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 1) (+ (* -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 (- 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 (- 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) into 0 * [misc]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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- n)) -2))) into (* (pow n 2) x) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* x n)) in n * [misc]taylor: Taking taylor expansion of (* x n) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1 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 (* x n)) (/ (/ 1/2 n) (* x x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* x n)) in x * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1 n) 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 (* x n)) (/ (/ 1/2 n) (* x x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* x n)) in x * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1 n) 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]backup-simplify: Simplify (- (/ 1/2 n)) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 n)))) into (- (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (/ 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 (+ (/ 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 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 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 (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 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 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 (+ (* 1/2 0) (+ (* 0 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 (* (/ 1 n) (/ 1 x))) (* -1/2 (* (/ 1 n) (pow x -2)))) into (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (* (/ 1 x) (/ 1 n))) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (/ 1 x) (/ 1 n))) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 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 x) (/ 1 n))) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) 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 x) (/ 1 n))) (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) 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]backup-simplify: Simplify (+ n 0) into n * [misc]taylor: Taking taylor expansion of n in n * [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 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 (- (+ (* n (/ 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 0 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 (- (+ (* n (/ 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 0 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 (- (+ (* n (/ 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 (* (/ 1 n) (pow (/ 1 x) 2))) (* 1 (* (/ 1 n) (/ 1 x)))) into (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (* (/ 1 (- x)) (/ 1 (- n)))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (/ 1 (- x)) (/ 1 (- n)))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 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 (- x)) (/ 1 (- n)))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) 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 (- x)) (/ 1 (- n)))) (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) 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]backup-simplify: Simplify (+ n 0) into n * [misc]taylor: Taking taylor expansion of n in n * [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 (- 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 (- (+ (* n (/ 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 0 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 (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -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 0 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 (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (* 1 (* (/ 1 (- n)) (/ 1 (- x))))) into (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* (* n n) x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fma (* n n) x 1) * [exit]simplify: Simplified to (fma (* n n) x 1) * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (* (* n n) x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* n (* n x)) * [exit]simplify: Simplified to (* n (* n x)) * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (* (* n n) x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log1p (log1p (* n (* n x)))) * [exit]simplify: Simplified to (log1p (log1p (* n (* n x)))) * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (* (* n n) x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (log1p (* n (* n x)))) * [exit]simplify: Simplified to (log (log1p (* n (* n x)))) * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (* (* n n) x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (exp (log1p (* n (* n x)))) * [exit]simplify: Simplified to (exp (log1p (* n (* n x)))) * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (* (* n n) x))) (cbrt (log1p (* (* n n) x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (* (* n x) n))) (cbrt (log1p (* (* n x) n)))) * [exit]simplify: Simplified to (* (cbrt (log1p (* (* n x) n))) (cbrt (log1p (* (* n x) n)))) * [enter]simplify: Simplifying (cbrt (log1p (* (* n n) x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (log1p (* n (* n x)))) * [exit]simplify: Simplified to (cbrt (log1p (* n (* n x)))) * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (* (* n n) x)) (log1p (* (* n n) x))) (log1p (* (* n n) x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (pow (log1p (* (* n x) n)) 3) * [exit]simplify: Simplified to (pow (log1p (* (* n x) n)) 3) * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (* (* n n) x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (log1p (* n (* n x)))) * [exit]simplify: Simplified to (sqrt (log1p (* n (* n x)))) * [enter]simplify: Simplifying (sqrt (log1p (* (* n n) x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (log1p (* n (* n x)))) * [exit]simplify: Simplified to (sqrt (log1p (* n (* n x)))) * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (expm1 (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log1p (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (log1p (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1/2 n)) (log (* x x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (25 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: [ 16 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (log (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (log (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (exp (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 18 / 80 ] 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 (22 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1/2 x) (* x n)) 3) * [exit]simplify: Simplified to (pow (/ (/ 1/2 x) (* x n)) 3) * * * * [misc]progress: [ 19 / 80 ] 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 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/2 x) (* x n))) (cbrt (/ (/ 1/2 x) (* x n)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/2 x) (* x n))) (cbrt (/ (/ 1/2 x) (* x n)))) * [enter]simplify: Simplifying (cbrt (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (cbrt (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 20 / 80 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1/2 x) (* x n)) 3) * [exit]simplify: Simplified to (pow (/ (/ 1/2 x) (* x n)) 3) * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 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 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1/2 n) (* x x))) * [exit]simplify: Simplified to (sqrt (/ (/ 1/2 n) (* x x))) * * * * [misc]progress: [ 22 / 80 ] 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: [ 23 / 80 ] 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: [ 24 / 80 ] 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: [ 25 / 80 ] 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: [ 26 / 80 ] 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: [ 27 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 80 ] 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: [ 29 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ 1/2 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * * * * [misc]progress: [ 30 / 80 ] 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: [ 31 / 80 ] 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: [ 32 / 80 ] 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: [ 33 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ 1/2 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * [exit]simplify: Simplified to (/ (* n x) (/ 1/2 x)) * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ 1 n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (* n x) (/ 1 x)) * [exit]simplify: Simplified to (/ (* n x) (/ 1 x)) * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x x) n) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* x (* x n)) * [exit]simplify: Simplified to (* x (* x n)) * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* n n) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (expm1 (* x (* n n))) * [exit]simplify: Simplified to (expm1 (* x (* n n))) * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* n n) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (log1p (* x (* n n))) * [exit]simplify: Simplified to (log1p (* x (* n n))) * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* n n) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (fma 2 (log n) (log x)) * [exit]simplify: Simplified to (fma 2 (log n) (log x)) * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* n n) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (exp (* (* n x) n)) * [exit]simplify: Simplified to (exp (* (* n x) n)) * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* n n) x)) (cbrt (* (* n n) x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* n (* n x))) (cbrt (* n (* n x)))) * [exit]simplify: Simplified to (* (cbrt (* n (* n x))) (cbrt (* n (* n x)))) * [enter]simplify: Simplifying (cbrt (* (* n n) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (* x (* n n))) * [exit]simplify: Simplified to (cbrt (* x (* n n))) * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* n n) x) (* (* n n) x)) (* (* n n) x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (pow (* x (* n n)) 3) * [exit]simplify: Simplified to (pow (* x (* n n)) 3) * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* n n) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* x (* n n))) * [exit]simplify: Simplified to (sqrt (* x (* n n))) * [enter]simplify: Simplifying (sqrt (* (* n n) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* x (* n n))) * [exit]simplify: Simplified to (sqrt (* x (* n n))) * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* n x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* x n) * [exit]simplify: Simplified to (* x n) * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (expm1 (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (expm1 (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log1p (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (log1p (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 (* x n))) (exp (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (exp (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (log (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ 1 (* x 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 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (exp (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 57 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) (cbrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) (cbrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) (cbrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))))) * [enter]simplify: Simplifying (cbrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (cbrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (pow (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) 3) * [exit]simplify: Simplified to (pow (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) 3) * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (sqrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [enter]simplify: Simplifying (sqrt (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (sqrt (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 (* x x)) (* (* x n) (/ 1/2 n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* x (- x (* 1 1/2))) * [exit]simplify: Simplified to (* x (- x (* 1 1/2))) * [enter]simplify: Simplifying (* (* x n) (* x x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (* n x) (* x x)) * [exit]simplify: Simplified to (* (* n x) (* x x)) * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 (* x n)) 3) (pow (/ (/ 1/2 n) (* x x)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (- (/ 1 (pow (* n x) 3)) (pow (/ (/ 1/2 n) (* x x)) 3)) * [exit]simplify: Simplified to (- (/ 1 (pow (* n x) 3)) (pow (/ (/ 1/2 n) (* x x)) 3)) * [enter]simplify: Simplifying (+ (* (/ 1 (* x n)) (/ 1 (* x n))) (+ (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x))) (* (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (fma (/ (/ 1/2 n) (* x x)) (* (/ 1 x) (fma (/ 1 n) (/ 1/2 x) (/ 1 n))) (* (/ 1 (* n x)) (/ 1 (* n x)))) * [exit]simplify: Simplified to (fma (/ (/ 1/2 n) (* x x)) (* (/ 1 x) (fma (/ 1 n) (/ 1/2 x) (/ 1 n))) (* (/ 1 (* n x)) (/ 1 (* n x)))) * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * [exit]simplify: Simplified to (/ (- (/ 1/2 x)) (* x n)) * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (* x n)) (/ 1 (* x n))) (* (/ (/ 1/2 n) (* x x)) (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (* (+ (/ (/ 1/2 x) (* n x)) (/ 1 (* n x))) (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (* (+ (/ (/ 1/2 x) (* n x)) (/ 1 (* n x))) (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x)))) * [enter]simplify: Simplifying (+ (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) * [exit]simplify: Simplified to (+ (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 (* x n))) (sqrt (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 (* n x))) (sqrt (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 (* n x))) (sqrt (/ (/ 1/2 x) (* n x)))) * [enter]simplify: Simplifying (- (sqrt (/ 1 (* x n))) (sqrt (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 (* n x))) (sqrt (/ (/ 1/2 x) (* n x)))) * [exit]simplify: Simplified to (- (sqrt (/ 1 (* n x))) (sqrt (/ (/ 1/2 x) (* n x)))) * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 (* x n))) (/ (sqrt (/ 1/2 n)) x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (/ (sqrt (/ 1/2 n)) x) (sqrt (/ 1 (* n x)))) * [exit]simplify: Simplified to (+ (/ (sqrt (/ 1/2 n)) x) (sqrt (/ 1 (* n x)))) * [enter]simplify: Simplifying (- (sqrt (/ 1 (* x n))) (/ (sqrt (/ 1/2 n)) x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 (* n x))) (/ (sqrt (/ 1/2 n)) x)) * [exit]simplify: Simplified to (- (sqrt (/ 1 (* n x))) (/ (sqrt (/ 1/2 n)) x)) * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) * [exit]simplify: Simplified to (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) * [exit]simplify: Simplified to (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (expm1 0))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (- (log x)) (expm1 0))) * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (expm1 (- (+ (* 2 (log (/ 1 n))) (log (/ 1 x))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (- (log x)) (expm1 (fma 2 (log n) (log x))))) * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (expm1 (- (log -1) (+ (log (/ -1 x)) (* 2 (log (/ -1 n)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (- (log x)) (expm1 (- (log x) (+ (log (/ -1 n)) (log (/ -1 n))))))) * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ 1/2 (* n (pow x 2)))) (/ (- (log x)) (expm1 (log1p (* (* n n) x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 73 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ 1/2 (* n (pow x 2)))) (/ (- (log x)) (expm1 (log1p (* (* n n) x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 74 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ 1/2 (* n (pow x 2)))) (/ (- (log x)) (expm1 (log1p (* (* n n) x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (expm1 (log1p 0)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (- (/ (log x) 0))) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (expm1 (log1p (* (pow n 2) x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (expm1 (log1p (* (pow n 2) x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) (/ (- (log x)) (expm1 (log1p (* (* n n) x))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) (/ (- (log x)) (expm1 (log1p (* (* n n) x))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (* n n) x))) * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 (* n x)) (* 1/2 (/ 1 (* n (pow x 2))))) (/ (- (log x)) (expm1 (log1p (* (* n n) x))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (* (* n n) 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 33308140858.053852 and 15500383261.503944 on x * [misc]regimes: searching between 7.681502661168396e+90 and 1.3183997883072952e+87 on x * [misc]regimes: searching between 8.831513320449218e+159 and 8.948997203760864e+154 on x * [misc]regimes: searching between 3.881446233819101e+207 and 8.575889281534265e+206 on x * [misc]regimes: searching between -6.909826967076733e-05 and -109030.69939012376 on (/ 1 n) * [misc]regimes: searching between 23118169277.367264 and 9.667604623973737e-06 on (/ 1 n) * [misc]regimes: searching between -9.171728747899624e-06 and -14472.14242505206 on n * [misc]regimes: searching between 103438.23924286259 and 4.325602031900519e-11 on n * [misc]regimes: searching between 0.0 and -1.824160739616258e-242 on (- (fma (sqrt (/ 1 (* x n))) (sqrt (/ 1 (* x n))) (- (/ (/ 1/2 n) (* x x)))) (/ (- (log x)) (* (* n n) x))) * [misc]regimes: searching between +nan.0 and +nan.0 on (- (fma (sqrt (/ 1 (* x n))) (sqrt (/ 1 (* x n))) (- (/ (/ 1/2 n) (* x x)))) (/ (- (log x)) (* (* n n) x))) * [misc]regimes: searching between -7.155914815113068e-52 and -2.8373878529457045e-43 on (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (expm1 (exp (log (log1p (* (* n n) x))))))) * [misc]regimes: searching between 7.246593379923939e-134 and 9.440573309322912e-143 on (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (expm1 (exp (log (log1p (* (* n n) x))))))) * [misc]regimes: searching between -0.0009440534290429403 and -835958.3066985884 on (+ (+ (/ (/ 1 n) x) (/ (log x) n)) (- 1 (pow x (/ 1 n)))) * [misc]regimes: searching between 3.989851818861573e-09 and 2.527431109027019e-17 on (+ (+ (/ (/ 1 n) x) (/ (log x) n)) (- 1 (pow x (/ 1 n)))) * [misc]regimes: searching between -0.0009440534290429126 and -835958.3066985884 on (- (- (+ (/ 1 (* x n)) 1) (/ (- (log x)) n)) (pow x (/ 1 n))) * [misc]regimes: searching between 3.9898517822933854e-09 and 0.0 on (- (- (+ (/ 1 (* x n)) 1) (/ (- (log x)) 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)) (fma (pow x (/ 1 n)) (+ (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (* (pow (+ 1 x) (/ 1 n)) (pow (+ 1 x) (/ 1 n))))) * [misc]regimes: searching between -7.15591481511307e-52 and -2.8373878529457045e-43 on (- (fma (* (cbrt (/ 1 (* x n))) (cbrt (/ 1 (* x n)))) (cbrt (/ 1 (* x n))) (- (/ (/ 1/2 n) (* x x)))) (/ (- (log x)) (* (* n n) x))) * [misc]regimes: searching between 7.246593379922997e-134 and 9.440573309322914e-143 on (- (fma (* (cbrt (/ 1 (* x n))) (cbrt (/ 1 (* x n)))) (cbrt (/ 1 (* x n))) (- (/ (/ 1/2 n) (* x x)))) (/ (- (log x)) (* (* n n) x))) * [misc]regimes: searching between -7.155914815113068e-52 and -2.8373878529457045e-43 on (- (cbrt (pow (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) 3)) (/ (- (log x)) (* (* n n) x))) * [misc]regimes: searching between 7.246593577979172e-134 and 4.8059847729910954e-151 on (- (cbrt (pow (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) 3)) (/ (- (log x)) (* (* n n) x))) * [misc]regimes: searching between 0.0 and 0.0 on (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]regimes: searching between 0.0 and 0.0 on (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (- (+ (/ 1 (* x n)) 1) (/ (- (log x)) n)) (pow x (/ 1 n))) -165.82519293662233) #s(sp 1 (- (- (+ (/ 1 (* x n)) 1) (/ (- (log x)) n)) (pow x (/ 1 n))) 4.987314727866732e-10) #s(sp 0 (- (- (+ (/ 1 (* x n)) 1) (/ (- (log x)) n)) (pow x (/ 1 n))) +nan.0)) , with alts (# #) * [enter]simplify: Simplifying (if (<= (- (- (+ (/ 1 (* x n)) 1) (/ (- (log x)) n)) (pow x (/ 1 n))) -165.82519293662233) (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (if (<= (- (- (+ (/ 1 (* x n)) 1) (/ (- (log x)) n)) (pow x (/ 1 n))) 4.987314727866732e-10) (- (- (/ 1 (* x n)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (expm1 (exp (log (log1p (* (* n n) x))))))) (- (exp (/ (log1p x) n)) (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * [exit]simplify: Simplified to (if (<= (- (- (+ (/ 1 (* n x)) 1) (- (/ (log x) n))) (pow x (/ 1 n))) -165.82519293662233) (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (if (<= (- (- (+ (/ 1 (* n x)) 1) (- (/ (log x) n))) (pow x (/ 1 n))) 4.987314727866732e-10) (- (- (/ 1 (* n x)) (/ (/ 1/2 n) (* x x))) (/ (- (log x)) (expm1 (exp (log (log1p (* (* n n) x))))))) (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))))