* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (/ 2 (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 * [misc]backup-simplify: Simplify 5/24 into 5/24 * [misc]backup-simplify: Simplify (+ (* 5/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 (pow x 4)) (+ (* 1 (pow x 2)) 2)) into (+ 2 (+ (pow x 2) (* 1/12 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 x))) (exp (/ 1 x))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 x))) (exp (/ 1 x))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]approximate: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (+ (- (* 5/24 (pow x 4)) (* (* x x) 1/2)) 1) * * * * [misc]progress: [ 2 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (/ 1 x)) (exp (/ (- 1) x)))) * * * * [misc]progress: [ 3 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) * * * * [misc]progress: [ 4 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ 2 (+ (pow x 2) (* 1/12 (pow x 4))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ 2 (+ (+ 2 (* x x)) (* 1/12 (pow x 4)))) * * * * [misc]progress: [ 5 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (/ 1 x)) (exp (/ (- 1) x)))) * * * * [misc]progress: [ 6 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) * * * * [misc]progress: [ 7 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 9 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (exp (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (exp (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 10 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (cbrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 11 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * * * * [misc]progress: [ 12 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [enter]simplify: Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 13 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [exit]simplify: Simplified to (- 2) * [enter]simplify: Simplifying (- (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (exp x)) (- (exp x))) * [exit]simplify: Simplified to (+ (/ (- 1) (exp x)) (- (exp x))) * * * * [misc]progress: [ 14 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 16 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp x) (exp (- x))) 2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (+ (exp (- x)) (exp x)) 2) * [exit]simplify: Simplified to (/ (+ (exp (- x)) (exp x)) 2) * * * * [misc]progress: [ 17 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ 2 (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ 2 (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 18 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ 2 (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 19 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 2 1) * [exit]simplify: Simplified to (/ 2 1) * * * * [misc]progress: [ 20 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 2 1) * [exit]simplify: Simplified to (/ 2 1) * * * * [misc]progress: [ 21 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3))) * * * * [misc]progress: [ 22 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ 2 (- (exp (+ x x)) (pow (exp x) (- 2)))) * [exit]simplify: Simplified to (/ 2 (- (exp (+ x x)) (pow (exp x) (- 2)))) * * * * [misc]progress: [ 23 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (exp x)) (exp (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (+ (exp x) (exp (- x)))) * [exit]simplify: Simplified to (exp (+ (exp x) (exp (- x)))) * * * * [misc]progress: [ 24 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (log (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 26 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (exp (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 27 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x)))) * [enter]simplify: Simplifying (cbrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (cbrt (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 28 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) 3) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) 3) * * * * [misc]progress: [ 29 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 30 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (exp x) 3) (pow (exp (- x)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (+ (exp (- (- x) (+ x x))) (pow (exp x) 3)) * [exit]simplify: Simplified to (+ (exp (- (- x) (+ x x))) (pow (exp x) 3)) * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (- (pow (exp 2) (- x)) (- 1 (exp (+ x x)))) * [exit]simplify: Simplified to (- (pow (exp 2) (- x)) (- 1 (exp (+ x x)))) * * * * [misc]progress: [ 31 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* (exp x) (exp x)) (pow (exp x) (- 2))) * [exit]simplify: Simplified to (- (* (exp x) (exp x)) (pow (exp x) (- 2))) * [enter]simplify: Simplifying (- (exp x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- (exp x) (exp (- x))) * [exit]simplify: Simplified to (- (exp x) (exp (- x))) * * * * [misc]progress: [ 33 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (exp (- x)) (exp x)) * [exit]simplify: Simplified to (+ (exp (- x)) (exp x)) * * * * [misc]progress: [ 34 / 34 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 * [misc]backup-simplify: Simplify 5/24 into 5/24 * [misc]backup-simplify: Simplify (+ (* 5/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 * [misc]backup-simplify: Simplify 5/24 into 5/24 * [misc]backup-simplify: Simplify (+ (* 5/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4 * [misc]backup-simplify: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 * [misc]backup-simplify: Simplify (/ (- 5/24 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 7/96 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 * [misc]backup-simplify: Simplify (/ (- 5/24 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 7/96 * [misc]backup-simplify: Simplify (+ (* 1 7/96) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 7/96 1))))) into 5/24 * [misc]backup-simplify: Simplify 5/24 into 5/24 * [misc]backup-simplify: Simplify (+ (* 5/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)) (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2))) into (/ (pow (sqrt 2) 2) (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (pow (sqrt 2) 2) (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)) 0) (* 0 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sqrt 2) 2) (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)) (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2))) into (/ (pow (sqrt 2) 2) (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)) 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ -1 x)) (exp (/ 1 x)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 (pow x 4)) (+ (* 1 (pow x 2)) 2)) into (+ 2 (+ (pow x 2) (* 1/12 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 x))) (exp (/ 1 x))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 x))) (exp (/ 1 x))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]approximate: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (sqrt (- (+ 1 (* (pow x 4) 5/24)) (* 1/2 (* x x)))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 2 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (sqrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * * * * [misc]progress: [ 3 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (sqrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * * * * [misc]progress: [ 4 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2)))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (sqrt (+ 1 (- (* 5/24 (pow x 4)) (* (* x x) 1/2))))) * * * * [misc]progress: [ 5 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (/ (- 1) x)))))) * * * * [misc]progress: [ 6 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 7 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (+ (- (* 5/24 (pow x 4)) (* (* x x) 1/2)) 1) * * * * [misc]progress: [ 8 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt 2) 2) (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (/ 1 x)) (exp (/ (- 1) x)))) * * * * [misc]progress: [ 9 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt 2) 2) (+ (exp (/ -1 x)) (exp (/ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) * * * * [misc]progress: [ 10 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ 2 (+ (pow x 2) (* 1/12 (pow x 4))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (sqrt (/ 2 (+ (+ (* x x) 2) (* (pow x 4) 1/12))))) * * * * [misc]progress: [ 11 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (sqrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * * * * [misc]progress: [ 12 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (sqrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * * * * [misc]progress: [ 13 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 15 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (exp (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (exp (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 16 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (cbrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 17 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * * * * [misc]progress: [ 18 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [enter]simplify: Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 19 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [exit]simplify: Simplified to (- 2) * [enter]simplify: Simplifying (- (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (exp x)) (- (exp x))) * [exit]simplify: Simplified to (+ (/ (- 1) (exp x)) (- (exp x))) * * * * [misc]progress: [ 20 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 22 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp x) (exp (- x))) 2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (+ (exp (- x)) (exp x)) 2) * [exit]simplify: Simplified to (/ (+ (exp (- x)) (exp x)) 2) * * * * [misc]progress: [ 23 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ 2 (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ 2 (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 24 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ 2 (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 25 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 2 1) * [exit]simplify: Simplified to (/ 2 1) * * * * [misc]progress: [ 26 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 2 1) * [exit]simplify: Simplified to (/ 2 1) * * * * [misc]progress: [ 27 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3))) * * * * [misc]progress: [ 28 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ 2 (- (exp (+ x x)) (pow (exp x) (- 2)))) * [exit]simplify: Simplified to (/ 2 (- (exp (+ x x)) (pow (exp x) (- 2)))) * * * * [misc]progress: [ 29 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 31 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (exp (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (exp (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 32 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (cbrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 33 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * * * * [misc]progress: [ 34 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [enter]simplify: Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 35 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [exit]simplify: Simplified to (- 2) * [enter]simplify: Simplifying (- (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (exp x)) (- (exp x))) * [exit]simplify: Simplified to (+ (/ (- 1) (exp x)) (- (exp x))) * * * * [misc]progress: [ 36 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 38 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp x) (exp (- x))) 2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (+ (exp (- x)) (exp x)) 2) * [exit]simplify: Simplified to (/ (+ (exp (- x)) (exp x)) 2) * * * * [misc]progress: [ 39 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ 2 (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ 2 (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 40 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ 2 (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 41 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 2 1) * [exit]simplify: Simplified to (/ 2 1) * * * * [misc]progress: [ 42 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 2 1) * [exit]simplify: Simplified to (/ 2 1) * * * * [misc]progress: [ 43 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3))) * * * * [misc]progress: [ 44 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ 2 (- (exp (+ x x)) (pow (exp x) (- 2)))) * [exit]simplify: Simplified to (/ 2 (- (exp (+ x x)) (pow (exp x) (- 2)))) * * * * [misc]progress: [ 45 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [exit]simplify: Simplified to (+ 1/2 1/2) * * * * [misc]progress: [ 46 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 47 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ 2 (+ (exp (- x)) (exp x))) (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (* (/ 2 (+ (exp (- x)) (exp x))) (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 48 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 49 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 51 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (log (sqrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* 2 (log (sqrt (/ 2 (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (* 2 (log (sqrt (/ 2 (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 53 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 54 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (exp (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (exp (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 55 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * * * * [misc]progress: [ 56 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))) (cbrt (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (cbrt (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 57 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * * * * [misc]progress: [ 58 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ 2 (+ (exp (- x)) (exp x))) (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (* (/ 2 (+ (exp (- x)) (exp x))) (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 59 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [enter]simplify: Simplifying (sqrt (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 60 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * [enter]simplify: Simplifying (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (+ (exp (- x)) (exp x)) * [exit]simplify: Simplified to (+ (exp (- x)) (exp x)) * * * * [misc]progress: [ 61 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 63 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (fabs (cbrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 64 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))) * * [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 (* (sqrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 65 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 66 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt 2)) * * [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 (* (sqrt 2) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 67 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (pow (exp x) 3) (exp (- (- x) (+ x x)))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (pow (exp x) 3) (exp (- (- x) (+ x x)))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 68 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 2 (- (* (exp x) (exp x)) (pow (exp 2) (- x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (sqrt (/ 2 (- (* (exp x) (exp x)) (pow (exp 2) (- x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 69 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))) * * [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 (* (sqrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 70 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 71 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [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 (* (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 72 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 73 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [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 (* (sqrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 74 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 75 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (sqrt (/ 1 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (sqrt (/ 1 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 76 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (+ (- (exp (+ x x)) 1) (pow (exp 2) (- x))))) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (+ (- (exp (+ x x)) 1) (pow (exp 2) (- x))))) * * * * [misc]progress: [ 77 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (exp x) (exp (- x)))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (sqrt (- (exp x) (exp (- x))))) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (sqrt (- (exp x) (exp (- x))))) * * * * [misc]progress: [ 78 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [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 (* (sqrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 79 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 80 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt 2)) * * [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 (* (sqrt 2) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 81 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [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 (* (sqrt 2) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 82 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (exp x)) (exp (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (+ (exp x) (exp (- x)))) * [exit]simplify: Simplified to (exp (+ (exp x) (exp (- x)))) * * * * [misc]progress: [ 84 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (log (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 86 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (exp (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 87 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x)))) * [enter]simplify: Simplifying (cbrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (cbrt (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 88 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) 3) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) 3) * * * * [misc]progress: [ 89 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 90 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (exp x) 3) (pow (exp (- x)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (+ (exp (- (- x) (+ x x))) (pow (exp x) 3)) * [exit]simplify: Simplified to (+ (exp (- (- x) (+ x x))) (pow (exp x) 3)) * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (- (pow (exp 2) (- x)) (- 1 (exp (+ x x)))) * [exit]simplify: Simplified to (- (pow (exp 2) (- x)) (- 1 (exp (+ x x)))) * * * * [misc]progress: [ 91 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* (exp x) (exp x)) (pow (exp x) (- 2))) * [exit]simplify: Simplified to (- (* (exp x) (exp x)) (pow (exp x) (- 2))) * [enter]simplify: Simplifying (- (exp x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- (exp x) (exp (- x))) * [exit]simplify: Simplified to (- (exp x) (exp (- x))) * * * * [misc]progress: [ 93 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (exp (- x)) (exp x)) * [exit]simplify: Simplified to (+ (exp (- x)) (exp x)) * * * * [misc]progress: [ 94 / 94 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (exp x) (exp (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp x) (exp (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp x) (exp (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp x) (exp (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp x) (exp (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp x) (exp (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp x) (exp (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 5/24) 1)) (pow 1 1)))) 24) into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/3 1/12) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into 1/36 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/6 2) 2)) (* (/ (pow 1/36 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ 1 (* 1/24 (pow x 4))) (* 1/6 (pow x 2))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) into (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) into (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) into (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) into (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (exp x) (exp (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp x) (exp (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp x) (exp (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp x) (exp (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp x) (exp (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp x) (exp (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp x) (exp (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 5/24) 1)) (pow 1 1)))) 24) into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/3 1/12) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into 1/36 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/6 2) 2)) (* (/ (pow 1/36 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ 1 (* 1/24 (pow x 4))) (* 1/6 (pow x 2))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) into (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) into (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) into (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) into (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (exp x) (exp (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp x) (exp (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp x) (exp (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp x) (exp (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp x) (exp (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp x) (exp (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp x) (exp (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 5/24) 1)) (pow 1 1)))) 24) into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/3 1/12) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into 1/36 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/6 2) 2)) (* (/ (pow 1/36 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- (+ 1 (* 1/24 (pow x 4))) (* 1/6 (pow x 2))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) into (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) into (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) into (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) into (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 * [misc]backup-simplify: Simplify 5/24 into 5/24 * [misc]backup-simplify: Simplify (+ (* 5/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 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]taylor: Taking 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) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (- (+ 1 (* 1/24 (pow x 4))) (* 1/6 (pow x 2)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (- 1 (* 1/6 (* x x))) (* 1/24 (pow x 4))) (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (* (sqrt (* (cbrt (/ 2 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (* (cbrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (- (+ 1 (* 1/24 (pow x 4))) (* 1/6 (pow x 2)))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (* (sqrt (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (- (* (pow x 4) 1/24) (- (* (* x x) 1/6) 1))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3)) (cbrt (/ 2 (+ (exp x) (exp (- x)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (* (sqrt (* (cbrt (/ 2 (+ (exp (/ 1 x)) (exp (/ (- 1) x))))) (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3)) (cbrt (/ 2 (+ (exp x) (exp (- x)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (* (- (+ 1 (* 1/24 (pow x 4))) (* 1/6 (pow x 2))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (sqrt (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (+ (* (pow x 4) 1/24) (- 1 (* 1/6 (* x x))))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (* (pow (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) 1/3) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (* (sqrt (* (cbrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (* (pow (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) 1/3) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (cbrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))) (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))) (cbrt (- (+ (* 5/24 (pow x 4)) 1) (* (* 1/2 x) x))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (sqrt (* (cbrt (/ 2 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x)))))))) * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (* (cbrt (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))))) (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (log (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (exp (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * [enter]simplify: Simplifying (cbrt (/ 1 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3)))) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3)))) * [enter]simplify: Simplifying (cbrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (+ (- (exp (+ x x)) 1) (pow (exp x) (- 2)))) * [exit]simplify: Simplified to (cbrt (+ (- (exp (+ x x)) 1) (pow (exp x) (- 2)))) * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (- (exp (+ x x)) (pow (exp 2) (- x))))) * [exit]simplify: Simplified to (cbrt (/ 2 (- (exp (+ x x)) (pow (exp 2) (- x))))) * [enter]simplify: Simplifying (cbrt (- (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (exp x) (exp (- x)))) * [exit]simplify: Simplified to (cbrt (- (exp x) (exp (- x)))) * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * [enter]simplify: Simplifying (cbrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (cbrt (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (cbrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (log (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (exp (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * [enter]simplify: Simplifying (cbrt (/ 1 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3)))) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3)))) * [enter]simplify: Simplifying (cbrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (+ (- (exp (+ x x)) 1) (pow (exp x) (- 2)))) * [exit]simplify: Simplified to (cbrt (+ (- (exp (+ x x)) 1) (pow (exp x) (- 2)))) * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (- (exp (+ x x)) (pow (exp 2) (- x))))) * [exit]simplify: Simplified to (cbrt (/ 2 (- (exp (+ x x)) (pow (exp 2) (- x))))) * [enter]simplify: Simplifying (cbrt (- (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (exp x) (exp (- x)))) * [exit]simplify: Simplified to (cbrt (- (exp x) (exp (- x)))) * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * [enter]simplify: Simplifying (cbrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (cbrt (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (cbrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (log (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (exp (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * [enter]simplify: Simplifying (cbrt (/ 1 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3)))) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3)))) * [enter]simplify: Simplifying (cbrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (+ (- (exp (+ x x)) 1) (pow (exp x) (- 2)))) * [exit]simplify: Simplified to (cbrt (+ (- (exp (+ x x)) 1) (pow (exp x) (- 2)))) * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (- (exp (+ x x)) (pow (exp 2) (- x))))) * [exit]simplify: Simplified to (cbrt (/ 2 (- (exp (+ x x)) (pow (exp 2) (- x))))) * [enter]simplify: Simplifying (cbrt (- (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (exp x) (exp (- x)))) * [exit]simplify: Simplified to (cbrt (- (exp x) (exp (- x)))) * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * [enter]simplify: Simplifying (cbrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (cbrt (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (cbrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (cbrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (exp (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (exp (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (cbrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [enter]simplify: Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [exit]simplify: Simplified to (- 2) * [enter]simplify: Simplifying (- (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (exp x)) (- (exp x))) * [exit]simplify: Simplified to (+ (/ (- 1) (exp x)) (- (exp x))) * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp x) (exp (- x))) 2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (+ (exp (- x)) (exp x)) 2) * [exit]simplify: Simplified to (/ (+ (exp (- x)) (exp x)) 2) * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ 2 (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ 2 (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ 2 (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 2 1) * [exit]simplify: Simplified to (/ 2 1) * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 2 1) * [exit]simplify: Simplified to (/ 2 1) * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3))) * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ 2 (- (exp (+ x x)) (pow (exp x) (- 2)))) * [exit]simplify: Simplified to (/ 2 (- (exp (+ x x)) (pow (exp x) (- 2)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# #) * [misc]regimes: Found splitpoints: (#s(sp 0 x +inf.0)) , with alts (#) * [enter]simplify: Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [enter]simplify: Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [enter]simplify: Simplifying (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (* (cbrt (/ 2 (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (cbrt (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x))))