* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ 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: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) * * * [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 (/ 1 x)))) (exp (/ 1 (/ 1 x))))) into (/ 2 (+ (exp (- x)) (exp 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 (/ 1 (- x)))) (exp (/ 1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp 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 (/ 1 x)))) (exp (/ 1 (/ 1 x)))) into (+ (exp (- x)) (exp 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 (/ 1 (- x)))) (exp (/ 1 (/ 1 (- x))))) into (+ (exp (* -1 x)) (exp x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 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 (expm1 (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (expm1 (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 2 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 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 (log1p (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (log1p (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 3 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 41 ] 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: [ 5 / 41 ] 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: [ 6 / 41 ] 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: [ 7 / 41 ] 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 (85 enodes) * * [misc]simplify: iters left: 1 (124 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: [ 8 / 41 ] 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: [ 9 / 41 ] 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: [ 10 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 41 ] 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: [ 12 / 41 ] 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: [ 13 / 41 ] 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: [ 14 / 41 ] 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: [ 15 / 41 ] 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: [ 16 / 41 ] 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: [ 17 / 41 ] 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 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ 2 (fma (exp (- x)) (pow (exp x) (- 2)) (exp (fma x 2 x)))) * [exit]simplify: Simplified to (/ 2 (fma (exp (- x)) (pow (exp x) (- 2)) (exp (fma x 2 x)))) * * * * [misc]progress: [ 18 / 41 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (108 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: [ 19 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (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 (expm1 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (expm1 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 20 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (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 (log1p (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (log1p (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 21 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 41 ] 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: [ 25 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 41 ] 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: [ 27 / 41 ] 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: [ 28 / 41 ] 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: [ 29 / 41 ] 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 (73 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (pow (/ (fma (exp x) (exp x) 1) (exp x)) 3) * [exit]simplify: Simplified to (pow (/ (fma (exp x) (exp x) 1) (exp x)) 3) * * * * [misc]progress: [ 30 / 41 ] 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: [ 31 / 41 ] 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 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (fma (exp (- x)) (pow (exp 2) (- x)) (exp (fma x 2 x))) * [exit]simplify: Simplified to (fma (exp (- x)) (pow (exp 2) (- x)) (exp (fma x 2 x))) * [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 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))) * [exit]simplify: Simplified to (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))) * * * * [misc]progress: [ 32 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 41 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (- (exp (+ x x)) (pow (exp x) (- 2))) * [exit]simplify: Simplified to (- (exp (+ x 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: [ 34 / 41 ] 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: [ 35 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 41 ] 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 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (- (fma (pow x 4) 5/24 1) (* (* 1/2 x) x)) * * * * [misc]progress: [ 37 / 41 ] simplifiying candidate # * [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: [ 38 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (* -1 x)) (exp x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 39 / 41 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ 2 (fma (pow x 4) 1/12 (fma x x 2))) * * * * [misc]progress: [ 40 / 41 ] simplifiying candidate # * [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: [ 41 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (* -1 x)) (exp x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] 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 (/ 1 x)))) (exp (/ 1 (/ 1 x))))) into (/ 2 (+ (exp (- x)) (exp 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 (/ 1 (- x)))) (exp (/ 1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ 2 (+ (exp x) (exp (- x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 2 (+ (exp x) (exp (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 2 (+ (exp x) (exp (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 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 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (exp (log 2)) into 2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ 2 (+ (exp x) (exp (- x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 2 (+ (exp x) (exp (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 2 (+ (exp x) (exp (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 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 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (exp (log 2)) into 2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 2 -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) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log 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 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 (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 2 1)))) 2) into -1/4 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/4 1) 1)))) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/2) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/4 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 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 (+ 0 5/24) into 5/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/2) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 -1/2) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 5/24) 1)) (pow 2 1)))) 24) into 7/96 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/4 2) 2)) (* (/ (pow 7/96 1) 1)))) into 5/24 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 5/24 0) 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 (expm1 (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1))) into (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1))) into (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) -1) into (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (+ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1))) (+ (* (/ (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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1))) (+ (* (/ (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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1))) (+ (* (/ (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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1))) (+ (* (/ (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 (/ 1 x)))) (exp (/ 1 (/ 1 x))))) into (/ 2 (+ (exp (- x)) (exp x))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1))) into (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 1 (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1))) into (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) -1) into (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (+ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1))) (+ (* (/ (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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1))) (+ (* (/ (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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1))) (+ (* (/ (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 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1))) (+ (* (/ (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 (/ 1 (- x)))) (exp (/ 1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 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 (/ 1 x)))) (exp (/ 1 (/ 1 x)))) into (+ (exp (- x)) (exp 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 (/ 1 (- x)))) (exp (/ 1 (/ 1 (- x))))) into (+ (exp (* -1 x)) (exp x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 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 (expm1 (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (expm1 (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 2 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 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 (log1p (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (log1p (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 3 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 55 ] 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: [ 5 / 55 ] 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: [ 6 / 55 ] 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: [ 7 / 55 ] 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 (85 enodes) * * [misc]simplify: iters left: 1 (124 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: [ 8 / 55 ] 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: [ 9 / 55 ] 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: [ 10 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 55 ] 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: [ 12 / 55 ] 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: [ 13 / 55 ] 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: [ 14 / 55 ] 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: [ 15 / 55 ] 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: [ 16 / 55 ] 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: [ 17 / 55 ] 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 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ 2 (fma (exp (- x)) (pow (exp x) (- 2)) (exp (fma x 2 x)))) * [exit]simplify: Simplified to (/ 2 (fma (exp (- x)) (pow (exp x) (- 2)) (exp (fma x 2 x)))) * * * * [misc]progress: [ 18 / 55 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (108 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: [ 19 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (/ 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 (log1p (/ 2 (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (exp (log1p (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 20 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (log1p (/ 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 (expm1 (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (expm1 (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 21 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (log1p (/ 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 (log1p (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (log1p (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 22 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 25 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (log1p (/ 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 (exp (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (exp (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 26 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) (cbrt (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (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 (expm1 (log1p (/ 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 (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 27 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))) (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (104 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: [ 28 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (/ 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 (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [enter]simplify: Simplifying (sqrt (expm1 (log1p (/ 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 (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 29 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (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 (expm1 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (expm1 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 31 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (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 (log1p (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (log1p (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 32 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 55 ] 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: [ 36 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 55 ] 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: [ 38 / 55 ] 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: [ 39 / 55 ] 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: [ 40 / 55 ] 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 (73 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (pow (/ (fma (exp x) (exp x) 1) (exp x)) 3) * [exit]simplify: Simplified to (pow (/ (fma (exp x) (exp x) 1) (exp x)) 3) * * * * [misc]progress: [ 41 / 55 ] 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: [ 42 / 55 ] 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 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (fma (exp (- x)) (pow (exp 2) (- x)) (exp (fma x 2 x))) * [exit]simplify: Simplified to (fma (exp (- x)) (pow (exp 2) (- x)) (exp (fma x 2 x))) * [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 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))) * [exit]simplify: Simplified to (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))) * * * * [misc]progress: [ 43 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 55 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (- (exp (+ x x)) (pow (exp x) (- 2))) * [exit]simplify: Simplified to (- (exp (+ x 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: [ 45 / 55 ] 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: [ 46 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (- (fma (pow x 4) 5/24 1) (* (* 1/2 x) x)) * * * * [misc]progress: [ 48 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (/ 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 (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 49 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (/ 2 (+ (exp (* -1 x)) (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 50 / 55 ] 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 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (- (fma (pow x 4) 5/24 1) (* (* 1/2 x) x)) * * * * [misc]progress: [ 51 / 55 ] simplifiying candidate # * [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: [ 52 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (* -1 x)) (exp x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 53 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (/ 2 (+ 2 (+ (pow x 2) (* 1/12 (pow x 4))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ 2 (fma 1/12 (pow x 4) (fma x x 2))) * * * * [misc]progress: [ 54 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (/ 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 (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 55 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (/ 2 (+ (exp (* -1 x)) (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 2 (sqrt (+ (exp x) (exp (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (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 (sqrt (+ (exp x) (exp (- x)))) in x * [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 (sqrt 2) into (sqrt 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 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (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 (sqrt (+ (exp x) (exp (- x)))) in x * [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 (sqrt 2) into (sqrt 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 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ 0 (sqrt 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (/ 1 (pow (sqrt 2) 3))) * [misc]backup-simplify: Simplify (- (/ 1 (pow (sqrt 2) 3))) into (- (/ 1 (pow (sqrt 2) 3))) * [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 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* (- (/ 1 (pow (sqrt 2) 3))) (/ 0 (sqrt 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 (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (/ 1 (pow (sqrt 2) 3))) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) into (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) (pow x 4)) (+ (* (- (/ 1 (pow (sqrt 2) 3))) (pow x 2)) (/ 2 (sqrt 2)))) into (- (+ (* 2 (/ 1 (sqrt 2))) (* 3/4 (/ (pow x 4) (pow (sqrt 2) 5)))) (+ (* 1/12 (/ (pow x 4) (pow (sqrt 2) 3))) (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (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 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in 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 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (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 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in 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 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (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 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 (/ 1 x)))) (exp (/ 1 (/ 1 x))))))) into (* 2 (sqrt (/ 1 (+ (exp (- x)) (exp x))))) * [misc]approximate: Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (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 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in 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 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (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 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in 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 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (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 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt (/ 1 (+ (exp (/ -1 (/ 1 (- x)))) (exp (/ 1 (/ 1 (- x)))))))) into (* 2 (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (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 (sqrt (+ (exp x) (exp (- x)))) in x * [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 (sqrt 2) into (sqrt 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 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x * [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 (sqrt 2) into (sqrt 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 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 2 (sqrt 2)) (sqrt 2)) into (/ 2 (pow (sqrt 2) 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (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 (sqrt (+ (exp x) (exp (- x)))) in x * [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 (sqrt 2) into (sqrt 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 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x * [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 (sqrt 2) into (sqrt 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 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 2 (sqrt 2)) (sqrt 2)) into (/ 2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (/ 2 (pow (sqrt 2) 2)) into (/ 2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (pow (sqrt 2) 2)) (/ 0 (sqrt 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (/ 1 (pow (sqrt 2) 3))) * [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 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (pow (sqrt 2) 3))) (sqrt 2)) (+ (* (/ 2 (pow (sqrt 2) 2)) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 2 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow (sqrt 2) 4)))) into (- (* 2 (/ 1 (pow (sqrt 2) 4)))) * [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 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* (- (/ 1 (pow (sqrt 2) 3))) (/ 0 (sqrt 2))))) 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 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (pow (sqrt 2) 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* (- (* 2 (/ 1 (pow (sqrt 2) 4)))) (/ 0 (sqrt 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 (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (/ 1 (pow (sqrt 2) 3))) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) * [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 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) (sqrt 2)) (+ (* (/ 2 (pow (sqrt 2) 2)) (/ (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 2 (/ 1 (pow (sqrt 2) 4)))) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 2 (/ 1 (pow (sqrt 2) 6))) (* 1/6 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow (sqrt 2) 6))) (* 1/6 (/ 1 (pow (sqrt 2) 4)))) into (- (* 2 (/ 1 (pow (sqrt 2) 6))) (* 1/6 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (+ (* (- (* 2 (/ 1 (pow (sqrt 2) 6))) (* 1/6 (/ 1 (pow (sqrt 2) 4)))) (pow x 4)) (+ (* (- (* 2 (/ 1 (pow (sqrt 2) 4)))) (pow x 2)) (/ 2 (pow (sqrt 2) 2)))) into (- (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (* 2 (/ (pow x 4) (pow (sqrt 2) 6)))) (+ (* 1/6 (/ (pow x 4) (pow (sqrt 2) 4))) (* 2 (/ (pow x 2) (pow (sqrt 2) 4))))) * [misc]approximate: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (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 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in 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 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in 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 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (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 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in 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 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in 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 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (sqrt (+ (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 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (sqrt (+ (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 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 (/ 1 x)))) (exp (/ 1 (/ 1 x))))) into (/ 2 (+ (exp (- x)) (exp x))) * [misc]approximate: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (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 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in 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 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in 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 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (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 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in 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 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in 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 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (sqrt (+ (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 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (sqrt (+ (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 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 (/ 1 (- x)))) (exp (/ 1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [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 (/ 1 x)))) (exp (/ 1 (/ 1 x)))) into (+ (exp (- x)) (exp 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 (/ 1 (- x)))) (exp (/ 1 (/ 1 (- x))))) into (+ (exp (* -1 x)) (exp x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1) * [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 (/ 1 x)))) (exp (/ 1 (/ 1 x)))) into (+ (exp (- x)) (exp 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 (/ 1 (- x)))) (exp (/ 1 (/ 1 (- x))))) into (+ (exp (* -1 x)) (exp x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 2 (sqrt (+ (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 (expm1 (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (expm1 (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 2 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 2 (sqrt (+ (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 (log1p (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (log1p (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 3 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 2 (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (log (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 5 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 2 (sqrt (+ (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 (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (exp (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 6 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (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 (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (* (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (cbrt (/ 2 (sqrt (+ (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 (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 7 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (pow 2 3) (+ (exp (- x)) (exp x))) (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ (/ (pow 2 3) (+ (exp (- x)) (exp x))) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 8 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 2 (sqrt (+ (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 (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (sqrt (/ 2 (sqrt (+ (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 (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 9 / 139 ] 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 (- (sqrt (+ (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 (- (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (- (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 10 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 12 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) (exp (- x)))) 2) * * [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 (+ (exp (- x)) (exp x))) 2) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (- x)) (exp x))) 2) * * * * [misc]progress: [ 13 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 2 (* (cbrt (sqrt (+ (exp (- x)) (exp x)))) (cbrt (sqrt (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (/ 2 (* (cbrt (sqrt (+ (exp (- x)) (exp x)))) (cbrt (sqrt (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 14 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (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 (/ 2 (fabs (cbrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ 2 (fabs (cbrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 15 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (sqrt (+ (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 (/ 2 (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ 2 (sqrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 16 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt 1)) * [exit]simplify: Simplified to (/ 2 (sqrt 1)) * * * * [misc]progress: [ 17 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt 1)) * [exit]simplify: Simplified to (/ 2 (sqrt 1)) * * * * [misc]progress: [ 18 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (sqrt (+ (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 (/ 2 (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ 2 (sqrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 19 / 139 ] 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 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (+ (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 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (fma (exp (- x)) (pow (exp 2) (- x)) (exp (fma x 2 x))))) * [exit]simplify: Simplified to (/ 2 (sqrt (fma (exp (- x)) (pow (exp 2) (- x)) (exp (fma x 2 x))))) * * * * [misc]progress: [ 21 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (- (* (exp x) (exp x)) (pow (exp 2) (- x))))) * [exit]simplify: Simplified to (/ 2 (sqrt (- (* (exp x) (exp x)) (pow (exp 2) (- x))))) * * * * [misc]progress: [ 22 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (expm1 (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (expm1 (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 23 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (log1p (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (log1p (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 24 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (log (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (- (log (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (log (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (- (log (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (log (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 26 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 27 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (exp (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (exp (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 28 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (215 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: [ 29 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 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 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 30 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (193 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: [ 31 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 32 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 2 (sqrt (+ (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) (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ (- 2) (sqrt (+ (exp (- x)) (exp x)))) * [enter]simplify: Simplifying (- (sqrt (+ (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 (- (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (- (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 33 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (cbrt (sqrt (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (cbrt (sqrt (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 34 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (fabs (cbrt (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (* (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (fabs (cbrt (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (cbrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (cbrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 35 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 36 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (/ (sqrt 1) (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (/ (sqrt 1) (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (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 (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 37 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (/ (sqrt 1) (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (/ (sqrt 1) (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (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 (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 38 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 39 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) 1)) * [exit]simplify: Simplified to (* (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) 1)) * [enter]simplify: Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (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 (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 40 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (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 (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (* (cbrt (sqrt (+ (exp (- x)) (exp x)))) (cbrt (sqrt (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (* (cbrt (sqrt (+ (exp (- x)) (exp x)))) (cbrt (sqrt (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 41 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (fabs (cbrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (fabs (cbrt (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (cbrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (cbrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 42 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 43 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt 1)) * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (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 (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 44 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt 1)) * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (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 (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 45 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 46 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) 1) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) 1) * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (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 (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 47 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (exp (- x)) (exp x)))) (cbrt (sqrt (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (exp (- x)) (exp x)))) (cbrt (sqrt (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 48 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (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 (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (cbrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (cbrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 49 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 50 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (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) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 51 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (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) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 52 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 53 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (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) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 54 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 2 (* (cbrt (sqrt (+ (exp (- x)) (exp x)))) (cbrt (sqrt (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (/ 2 (* (cbrt (sqrt (+ (exp (- x)) (exp x)))) (cbrt (sqrt (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (exp (- x)) (exp x)))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (exp (- x)) (exp x)))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 55 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (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 (/ 2 (fabs (cbrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ 2 (fabs (cbrt (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (cbrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (cbrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 56 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (sqrt (+ (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 (/ 2 (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ 2 (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 57 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt 1)) * [exit]simplify: Simplified to (/ 2 (sqrt 1)) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 58 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt 1)) * [exit]simplify: Simplified to (/ 2 (sqrt 1)) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 59 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (sqrt (+ (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 (/ 2 (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ 2 (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 60 / 139 ] 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) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 61 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (/ 2 (cbrt (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (sqrt (fma (pow (exp x) (- 2)) (exp (- x)) (exp (fma x 2 x)))))) * [exit]simplify: Simplified to (/ (/ 2 (cbrt (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (sqrt (fma (pow (exp x) (- 2)) (exp (- x)) (exp (fma x 2 x)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) * [exit]simplify: Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 62 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (fma (pow (exp 2) (- x)) (exp (- x)) (exp (fma x 2 x))))) (fabs (cbrt (+ (exp x) (exp (- x)))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (fma (pow (exp 2) (- x)) (exp (- x)) (exp (fma x 2 x))))) (fabs (cbrt (+ (exp x) (exp (- x)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) * [exit]simplify: Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 63 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (fma (pow (exp x) (- 2)) (exp (- x)) (exp (fma x 2 x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (fma (pow (exp x) (- 2)) (exp (- x)) (exp (fma x 2 x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * [exit]simplify: Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 64 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt 1)) (sqrt (fma (exp (- x)) (pow (exp x) (- 2)) (exp (fma x 2 x))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt 1)) (sqrt (fma (exp (- x)) (pow (exp x) (- 2)) (exp (fma x 2 x))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (+ (exp x) (exp (- x))))) * [exit]simplify: Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (+ (exp x) (exp (- x))))) * * * * [misc]progress: [ 65 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt 1)) (sqrt (fma (exp (- x)) (pow (exp x) (- 2)) (exp (fma x 2 x))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt 1)) (sqrt (fma (exp (- x)) (pow (exp x) (- 2)) (exp (fma x 2 x))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (+ (exp x) (exp (- x))))) * [exit]simplify: Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (+ (exp x) (exp (- x))))) * * * * [misc]progress: [ 66 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (fma (pow (exp x) (- 2)) (exp (- x)) (exp (fma x 2 x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (fma (pow (exp x) (- 2)) (exp (- x)) (exp (fma x 2 x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * [exit]simplify: Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 67 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (fma (pow (exp x) (- 2)) (exp (- x)) (exp (fma x 2 x))))) * [exit]simplify: Simplified to (/ 2 (sqrt (fma (pow (exp x) (- 2)) (exp (- x)) (exp (fma x 2 x))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (+ (exp x) (exp (- x))))) * [exit]simplify: Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (+ (exp x) (exp (- x))))) * * * * [misc]progress: [ 68 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (- (exp (+ x x)) (pow (exp 2) (- x))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (- (exp (+ x x)) (pow (exp 2) (- x))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (cbrt (sqrt (+ (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 (/ (sqrt (- (exp x) (exp (- x)))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (sqrt (- (exp x) (exp (- x)))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 69 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (- (exp (+ x x)) (pow (exp 2) (- x))))) (fabs (cbrt (+ (exp x) (exp (- x)))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (- (exp (+ x x)) (pow (exp 2) (- x))))) (fabs (cbrt (+ (exp x) (exp (- x)))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (cbrt (+ (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 (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (cbrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (cbrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 70 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (pow (exp x) (- 2))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (pow (exp x) (- 2))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (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 (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 71 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt 1)) (sqrt (- (exp (+ x x)) (pow (exp 2) (- x))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt 1)) (sqrt (- (exp (+ x x)) (pow (exp 2) (- x))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (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 (- (exp x) (exp (- x)))) (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 72 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt 1)) (sqrt (- (exp (+ x x)) (pow (exp 2) (- x))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt 1)) (sqrt (- (exp (+ x x)) (pow (exp 2) (- x))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (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 (- (exp x) (exp (- x)))) (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 73 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (pow (exp x) (- 2))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (pow (exp x) (- 2))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (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 (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 74 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (- (* (exp x) (exp x)) (pow (exp 2) (- x))))) * [exit]simplify: Simplified to (/ 2 (sqrt (- (* (exp x) (exp x)) (pow (exp 2) (- x))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (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 (- (exp x) (exp (- x)))) (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 75 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 77 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) (exp (- x)))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (+ (exp (- x)) (exp x)) 2) * [exit]simplify: Simplified to (/ (+ (exp (- x)) (exp x)) 2) * * * * [misc]progress: [ 78 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 79 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (fabs (cbrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (fabs (cbrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 80 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 81 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt 1)) (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt 1)) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 82 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt 1)) (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt 1)) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 83 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 84 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ 2 (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 85 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) (exp (- x)))) (cbrt (/ 2 (sqrt (+ (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 (/ (sqrt (+ (exp (- x)) (exp x))) (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (- x)) (exp x))) (cbrt (/ 2 (sqrt (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 86 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (/ 2 (sqrt (+ (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 (/ (sqrt (+ (exp (- x)) (exp x))) (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (- x)) (exp x))) (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 87 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) (exp (- x)))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (+ (exp (- x)) (exp x)) 2) * [exit]simplify: Simplified to (/ (+ (exp (- x)) (exp x)) 2) * * * * [misc]progress: [ 88 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) (exp (- x)))) (/ 1 (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (+ (exp (- x)) (exp x)) 1) * [exit]simplify: Simplified to (/ (+ (exp (- x)) (exp x)) 1) * * * * [misc]progress: [ 89 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (- x)) (exp x))) (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (- x)) (exp x))) (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))))) * * * * [misc]progress: [ 90 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (- (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 (+ (exp (- x)) (exp x))) (sqrt (- (exp x) (exp (- x))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (- x)) (exp x))) (sqrt (- (exp x) (exp (- x))))) * * * * [misc]progress: [ 91 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ 2 (* (sqrt (+ (exp (- x)) (exp x))) (sqrt (fma (exp (- x)) (pow (exp 2) (- x)) (exp (fma x 2 x)))))) * [exit]simplify: Simplified to (/ 2 (* (sqrt (+ (exp (- x)) (exp x))) (sqrt (fma (exp (- x)) (pow (exp 2) (- x)) (exp (fma x 2 x)))))) * * * * [misc]progress: [ 92 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (- (exp (+ x x)) (pow (exp 2) (- x))))) (sqrt (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (- (exp (+ x x)) (pow (exp 2) (- x))))) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 93 / 139 ] simplifiying candidate # * [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: [ 94 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (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 (expm1 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (expm1 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 95 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (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 (log1p (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (log1p (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 96 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 139 ] 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: [ 100 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 139 ] 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: [ 102 / 139 ] 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: [ 103 / 139 ] 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: [ 104 / 139 ] 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 (73 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (pow (/ (fma (exp x) (exp x) 1) (exp x)) 3) * [exit]simplify: Simplified to (pow (/ (fma (exp x) (exp x) 1) (exp x)) 3) * * * * [misc]progress: [ 105 / 139 ] 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: [ 106 / 139 ] 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 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (fma (exp (- x)) (pow (exp 2) (- x)) (exp (fma x 2 x))) * [exit]simplify: Simplified to (fma (exp (- x)) (pow (exp 2) (- x)) (exp (fma x 2 x))) * [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 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))) * [exit]simplify: Simplified to (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))) * * * * [misc]progress: [ 107 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 139 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (- (exp (+ x x)) (pow (exp x) (- 2))) * [exit]simplify: Simplified to (- (exp (+ x 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: [ 109 / 139 ] 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: [ 110 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (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 (expm1 (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (expm1 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 112 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (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 (log1p (+ (exp (- x)) (exp x))) * [exit]simplify: Simplified to (log1p (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 113 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 116 / 139 ] 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: [ 117 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 139 ] 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: [ 119 / 139 ] 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: [ 120 / 139 ] 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: [ 121 / 139 ] 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 (73 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (pow (/ (fma (exp x) (exp x) 1) (exp x)) 3) * [exit]simplify: Simplified to (pow (/ (fma (exp x) (exp x) 1) (exp x)) 3) * * * * [misc]progress: [ 122 / 139 ] 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: [ 123 / 139 ] 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 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (fma (exp (- x)) (pow (exp 2) (- x)) (exp (fma x 2 x))) * [exit]simplify: Simplified to (fma (exp (- x)) (pow (exp 2) (- x)) (exp (fma x 2 x))) * [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 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))) * [exit]simplify: Simplified to (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))) * * * * [misc]progress: [ 124 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 125 / 139 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (- (exp (+ x x)) (pow (exp x) (- 2))) * [exit]simplify: Simplified to (- (exp (+ x 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: [ 126 / 139 ] 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: [ 127 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 128 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 2 (/ 1 (sqrt 2))) (* 3/4 (/ (pow x 4) (pow (sqrt 2) 5)))) (+ (* 1/12 (/ (pow x 4) (pow (sqrt 2) 3))) (/ (pow x 2) (pow (sqrt 2) 3)))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (/ (- (fma 3/4 (/ (pow x 4) (pow (sqrt 2) 5)) (/ 2 (sqrt 2))) (fma (/ (pow x 4) (* 2 (sqrt 2))) 1/12 (* (/ x 2) (/ x (sqrt 2))))) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 129 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (sqrt (/ 1 (+ (exp (- x)) (exp x))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (+ (exp (- x)) (exp x)))) (/ (sqrt (+ (exp (- x)) (exp x))) 2)) * * * * [misc]progress: [ 130 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (+ (exp x) (exp (- x))))) (/ (sqrt (+ (exp x) (exp (- x)))) 2)) * * * * [misc]progress: [ 131 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (* 2 (/ (pow x 4) (pow (sqrt 2) 6)))) (+ (* 1/6 (/ (pow x 4) (pow (sqrt 2) 4))) (* 2 (/ (pow x 2) (pow (sqrt 2) 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (- (fma (pow x 4) (/ 2 (pow (sqrt 2) 6)) 1) (fma (/ (* x x) (pow (sqrt 2) 4)) 2 (/ (* 1/6 (pow x 4)) (pow (sqrt 2) 4)))) * * * * [misc]progress: [ 132 / 139 ] simplifiying candidate # * [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: [ 133 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (* -1 x)) (exp x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 134 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ 2 (+ (pow x 2) (* 1/12 (pow x 4)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (fma (pow x 4) 1/12 (fma x x 2)))) (sqrt (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 135 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (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) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 136 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp (* -1 x)) (exp x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 137 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ 2 (+ (pow x 2) (* 1/12 (pow x 4)))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 2 (sqrt (fma (pow x 4) 1/12 (fma x x 2)))) (sqrt (+ (exp x) (exp (- x))))) * * * * [misc]progress: [ 138 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (+ (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) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 139 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp (* -1 x)) (exp x)))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * [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 (/ 2 (+ (exp x) (exp (- x)))) +inf.0)) , with alts (#) * [enter]simplify: Simplifying (log1p (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log1p (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (log1p (/ 2 (+ (exp (- x)) (exp x))))