* [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 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] 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: simplifying candidates * * * * [misc]progress: [ 1 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 19 ] 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: [ 3 / 19 ] 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: [ 4 / 19 ] 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: [ 5 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * * * * [misc]progress: [ 6 / 19 ] 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: [ 7 / 19 ] 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: [ 8 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 19 ] 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: [ 10 / 19 ] 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: [ 11 / 19 ] 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: [ 12 / 19 ] 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: [ 13 / 19 ] 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: [ 14 / 19 ] 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: [ 15 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3))) * * * * [misc]progress: [ 16 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ 2 (- (exp (+ x x)) (pow (exp 2) (- x)))) * [exit]simplify: Simplified to (/ 2 (- (exp (+ x x)) (pow (exp 2) (- x)))) * * * * [misc]progress: [ 17 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (+ (- (* 5/24 (pow x 4)) (* (* x x) 1/2)) 1) * * * * [misc]progress: [ 18 / 19 ] 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: [ 19 / 19 ] 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 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (exp (/ 2 (+ (exp x) (exp (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (/ 2 (+ (exp x) (exp (- x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (exp 1) into E * [misc]backup-simplify: Simplify (log E) into 1 * [misc]taylor: Taking taylor expansion of (log (exp (/ 2 (+ (exp x) (exp (- x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 2 (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (exp 1) into E * [misc]backup-simplify: Simplify (log E) 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 (* (exp 1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 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 (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/2 1) 1)))) into (* -1/2 E) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/2 E)) 1)) (pow E 1)))) 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 (* (exp 1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* -1/2 E)) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow E 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 (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow 5/24 1) 1)))) into (* 1/3 E) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow E 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* -1/2 E)) 1)) (pow E 3))) (* -3 (/ (* 1 (pow (* 2 (* -1/2 E)) 2)) (pow E 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow E 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/3 E)) 1)) (pow E 1)))) 24) 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 (log (exp (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (log (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (log (exp (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (log (exp (/ 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 (* (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (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 (* (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (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 (* (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (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 (* (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1)))) 24) 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 (* (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1)))) 120) 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 (* (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) 1)))) 720) 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 (log (exp (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (log (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (log (exp (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (log (exp (/ 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 (* (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (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 (* (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (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 (* (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (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 (* (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1)))) 24) 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 (* (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1)))) 120) 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 (* (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x))))) 1)))) 720) 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 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: simplifying candidates * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (exp (/ 2 (+ (exp x) (exp (- x)))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* 2 (log (cbrt (exp (/ 2 (+ (exp (- x)) (exp x))))))) * [exit]simplify: Simplified to (* 2 (log (cbrt (exp (/ 2 (+ (exp (- x)) (exp x))))))) * [enter]simplify: Simplifying (log (cbrt (exp (/ 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 (log (cbrt (exp (/ 2 (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (log (cbrt (exp (/ 2 (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (/ 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 (log (sqrt (exp (/ 2 (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (log (sqrt (exp (/ 2 (+ (exp (- x)) (exp x)))))) * [enter]simplify: Simplifying (log (sqrt (exp (/ 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 (log (sqrt (exp (/ 2 (+ (exp (- x)) (exp x)))))) * [exit]simplify: Simplified to (log (sqrt (exp (/ 2 (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (exp (/ 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))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (/ 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))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (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 (22 enodes) * * [misc]simplify: iters left: 2 (24 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))))) * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (sqrt (/ 2 (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3))) * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ 2 (- (exp (+ x x)) (pow (exp 2) (- x)))) * [exit]simplify: Simplified to (/ 2 (- (exp (+ x x)) (pow (exp 2) (- x)))) * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (exp (/ 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: [ 14 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (exp (/ 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: [ 15 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (exp (/ 2 (+ (exp x) (exp (- x))))))) (cbrt (log (exp (/ 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 (log (exp (/ 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: [ 16 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (exp (/ 2 (+ (exp x) (exp (- x)))))) (log (exp (/ 2 (+ (exp x) (exp (- x))))))) (log (exp (/ 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 (102 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: [ 17 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (exp (/ 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 (log (exp (/ 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: [ 18 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 40 ] 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: [ 21 / 40 ] 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: [ 22 / 40 ] 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: [ 23 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * * * * [misc]progress: [ 24 / 40 ] 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: [ 25 / 40 ] 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: [ 26 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 40 ] 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: [ 28 / 40 ] 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: [ 29 / 40 ] 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: [ 30 / 40 ] 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: [ 31 / 40 ] 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: [ 32 / 40 ] 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: [ 33 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3))) * [exit]simplify: Simplified to (/ 2 (+ (exp (- (- x) (+ x x))) (pow (exp x) 3))) * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ 2 (- (exp (+ x x)) (pow (exp 2) (- x)))) * [exit]simplify: Simplified to (/ 2 (- (exp (+ x x)) (pow (exp 2) (- x)))) * * * * [misc]progress: [ 35 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (+ (- (* 5/24 (pow x 4)) (* (* x x) 1/2)) 1) * * * * [misc]progress: [ 36 / 40 ] 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: [ 37 / 40 ] 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: [ 38 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (- (+ 1 (* (pow x 4) 5/24)) (* x (* 1/2 x))) * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (/ 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: [ 40 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (/ 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: [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 (/ 2 (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x)))