* [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 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 (/ 1 x))))) into (sqrt (+ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 (/ 1 (- x)))))) into (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (+ 1 (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 (+ 1 (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 (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]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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ (* 1/2 (pow x 2)) (+ 2 x)) * [misc]approximate: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 (+ 1 (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 (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]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (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 (+ 1 (exp (/ 1 (/ 1 x)))) into (+ 1 (exp x)) * [misc]approximate: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 (+ 1 (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 (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]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (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 (+ 1 (exp (/ -1 (/ 1 (- x))))) into (+ 1 (exp x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 4 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 5 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 6 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 7 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ 1 (exp x)) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 8 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 9 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (+ 1 (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 10 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * * * * [misc]progress: [ 11 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * * * * [misc]progress: [ 12 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 13 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (exp x))) * [exit]simplify: Simplified to (log (+ 1 (exp x))) * * * * [misc]progress: [ 17 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* E (exp (exp x))) * [exit]simplify: Simplified to (* E (exp (exp x))) * * * * [misc]progress: [ 18 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) * [enter]simplify: Simplifying (cbrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (exp x))) * [exit]simplify: Simplified to (cbrt (+ 1 (exp x))) * * * * [misc]progress: [ 19 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * * * * [misc]progress: [ 20 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 21 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow 1 3) (pow (exp x) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (+ 1 (pow (exp x) 3)) * [exit]simplify: Simplified to (+ 1 (pow (exp x) 3)) * [enter]simplify: Simplifying (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (exp (+ x x)) (- 1 (exp x))) * [exit]simplify: Simplified to (+ (exp (+ x x)) (- 1 (exp x))) * * * * [misc]progress: [ 22 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (exp x) (exp x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (- 1 (exp (+ x x))) * [exit]simplify: Simplified to (- 1 (exp (+ x x))) * [enter]simplify: Simplifying (- 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (- 1 (exp x)) * [exit]simplify: Simplified to (- 1 (exp x)) * * * * [misc]progress: [ 24 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))) * * * * [misc]progress: [ 26 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 27 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 28 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* 1/2 (pow x 2)) (+ 2 x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* (* x 1/2) x) (+ x 2)) 1)) * * * * [misc]progress: [ 29 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ 1 (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 30 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ 1 (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt 2)) (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3))))) (* (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) (sqrt (sqrt 2)))) into (* 1/2 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) 2) (+)) (* 2 (sqrt (sqrt 2)))) into (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) 2) (+)) (* 2 (sqrt (sqrt 2)))) into (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt 2)) (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2)))))) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3))))) (* (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2))))) (sqrt (sqrt 2))))) into (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) into (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (/ 1 x))))) into (pow (+ 1 (exp (/ 1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (/ 1 x))))) into (pow (+ 1 (exp (/ 1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (/ 1 x))))) into (pow (+ 1 (exp (/ 1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (/ 1 x))))) into (pow (+ 1 (exp (/ 1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ 1 (exp (/ 1 x))) 1/4) (pow (+ 1 (exp (/ 1 x))) 1/4)) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (/ 1 x))) 1/4) 0) (* 0 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (/ 1 x))) 1/4) 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ 1 x))) 1/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (/ 1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ 1 x))) 1/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (/ 1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ 1 x))) 1/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (/ 1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ 1 x))) 1/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (/ 1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ 1 x))) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 (/ 1 x))))) into (sqrt (+ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (/ -1 x))))) into (pow (+ 1 (exp (/ -1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ -1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (/ -1 x))))) into (pow (+ 1 (exp (/ -1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ -1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (/ -1 x))))) into (pow (+ 1 (exp (/ -1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ -1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (/ -1 x))))) into (pow (+ 1 (exp (/ -1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ 1 (exp (/ -1 x))) 1/4) (pow (+ 1 (exp (/ -1 x))) 1/4)) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (/ -1 x))) 1/4) 0) (* 0 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (/ -1 x))) 1/4) 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ -1 x))) 1/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (/ -1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ -1 x))) 1/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (/ -1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ -1 x))) 1/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (/ -1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ -1 x))) 1/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (/ -1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ -1 x))) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 (/ 1 (- x)))))) into (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 (/ 1 x))))) into (sqrt (+ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 (/ 1 (- x)))))) into (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 (/ 1 x))))) into (sqrt (+ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 (/ 1 (- x)))))) into (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) into (* 1/4 (sqrt (/ 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 (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) 2) (+)) (* 2 (sqrt (sqrt 2)))) into (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2))))) * [misc]backup-simplify: Simplify (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2))))) into (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2))))) (pow x 2)) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) x) (sqrt (sqrt 2)))) into (- (+ (sqrt (sqrt 2)) (+ (* 1/4 (* (sqrt (/ 1 (pow (sqrt 2) 3))) x)) (* 1/8 (* (sqrt (/ 1 (pow (sqrt 2) 3))) (pow x 2))))) (* 3/32 (* (sqrt (/ 1 (pow (sqrt 2) 7))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (/ 1 x))))) into (pow (+ 1 (exp (/ 1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (/ 1 x))))) into (pow (+ 1 (exp (/ 1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (pow (+ 1 (exp (/ 1 x))) 1/4) into (pow (+ 1 (exp (/ 1 x))) 1/4) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ 1 (exp (/ 1 (/ 1 x)))) 1/4) into (pow (+ 1 (exp x)) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (/ -1 x))))) into (pow (+ 1 (exp (/ -1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ -1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (/ -1 x))))) into (pow (+ 1 (exp (/ -1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (pow (+ 1 (exp (/ -1 x))) 1/4) into (pow (+ 1 (exp (/ -1 x))) 1/4) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ 1 (exp (/ -1 (/ 1 (- x))))) 1/4) into (pow (+ 1 (exp x)) 1/4) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [exit]simplify: Simplified to (+ 1/2 1/2) * * * * [misc]progress: [ 2 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 3 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) 1) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) 1) * * * * [misc]progress: [ 4 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 5 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 7 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (log (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (log (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * [exit]simplify: Simplified to (+ (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (log (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * * * * [misc]progress: [ 9 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 10 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 11 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (/ (+ 1 (exp x)) 1)) * [exit]simplify: Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 12 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) (cbrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * [enter]simplify: Simplifying (cbrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 13 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 14 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) 1) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) 1) * * * * [misc]progress: [ 15 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [enter]simplify: Simplifying (sqrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 16 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [enter]simplify: Simplifying (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * * * * [misc]progress: [ 18 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * * * * [misc]progress: [ 20 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (fabs (cbrt (sqrt (/ (+ 1 (exp x)) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (fabs (cbrt (sqrt (/ (+ 1 (exp x)) 1))))) * * * * [misc]progress: [ 21 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (sqrt (fabs (cbrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (sqrt (fabs (cbrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 22 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 23 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt 1)) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt 1)) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 24 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 25 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 26 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 27 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 28 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 29 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 30 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1))))) * * * * [misc]progress: [ 31 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1))))) * * * * [misc]progress: [ 32 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 33 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 34 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ 1 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt 1))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt 1))) * * * * [misc]progress: [ 35 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 36 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 37 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 38 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 39 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 40 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp x))))) * * * * [misc]progress: [ 41 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 45 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 46 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 47 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 48 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ 1 (exp x)) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 49 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 50 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (+ 1 (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 51 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * * * * [misc]progress: [ 52 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * * * * [misc]progress: [ 53 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 54 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 59 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 60 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 61 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 62 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ 1 (exp x)) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 63 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 64 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (+ 1 (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 65 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * * * * [misc]progress: [ 66 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * * * * [misc]progress: [ 67 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 68 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 73 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (exp (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 74 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 75 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 76 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 77 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (/ (+ 1 (exp x)) 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 78 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 79 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 80 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (exp x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (exp x)))) * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * * * * [misc]progress: [ 81 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 82 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 83 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (exp x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (exp x)))) * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * * * * [misc]progress: [ 84 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 85 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))) * * * * [misc]progress: [ 89 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 90 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 91 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (* (sqrt (- (+ (/ (* 1/2 x) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- (/ 1/8 2) 1/4)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 92 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 93 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 94 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (* (sqrt (- (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- (/ 1/8 2) 1/4)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 95 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp x))))) * * * * [misc]progress: [ 96 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp x))))) * * * * [misc]progress: [ 97 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (- (+ (sqrt (sqrt 2)) (+ (* 1/4 (* (sqrt (/ 1 (pow (sqrt 2) 3))) x)) (* 1/8 (* (sqrt (/ 1 (pow (sqrt 2) 3))) (pow x 2))))) (* 3/32 (* (sqrt (/ 1 (pow (sqrt 2) 7))) (pow x 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (- (+ (* (sqrt (/ (/ 1 2) (sqrt 2))) (* x (+ 1/4 (* 1/8 x)))) (sqrt (sqrt 2))) (* (* (* x 3/32) x) (sqrt (/ 1 (pow (sqrt 2) 7)))))) * * * * [misc]progress: [ 98 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (pow (+ 1 (exp x)) 1/4)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (pow (+ 1 (exp x)) 1/4) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 99 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (pow (+ 1 (exp x)) 1/4)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (pow (+ 1 (exp x)) 1/4) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) in x * [misc]taylor: Rewrote expression to (pow (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* 2 (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (log (* 2 (sqrt 2))) into (log (* 2 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (sqrt 2)))) into (* 1/3 (log (* 2 (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (sqrt 2))))) into (pow (* 2 (sqrt 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) in x * [misc]taylor: Rewrote expression to (pow (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* 2 (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (log (* 2 (sqrt 2))) into (log (* 2 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (sqrt 2)))) into (* 1/3 (log (* 2 (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (sqrt 2))))) into (pow (* 2 (sqrt 2)) 1/3) * [misc]backup-simplify: Simplify (pow (* 2 (sqrt 2)) 1/3) into (pow (* 2 (sqrt 2)) 1/3) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 2 (/ 1/2 (sqrt 2))) (* 1 (sqrt 2))) into (+ (/ 1 (sqrt 2)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (/ 1 (sqrt 2)) (sqrt 2))) 1)) (pow (* 2 (sqrt 2)) 1)))) 1) into (+ (* 1/2 (/ 1 (pow (sqrt 2) 2))) 1/2) * [misc]backup-simplify: Simplify (+ (* 1/3 (+ (* 1/2 (/ 1 (pow (sqrt 2) 2))) 1/2)) (* 0 (log (* 2 (sqrt 2))))) into (+ (* 1/6 (/ 1 (pow (sqrt 2) 2))) 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 2 (sqrt 2))))) (+ (* (/ (pow (+ (* 1/6 (/ 1 (pow (sqrt 2) 2))) 1/6) 1) 1)))) into (* (pow (* 2 (sqrt 2)) 1/3) (+ (* 1/6 (/ 1 (pow (sqrt 2) 2))) 1/6)) * [misc]backup-simplify: Simplify (* (pow (* 2 (sqrt 2)) 1/3) (+ (* 1/6 (/ 1 (pow (sqrt 2) 2))) 1/6)) into (* (pow (* 2 (sqrt 2)) 1/3) (+ (* 1/6 (/ 1 (pow (sqrt 2) 2))) 1/6)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))) (+ (* 1 (/ 1/2 (sqrt 2))) (* 1/2 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/2 (sqrt 2))) (* 1/4 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (/ 1 (sqrt 2)) (sqrt 2))) 2)) (pow (* 2 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (/ 1 (sqrt 2)) (* 1/2 (sqrt 2))) (* 1/4 (/ 1 (pow (sqrt 2) 3))))) 1)) (pow (* 2 (sqrt 2)) 1)))) 2) into (* 1/2 (- (+ (* 1/2 (/ 1 (pow (sqrt 2) 2))) 1/4) (* 1/2 (/ 1 (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 1/2 (/ 1 (pow (sqrt 2) 2))) 1/4) (* 1/2 (/ 1 (pow (sqrt 2) 4)))))) (+ (* 0 (+ (* 1/2 (/ 1 (pow (sqrt 2) 2))) 1/2)) (* 0 (log (* 2 (sqrt 2)))))) into (- (+ (* 1/12 (/ 1 (pow (sqrt 2) 2))) 1/24) (* 1/12 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 2 (sqrt 2))))) (+ (* (/ (pow (+ (* 1/6 (/ 1 (pow (sqrt 2) 2))) 1/6) 2) 2)) (* (/ (pow (- (+ (* 1/12 (/ 1 (pow (sqrt 2) 2))) 1/24) (* 1/12 (/ 1 (pow (sqrt 2) 4)))) 1) 1)))) into (* (- (+ (* 1/9 (/ 1 (pow (sqrt 2) 2))) 1/18) (* 5/72 (/ 1 (pow (sqrt 2) 4)))) (pow (* 2 (sqrt 2)) 1/3)) * [misc]backup-simplify: Simplify (* (- (+ (* 1/9 (/ 1 (pow (sqrt 2) 2))) 1/18) (* 5/72 (/ 1 (pow (sqrt 2) 4)))) (pow (* 2 (sqrt 2)) 1/3)) into (* (- (+ (* 1/9 (/ 1 (pow (sqrt 2) 2))) 1/18) (* 5/72 (/ 1 (pow (sqrt 2) 4)))) (pow (* 2 (sqrt 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* (- (+ (* 1/9 (/ 1 (pow (sqrt 2) 2))) 1/18) (* 5/72 (/ 1 (pow (sqrt 2) 4)))) (pow (* 2 (sqrt 2)) 1/3)) (pow x 2)) (+ (* (* (pow (* 2 (sqrt 2)) 1/3) (+ (* 1/6 (/ 1 (pow (sqrt 2) 2))) 1/6)) x) (pow (* 2 (sqrt 2)) 1/3))) into (- (+ (pow (* 2 (sqrt 2)) 1/3) (+ (* 1/9 (* (pow (/ 2 (pow (sqrt 2) 5)) 1/3) (pow x 2))) (+ (* 1/6 (* (pow (* 2 (sqrt 2)) 1/3) x)) (+ (* 1/6 (* (pow (/ 2 (pow (sqrt 2) 5)) 1/3) x)) (* 1/18 (* (pow (* 2 (sqrt 2)) 1/3) (pow x 2))))))) (* 5/72 (* (pow (/ 2 (pow (sqrt 2) 11)) 1/3) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))) in x * [misc]taylor: Rewrote expression to (pow (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (+ 1 (exp (/ 1 x))) (sqrt (+ 1 (exp (/ 1 x))))) into (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) * [misc]backup-simplify: Simplify (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))) into (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3)))) into (* 1/3 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))))) into (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))) in x * [misc]taylor: Rewrote expression to (pow (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (+ 1 (exp (/ 1 x))) (sqrt (+ 1 (exp (/ 1 x))))) into (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) * [misc]backup-simplify: Simplify (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))) into (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3)))) into (* 1/3 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))))) into (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 1/3) * [misc]backup-simplify: Simplify (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 1/3) into (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ 1 x))) 0) (* 0 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))))) (+ (* (/ (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ 1 x))) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))))) (+ (* (/ (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))))) (+ (* (/ (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))))) (+ (* (/ (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))))) (+ (* (/ (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ 1 x))) 3))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (sqrt (pow (+ 1 (exp (/ 1 (/ 1 x)))) 3)) 1/3) into (pow (sqrt (pow (+ 1 (exp x)) 3)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)))) in x * [misc]taylor: Rewrote expression to (pow (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (+ 1 (exp (/ -1 x))) (sqrt (+ 1 (exp (/ -1 x))))) into (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) * [misc]backup-simplify: Simplify (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))) into (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3)))) into (* 1/3 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))))) into (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)))) in x * [misc]taylor: Rewrote expression to (pow (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (+ 1 (exp (/ -1 x))) (sqrt (+ 1 (exp (/ -1 x))))) into (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) * [misc]backup-simplify: Simplify (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))) into (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3)))) into (* 1/3 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))))) into (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 1/3) * [misc]backup-simplify: Simplify (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 1/3) into (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ -1 x))) 0) (* 0 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))))) (+ (* (/ (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ -1 x))) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))))) (+ (* (/ (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))))) (+ (* (/ (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))))) (+ (* (/ (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))))) (+ (* (/ (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (/ -1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (pow (+ 1 (exp (/ -1 x))) 3))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (sqrt (pow (+ 1 (exp (/ -1 (/ 1 (- x))))) 3)) 1/3) into (pow (sqrt (pow (+ 1 (exp x)) 3)) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [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 (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 2 (/ 1/2 (sqrt 2))) (* 1 (sqrt 2))) into (+ (/ 1 (sqrt 2)) (sqrt 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqrt 2)) (sqrt 2)) into (+ (/ 1 (sqrt 2)) (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))) (+ (* 1 (/ 1/2 (sqrt 2))) (* 1/2 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/2 (sqrt 2))) (* 1/4 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (+ (/ 1 (sqrt 2)) (* 1/2 (sqrt 2))) (* 1/4 (/ 1 (pow (sqrt 2) 3)))) into (- (+ (/ 1 (sqrt 2)) (* 1/2 (sqrt 2))) (* 1/4 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (+ (/ 1 (sqrt 2)) (* 1/2 (sqrt 2))) (* 1/4 (/ 1 (pow (sqrt 2) 3)))) (pow x 2)) (+ (* (+ (/ 1 (sqrt 2)) (sqrt 2)) x) (* 2 (sqrt 2)))) into (- (+ (/ x (sqrt 2)) (+ (* 2 (sqrt 2)) (+ (* (sqrt 2) x) (+ (* 1/2 (* (sqrt 2) (pow x 2))) (/ (pow x 2) (sqrt 2)))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ (+ 1 (exp (/ 1 x))) 1) (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (+ 1 (exp (/ 1 x))) (sqrt (+ 1 (exp (/ 1 x))))) into (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) * [misc]backup-simplify: Simplify (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) into (sqrt (pow (+ 1 (exp (/ 1 x))) 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ 1 x))) 0) (* 0 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ 1 x))) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (pow (+ 1 (exp (/ 1 (/ 1 x)))) 3)) into (sqrt (pow (+ 1 (exp x)) 3)) * [misc]approximate: Taking taylor expansion of (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ (+ 1 (exp (/ 1 (- x)))) 1) (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (+ 1 (exp (/ -1 x))) (sqrt (+ 1 (exp (/ -1 x))))) into (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) * [misc]backup-simplify: Simplify (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) into (sqrt (pow (+ 1 (exp (/ -1 x))) 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ -1 x))) 0) (* 0 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ -1 x))) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (/ -1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (pow (+ 1 (exp (/ -1 (/ 1 (- x))))) 3)) into (sqrt (pow (+ 1 (exp x)) 3)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 (/ 1 x))))) into (sqrt (+ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (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 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 (/ 1 (- x)))))) into (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (+ 1 (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 (+ 1 (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 (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]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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ (* 1/2 (pow x 2)) (+ 2 x)) * [misc]approximate: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 (+ 1 (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 (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]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (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 (+ 1 (exp (/ 1 (/ 1 x)))) into (+ 1 (exp x)) * [misc]approximate: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (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 (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 (+ 1 (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 (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]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (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 (+ 1 (exp (/ -1 (/ 1 (- x))))) into (+ 1 (exp x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (log (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * [exit]simplify: Simplified to (log (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * * * * [misc]progress: [ 4 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (exp (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * [exit]simplify: Simplified to (exp (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * * * * [misc]progress: [ 5 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ 1 (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ 1 (exp x)) 1)) * [exit]simplify: Simplified to (cbrt (/ (+ 1 (exp x)) 1)) * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 6 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ 1 (exp x)) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ 1 (exp x))) (+ 1 (exp x)))) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ 1 (exp x))) (+ 1 (exp x)))) * [enter]simplify: Simplifying (cbrt (* 1 (sqrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * * * * [misc]progress: [ 7 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (+ 1 (exp x))))) * [exit]simplify: Simplified to (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (+ 1 (exp x))))) * [enter]simplify: Simplifying (cbrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * * * * [misc]progress: [ 8 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ 1 (exp x)) (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (* (+ 1 (exp x)) (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (cbrt (* (+ 1 (exp x)) (sqrt (/ (+ 1 (exp x)) 1)))) * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * * * * [misc]progress: [ 9 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) (cbrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) (cbrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) (cbrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))))) * [enter]simplify: Simplifying (cbrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * [exit]simplify: Simplified to (cbrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * * * * [misc]progress: [ 10 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (/ (+ 1 (exp x)) 1)) * [exit]simplify: Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 11 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * [exit]simplify: Simplified to (sqrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * [enter]simplify: Simplifying (sqrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * [exit]simplify: Simplified to (sqrt (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * * * * [misc]progress: [ 13 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1/2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1/2 1) * [exit]simplify: Simplified to (+ 1/2 1) * * * * [misc]progress: [ 15 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 16 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (+ 1 (exp x)) 1)) (log (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (+ (log (/ (+ 1 (exp x)) 1)) (log (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (+ (log (/ (+ 1 (exp x)) 1)) (log (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 19 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (log (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (log (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 20 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (pow (exp (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (pow (exp (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 21 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (+ 1 (exp x)) 1) (/ (+ 1 (exp x)) 1)) (/ (+ 1 (exp x)) 1)) (* (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (pow (/ (+ 1 (exp x)) 1) (+ 1 3))) * [exit]simplify: Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (pow (/ (+ 1 (exp x)) 1) (+ 1 3))) * * * * [misc]progress: [ 22 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * [exit]simplify: Simplified to (* (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))))) * [enter]simplify: Simplifying (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 23 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (pow (/ (+ 1 (exp x)) 1) (+ 3 1))) * [exit]simplify: Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (pow (/ (+ 1 (exp x)) 1) (+ 3 1))) * * * * [misc]progress: [ 24 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (sqrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * [enter]simplify: Simplifying (sqrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (sqrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 25 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 (exp x)) (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (sqrt (+ 1 (exp x)))) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (sqrt (+ 1 (exp x)))) * [enter]simplify: Simplifying (* 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * * * * [misc]progress: [ 26 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ 1 (exp x)) 1) (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) (/ (+ 1 (exp x)) 1)) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 28 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ 1 (exp x)) 1) (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (/ (+ 1 (exp x)) 1))) (/ (+ 1 (exp x)) 1)) * [exit]simplify: Simplified to (* (fabs (cbrt (/ (+ 1 (exp x)) 1))) (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 29 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ 1 (exp x)) 1) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 30 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ 1 (exp x)) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) 1) (+ 1 (exp x))) * [exit]simplify: Simplified to (* (/ (sqrt 1) 1) (+ 1 (exp x))) * * * * [misc]progress: [ 31 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ 1 (exp x)) 1) (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (+ 1 (exp x)))) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (+ 1 (exp x)))) * * * * [misc]progress: [ 32 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ 1 (exp x)) 1) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 33 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ 1 (exp x)) 1) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (+ (exp x) 1) * [exit]simplify: Simplified to (+ (exp x) 1) * * * * [misc]progress: [ 34 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 35 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) 1) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) 1) * * * * [misc]progress: [ 36 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 37 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 1) (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 38 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ 1 (exp x)) 1) (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (+ 1 (exp x)))) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (+ 1 (exp x)))) * * * * [misc]progress: [ 39 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 (exp x)) (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (+ 1 (exp x))) * [exit]simplify: Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (+ 1 (exp x))) * * * * [misc]progress: [ 40 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 44 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 45 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 46 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 47 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ 1 (exp x)) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 48 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 49 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (+ 1 (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 50 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * * * * [misc]progress: [ 51 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * * * * [misc]progress: [ 52 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 53 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (exp x))) * [exit]simplify: Simplified to (log (+ 1 (exp x))) * * * * [misc]progress: [ 57 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* E (exp (exp x))) * [exit]simplify: Simplified to (* E (exp (exp x))) * * * * [misc]progress: [ 58 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) * [enter]simplify: Simplifying (cbrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (exp x))) * [exit]simplify: Simplified to (cbrt (+ 1 (exp x))) * * * * [misc]progress: [ 59 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * * * * [misc]progress: [ 60 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 61 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow 1 3) (pow (exp x) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (+ 1 (pow (exp x) 3)) * [exit]simplify: Simplified to (+ 1 (pow (exp x) 3)) * [enter]simplify: Simplifying (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (exp (+ x x)) (- 1 (exp x))) * [exit]simplify: Simplified to (+ (exp (+ x x)) (- 1 (exp x))) * * * * [misc]progress: [ 62 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (exp x) (exp x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (- 1 (exp (+ x x))) * [exit]simplify: Simplified to (- 1 (exp (+ x x))) * [enter]simplify: Simplifying (- 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (- 1 (exp x)) * [exit]simplify: Simplified to (- 1 (exp x)) * * * * [misc]progress: [ 64 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (* 2 (sqrt 2)) 1/3) (+ (* 1/9 (* (pow (/ 2 (pow (sqrt 2) 5)) 1/3) (pow x 2))) (+ (* 1/6 (* (pow (* 2 (sqrt 2)) 1/3) x)) (+ (* 1/6 (* (pow (/ 2 (pow (sqrt 2) 5)) 1/3) x)) (* 1/18 (* (pow (* 2 (sqrt 2)) 1/3) (pow x 2))))))) (* 5/72 (* (pow (/ 2 (pow (sqrt 2) 11)) 1/3) (pow x 2)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (+ (cbrt (+ (sqrt 2) (sqrt 2))) (+ (* (cbrt (+ (sqrt 2) (sqrt 2))) (* x (+ 1/6 (* 1/18 x)))) (- (* (cbrt (/ 2 (pow (sqrt 2) 5))) (* x (+ (* x 1/9) 1/6))) (* (cbrt (/ 2 (pow (sqrt 2) 11))) (* (* x x) 5/72))))) * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (pow (+ 1 (exp x)) 3)) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (+ 1 (exp x)) 3))) * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (pow (+ 1 (exp x)) 3)) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (+ 1 (exp x)) 3))) * * * * [misc]progress: [ 68 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ (/ x (sqrt 2)) (+ (* 2 (sqrt 2)) (+ (* (sqrt 2) x) (+ (* 1/2 (* (sqrt 2) (pow x 2))) (/ (pow x 2) (sqrt 2)))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (cbrt (+ (+ (+ (/ x (sqrt 2)) (* (+ 2 x) (sqrt 2))) (* (sqrt 2) (* (* x 1/2) x))) (* (/ x (sqrt 2)) (- x (* 1/4 (/ x 2)))))) * * * * [misc]progress: [ 69 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (pow (+ 1 (exp x)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (+ (exp x) 1) 3))) * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (pow (+ 1 (exp x)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (+ (exp x) 1) 3))) * * * * [misc]progress: [ 71 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (+ 1 (exp x)) 1) (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (+ 1 (exp x)) 1) (+ (+ (/ (* 1/2 x) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))) * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (+ 1 (exp x))))) * * * * [misc]progress: [ 73 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (+ 1 (exp x))))) * * * * [misc]progress: [ 74 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ (* 1/2 (pow x 2)) (+ 2 x)) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (+ (+ 2 x) (* (* 1/2 x) x)) 1)) (/ 1 (+ 1 (exp x))))) * * * * [misc]progress: [ 75 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 76 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))) * * * [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 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) +inf.0)) , with alts (#) * [enter]simplify: Simplifying (/ (+ 1 (exp x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) 1) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) 1)