* [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 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (+ 1/2 0) 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 (/ (+ (exp (/ 1 x)) 1) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (/ (+ (exp (/ 1 (- x))) 1) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 (+ (exp x) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 (+ 1/2 0) 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 (+ (exp (/ 1 x)) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 (- x))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (expm1 (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 2 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (log1p (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 3 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 6 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (exp (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 7 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 8 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ (+ (exp x) 1) 1)) (sqrt (/ (+ (exp x) 1) 1))) (sqrt (/ (+ (exp x) 1) 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 (37 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (+ (exp x) 1) (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (* (+ (exp x) 1) (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 9 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ (exp x) 1) 1)) (cbrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ (exp x) 1) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 10 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 11 / 37 ] 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 (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * * * * [misc]progress: [ 12 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [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: [ 13 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [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: [ 14 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 15 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (+ (exp x) 1)) * [exit]simplify: Simplified to (expm1 (+ (exp x) 1)) * * * * [misc]progress: [ 18 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (+ (exp x) 1)) * [exit]simplify: Simplified to (log1p (+ (exp x) 1)) * * * * [misc]progress: [ 19 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [exit]simplify: Simplified to (log1p (exp x)) * * * * [misc]progress: [ 24 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (exp x) 1)) * * [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 (exp (+ (exp x) 1)) * [exit]simplify: Simplified to (exp (+ (exp x) 1)) * * * * [misc]progress: [ 25 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [enter]simplify: Simplifying (cbrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * * * * [misc]progress: [ 26 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * * * * [misc]progress: [ 27 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 28 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (exp x) 3) (pow 1 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (fma (exp (+ x x)) (exp x) 1) * [exit]simplify: Simplified to (fma (exp (+ x x)) (exp x) 1) * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (fma (expm1 x) (exp x) 1) * [exit]simplify: Simplified to (fma (expm1 x) (exp x) 1) * * * * [misc]progress: [ 29 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp x) (exp x)) (* 1 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (expm1 (+ x x)) * [exit]simplify: Simplified to (expm1 (+ x x)) * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (expm1 x) * [exit]simplify: Simplified to (expm1 x) * * * * [misc]progress: [ 31 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 37 ] 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 (40 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (+ (fma (/ x (sqrt 2)) 1/2 (sqrt 2)) (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))) * * * * [misc]progress: [ 33 / 37 ] 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: [ 34 / 37 ] 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: [ 35 / 37 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (/ (fma (* x x) 1/2 (+ x 2)) 1)) * * * * [misc]progress: [ 36 / 37 ] 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: [ 37 / 37 ] 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 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log1p (sqrt (/ (+ (exp x) 1) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (sqrt (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (sqrt (/ (+ (exp x) 1) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (+ 1 (sqrt 2)) into (+ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt 2))) into (log (+ 1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (log1p (sqrt (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (sqrt (/ (+ (exp x) 1) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (+ 1 (sqrt 2)) into (+ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt 2))) into (log (+ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt 2))) into (log (+ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (sqrt 2))) into (* 1/2 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 2)))) 1)) (pow (+ 1 (sqrt 2)) 1)))) 1) into (/ 1/2 (* (+ 1 (sqrt 2)) (sqrt 2))) * [misc]backup-simplify: Simplify (/ 1/2 (* (+ 1 (sqrt 2)) (sqrt 2))) into (/ 1/2 (* (+ 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 (+ 1/2 0) 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 (+ 0 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))) into (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 2)))) 2)) (pow (+ 1 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) 1)) (pow (+ 1 (sqrt 2)) 1)))) 2) into (* 1/2 (- (* 1/2 (/ 1 (* (+ 1 (sqrt 2)) (sqrt 2)))) (+ (* 1/4 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))) (* 1/4 (/ 1 (* (pow (+ 1 (sqrt 2)) 2) (pow (sqrt 2) 2))))))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 1/2 (/ 1 (* (+ 1 (sqrt 2)) (sqrt 2)))) (+ (* 1/4 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))) (* 1/4 (/ 1 (* (pow (+ 1 (sqrt 2)) 2) (pow (sqrt 2) 2))))))) into (* 1/2 (- (* 1/2 (/ 1 (* (+ 1 (sqrt 2)) (sqrt 2)))) (+ (* 1/4 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))) (* 1/4 (/ 1 (* (pow (+ 1 (sqrt 2)) 2) (pow (sqrt 2) 2))))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (* 1/2 (/ 1 (* (+ 1 (sqrt 2)) (sqrt 2)))) (+ (* 1/4 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))) (* 1/4 (/ 1 (* (pow (+ 1 (sqrt 2)) 2) (pow (sqrt 2) 2))))))) (pow x 2)) (+ (* (/ 1/2 (* (+ 1 (sqrt 2)) (sqrt 2))) x) (log (+ 1 (sqrt 2))))) into (- (+ (* 1/2 (/ x (* (+ 1 (sqrt 2)) (sqrt 2)))) (+ (log (+ 1 (sqrt 2))) (* 1/4 (/ (pow x 2) (* (+ 1 (sqrt 2)) (sqrt 2)))))) (+ (* 1/8 (/ (pow x 2) (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))) (* 1/8 (/ (pow x 2) (* (pow (+ 1 (sqrt 2)) 2) (pow (sqrt 2) 2)))))) * [misc]approximate: Taking taylor expansion of (log1p (sqrt (/ (+ (exp (/ 1 x)) 1) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (sqrt (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (sqrt (/ (+ (exp (/ 1 x)) 1) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (sqrt (+ 1 (exp (/ 1 x))))) into (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt (+ 1 (exp (/ 1 x)))))) into (log (+ 1 (sqrt (+ 1 (exp (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (log1p (sqrt (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (sqrt (/ (+ (exp (/ 1 x)) 1) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (sqrt (+ 1 (exp (/ 1 x))))) into (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt (+ 1 (exp (/ 1 x)))))) into (log (+ 1 (sqrt (+ 1 (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt (+ 1 (exp (/ 1 x)))))) into (log (+ 1 (sqrt (+ 1 (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (sqrt (+ 1 (exp (/ 1 (/ 1 x))))))) into (log (+ 1 (sqrt (+ 1 (exp x))))) * [misc]approximate: Taking taylor expansion of (log1p (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 (sqrt (+ 1 (exp (/ -1 x))))) into (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt (+ 1 (exp (/ -1 x)))))) into (log (+ 1 (sqrt (+ 1 (exp (/ -1 x)))))) * [misc]taylor: Taking taylor expansion of (log1p (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 (sqrt (+ 1 (exp (/ -1 x))))) into (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt (+ 1 (exp (/ -1 x)))))) into (log (+ 1 (sqrt (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt (+ 1 (exp (/ -1 x)))))) into (log (+ 1 (sqrt (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (sqrt (+ 1 (exp (/ -1 (/ 1 (- x)))))))) into (log (+ 1 (sqrt (+ 1 (exp x))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (sqrt (/ (+ (exp x) 1) 1)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (sqrt (/ (+ (exp x) 1) 1)))) in x * [misc]taylor: Taking taylor expansion of (log1p (sqrt (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (sqrt (/ (+ (exp x) 1) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (+ 1 (sqrt 2)) into (+ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt 2))) into (log (+ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (sqrt 2)))) into (+ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (sqrt (/ (+ (exp x) 1) 1)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (sqrt (/ (+ (exp x) 1) 1)))) in x * [misc]taylor: Taking taylor expansion of (log1p (sqrt (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (sqrt (/ (+ (exp x) 1) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (+ 1 (sqrt 2)) into (+ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt 2))) into (log (+ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (sqrt 2)))) into (+ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (sqrt 2)) -1) into (sqrt 2) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (sqrt 2))) into (* 1/2 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 2)))) 1)) (pow (+ 1 (sqrt 2)) 1)))) 1) into (/ 1/2 (* (+ 1 (sqrt 2)) (sqrt 2))) * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (sqrt 2)))) (+ (* (/ (pow (/ 1/2 (* (+ 1 (sqrt 2)) (sqrt 2))) 1) 1)))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (sqrt 2)) 0) 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 (+ 1/2 0) 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 (+ 0 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))) into (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 2)))) 2)) (pow (+ 1 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) 1)) (pow (+ 1 (sqrt 2)) 1)))) 2) into (* 1/2 (- (* 1/2 (/ 1 (* (+ 1 (sqrt 2)) (sqrt 2)))) (+ (* 1/4 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))) (* 1/4 (/ 1 (* (pow (+ 1 (sqrt 2)) 2) (pow (sqrt 2) 2))))))) * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (sqrt 2)))) (+ (* (/ (pow (/ 1/2 (* (+ 1 (sqrt 2)) (sqrt 2))) 2) 2)) (* (/ (pow (* 1/2 (- (* 1/2 (/ 1 (* (+ 1 (sqrt 2)) (sqrt 2)))) (+ (* 1/4 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))) (* 1/4 (/ 1 (* (pow (+ 1 (sqrt 2)) 2) (pow (sqrt 2) 2))))))) 1) 1)))) into (* (+ 1 (sqrt 2)) (- (* 1/4 (/ 1 (* (+ 1 (sqrt 2)) (sqrt 2)))) (* 1/8 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt 2)) (- (* 1/4 (/ 1 (* (+ 1 (sqrt 2)) (sqrt 2)))) (* 1/8 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))))) 0) into (- (+ (* 1/4 (/ 1 (+ 1 (sqrt 2)))) (* 1/4 (/ 1 (* (+ 1 (sqrt 2)) (sqrt 2))))) (+ (* 1/8 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))) (* 1/8 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 2)))))) * [misc]backup-simplify: Simplify (- (+ (* 1/4 (/ 1 (+ 1 (sqrt 2)))) (* 1/4 (/ 1 (* (+ 1 (sqrt 2)) (sqrt 2))))) (+ (* 1/8 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))) (* 1/8 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 2)))))) into (- (+ (* 1/4 (/ 1 (+ 1 (sqrt 2)))) (* 1/4 (/ 1 (* (+ 1 (sqrt 2)) (sqrt 2))))) (+ (* 1/8 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))) (* 1/8 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 2)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/4 (/ 1 (+ 1 (sqrt 2)))) (* 1/4 (/ 1 (* (+ 1 (sqrt 2)) (sqrt 2))))) (+ (* 1/8 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))) (* 1/8 (/ 1 (* (+ 1 (sqrt 2)) (pow (sqrt 2) 2)))))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/4 (/ (pow x 2) (+ 1 (sqrt 2)))) (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (* (+ 1 (sqrt 2)) (sqrt 2)))) (* 1/2 (/ x (sqrt 2)))))) (+ (* 1/8 (/ (pow x 2) (* (+ 1 (sqrt 2)) (pow (sqrt 2) 2)))) (* 1/8 (/ (pow x 2) (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (exp (/ 1 x)) 1) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (exp (/ 1 x)) 1) 1)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (sqrt (/ (+ (exp (/ 1 x)) 1) 1)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (sqrt (/ (+ (exp (/ 1 x)) 1) 1)))) in x * [misc]taylor: Taking taylor expansion of (log1p (sqrt (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (sqrt (/ (+ (exp (/ 1 x)) 1) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (sqrt (+ 1 (exp (/ 1 x))))) into (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt (+ 1 (exp (/ 1 x)))))) into (log (+ 1 (sqrt (+ 1 (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (sqrt (+ 1 (exp (/ 1 x))))))) into (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (exp (/ 1 x)) 1) 1)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (sqrt (/ (+ (exp (/ 1 x)) 1) 1)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (sqrt (/ (+ (exp (/ 1 x)) 1) 1)))) in x * [misc]taylor: Taking taylor expansion of (log1p (sqrt (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (sqrt (/ (+ (exp (/ 1 x)) 1) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (sqrt (+ 1 (exp (/ 1 x))))) into (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt (+ 1 (exp (/ 1 x)))))) into (log (+ 1 (sqrt (+ 1 (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (sqrt (+ 1 (exp (/ 1 x))))))) into (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) -1) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (sqrt (+ 1 (exp (/ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (sqrt (+ 1 (exp (/ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (sqrt (+ 1 (exp (/ 1 x))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (sqrt (+ 1 (exp (/ 1 x))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (sqrt (+ 1 (exp (/ 1 x))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (sqrt (+ 1 (exp (/ 1 x))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (expm1 (log1p (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)))) in x * [misc]taylor: Taking taylor expansion of (log1p (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 (sqrt (+ 1 (exp (/ -1 x))))) into (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt (+ 1 (exp (/ -1 x)))))) into (log (+ 1 (sqrt (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (sqrt (+ 1 (exp (/ -1 x))))))) into (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)))) in x * [misc]taylor: Taking taylor expansion of (log1p (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 (sqrt (+ 1 (exp (/ -1 x))))) into (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (log (+ 1 (sqrt (+ 1 (exp (/ -1 x)))))) into (log (+ 1 (sqrt (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (sqrt (+ 1 (exp (/ -1 x))))))) into (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) -1) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (sqrt (+ 1 (exp (/ -1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (sqrt (+ 1 (exp (/ -1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (sqrt (+ 1 (exp (/ -1 x))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (sqrt (+ 1 (exp (/ -1 x))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (sqrt (+ 1 (exp (/ -1 x))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (sqrt (+ 1 (exp (/ -1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (sqrt (+ 1 (exp (/ -1 x))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ (+ (exp x) 1) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (+ 1/2 0) 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 (/ (+ (exp (/ 1 x)) 1) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (/ (+ (exp (/ 1 (- x))) 1) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 1 1 1) * [misc]approximate: Taking taylor expansion of (+ (exp x) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 (+ 1/2 0) 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 (+ (exp (/ 1 x)) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 (- x))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (/ (+ 1 (exp x)) 1))) * [exit]simplify: Simplified to (+ 1 (sqrt (/ (+ 1 (exp x)) 1))) * * * * [misc]progress: [ 2 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * * * * [misc]progress: [ 3 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log1p (log1p (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (log1p (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 4 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (log1p (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (log (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 7 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (log1p (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (exp (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 8 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (sqrt (/ (+ (exp x) 1) 1)))) (cbrt (log1p (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (sqrt (/ (+ (exp x) 1) 1)))) (cbrt (log1p (sqrt (/ (+ (exp x) 1) 1))))) * [exit]simplify: Simplified to (* (cbrt (log1p (sqrt (/ (+ (exp x) 1) 1)))) (cbrt (log1p (sqrt (/ (+ (exp x) 1) 1))))) * [enter]simplify: Simplifying (cbrt (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (log1p (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (cbrt (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 9 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (sqrt (/ (+ (exp x) 1) 1))) (log1p (sqrt (/ (+ (exp x) 1) 1)))) (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (pow (log1p (sqrt (/ (+ (exp x) 1) 1))) 3) * [exit]simplify: Simplified to (pow (log1p (sqrt (/ (+ (exp x) 1) 1))) 3) * * * * [misc]progress: [ 10 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (log1p (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (log1p (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (sqrt (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (log1p (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 11 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (log1p (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (exp (log1p (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 13 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (expm1 (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 14 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (log1p (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 15 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 18 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (exp (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 19 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1))))) (cbrt (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (cbrt (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 20 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1)))) (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1))))) (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (/ (+ (exp x) 1) 1) (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (* (/ (+ (exp x) 1) 1) (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 21 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [enter]simplify: Simplifying (sqrt (expm1 (log1p (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 22 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (expm1 (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 24 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (log1p (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 25 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 28 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (exp (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 29 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 30 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ (+ (exp x) 1) 1)) (sqrt (/ (+ (exp x) 1) 1))) (sqrt (/ (+ (exp x) 1) 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 (37 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (+ (exp x) 1) (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (* (+ (exp x) 1) (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 31 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ (exp x) 1) 1)) (cbrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ (exp x) 1) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 32 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 33 / 65 ] 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 (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * * * * [misc]progress: [ 34 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [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: [ 35 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [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: [ 36 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 37 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (+ (exp x) 1)) * [exit]simplify: Simplified to (expm1 (+ (exp x) 1)) * * * * [misc]progress: [ 40 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (+ (exp x) 1)) * [exit]simplify: Simplified to (log1p (+ (exp x) 1)) * * * * [misc]progress: [ 41 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [exit]simplify: Simplified to (log1p (exp x)) * * * * [misc]progress: [ 46 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (exp x) 1)) * * [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 (exp (+ (exp x) 1)) * [exit]simplify: Simplified to (exp (+ (exp x) 1)) * * * * [misc]progress: [ 47 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [enter]simplify: Simplifying (cbrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * * * * [misc]progress: [ 48 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * * * * [misc]progress: [ 49 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 50 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (exp x) 3) (pow 1 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (fma (exp (+ x x)) (exp x) 1) * [exit]simplify: Simplified to (fma (exp (+ x x)) (exp x) 1) * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (fma (expm1 x) (exp x) 1) * [exit]simplify: Simplified to (fma (expm1 x) (exp x) 1) * * * * [misc]progress: [ 51 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp x) (exp x)) (* 1 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (expm1 (+ x x)) * [exit]simplify: Simplified to (expm1 (+ x x)) * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (expm1 x) * [exit]simplify: Simplified to (expm1 x) * * * * [misc]progress: [ 53 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (+ (* 1/2 (/ x (* (+ 1 (sqrt 2)) (sqrt 2)))) (+ (log (+ 1 (sqrt 2))) (* 1/4 (/ (pow x 2) (* (+ 1 (sqrt 2)) (sqrt 2)))))) (+ (* 1/8 (/ (pow x 2) (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))) (* 1/8 (/ (pow x 2) (* (pow (+ 1 (sqrt 2)) 2) (pow (sqrt 2) 2))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (expm1 (+ (fma 1/4 (/ (* x x) (+ (sqrt 2) 2)) (fma 1/2 (/ x (+ (sqrt 2) 2)) (log1p (sqrt 2)))) (- (/ (- (/ (* x x) (/ 2 1/8))) (* (+ 1 (sqrt 2)) (+ 1 (sqrt 2)))) (/ (/ (* x x) (/ 2 1/8)) (+ (sqrt 2) 2))))) * * * * [misc]progress: [ 55 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (+ 1 (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 56 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (+ 1 (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 57 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (/ (pow x 2) (+ 1 (sqrt 2)))) (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (* (+ 1 (sqrt 2)) (sqrt 2)))) (* 1/2 (/ x (sqrt 2)))))) (+ (* 1/8 (/ (pow x 2) (* (+ 1 (sqrt 2)) (pow (sqrt 2) 2)))) (* 1/8 (/ (pow x 2) (* (+ 1 (sqrt 2)) (pow (sqrt 2) 3)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (fma 1/4 (/ (* x x) (+ 1 (sqrt 2))) (- (fma (/ (* x x) (+ (sqrt 2) 2)) 1/4 (fma 1/2 (/ x (sqrt 2)) (sqrt 2))) (* (/ (* x x) (+ 1 (sqrt 2))) (+ (/ 1/8 2) (/ (/ 1/8 2) (sqrt 2)))))) * * * * [misc]progress: [ 58 / 65 ] 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: [ 59 / 65 ] 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: [ 60 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (- (+ (* 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 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (+ (sqrt 2) (fma (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)) (/ (* x 1/2) (sqrt 2)))) * * * * [misc]progress: [ 61 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 62 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 63 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (sqrt (/ (+ (* 1/2 (pow x 2)) (+ 2 x)) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (/ (fma x (* x 1/2) (+ x 2)) 1)) * * * * [misc]progress: [ 64 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 65 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (sqrt (/ (+ 1 (exp x)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (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 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (+ 1/2 0) 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 (+ 1/2 0) 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 (/ (+ (exp (/ 1 x)) 1) 1))) (sqrt (sqrt (/ (+ (exp (/ 1 x)) 1) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (/ (+ (exp (/ 1 x)) 1) 1))) (sqrt (sqrt (/ (+ (exp (/ 1 x)) 1) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (/ (+ (exp (/ 1 x)) 1) 1))) (sqrt (sqrt (/ (+ (exp (/ 1 x)) 1) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (/ (+ (exp (/ 1 (- x))) 1) 1))) (sqrt (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1))) (sqrt (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 (/ (+ (exp (/ 1 (- x))) 1) 1))) (sqrt (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (/ (+ (exp x) 1) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (+ 1/2 0) 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 (/ (+ (exp (/ 1 x)) 1) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (/ (+ (exp (/ 1 (- x))) 1) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (/ (+ (exp x) 1) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (/ (+ (exp x) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (+ 1/2 0) 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 (/ (+ (exp (/ 1 x)) 1) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (/ (+ (exp (/ 1 x)) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (/ (+ (exp (/ 1 (- x))) 1) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 (/ (+ (exp (/ 1 (- x))) 1) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) 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 (+ 1/2 0) 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 (/ (+ (exp (/ 1 x)) 1) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) 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 (/ (+ (exp (/ 1 (- x))) 1) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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 (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) 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: simplifying candidates * * * * [misc]progress: [ 1 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 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 (expm1 (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (expm1 (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 2 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 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 (log1p (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (log1p (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 3 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [exit]simplify: Simplified to (+ 1/2 1/2) * * * * [misc]progress: [ 4 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 5 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (+ (exp x) 1) 1)) (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1) * [exit]simplify: Simplified to (/ (+ (exp x) 1) 1) * * * * [misc]progress: [ 6 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * * * * [misc]progress: [ 7 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 9 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (log (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (log (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * [exit]simplify: Simplified to (+ (log (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (log (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * * * * [misc]progress: [ 11 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 12 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (exp (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 13 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (* (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (+ (exp x) 1) 1)) (/ (+ (exp x) 1) 1)) * [exit]simplify: Simplified to (* (sqrt (/ (+ (exp x) 1) 1)) (/ (+ (exp x) 1) 1)) * * * * [misc]progress: [ 14 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1))))) (cbrt (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (cbrt (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 15 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1))))) (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (/ (+ (exp x) 1) 1) (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (* (/ (+ (exp x) 1) 1) (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 16 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (+ (exp x) 1) 1)) (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1) * [exit]simplify: Simplified to (/ (+ (exp x) 1) 1) * * * * [misc]progress: [ 17 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [enter]simplify: Simplifying (sqrt (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 18 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (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 (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [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: [ 20 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (* (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * * * * [misc]progress: [ 22 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (fabs (cbrt (sqrt (/ (+ (exp x) 1) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (fabs (cbrt (sqrt (/ (+ (exp x) 1) 1))))) * * * * [misc]progress: [ 23 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (* (cbrt (/ (+ (exp x) 1) 1)) (cbrt (/ (+ (exp x) 1) 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (sqrt (fabs (cbrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (fabs (cbrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 24 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 25 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt 1)) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 26 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 27 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 28 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 29 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 30 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 31 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 32 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (cbrt (sqrt (/ (+ (exp x) 1) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (cbrt (sqrt (/ (+ (exp x) 1) 1))))) * * * * [misc]progress: [ 33 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (cbrt (/ (+ (exp x) 1) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (cbrt (/ (+ (exp x) 1) 1))))) * * * * [misc]progress: [ 34 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 35 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * * * * [misc]progress: [ 36 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ 1 1))) (sqrt (sqrt (/ (+ (exp x) 1) 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: [ 37 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 38 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * * * * [misc]progress: [ 39 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 40 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * * * * [misc]progress: [ 41 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 42 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (+ (exp x) 1)))) * * * * [misc]progress: [ 43 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 45 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log1p (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (log1p (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 46 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 49 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (exp (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 50 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 51 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1)) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (/ (+ (exp x) 1) 1)) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 52 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 53 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (/ (+ (exp x) 1) 1)) (cbrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 54 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 55 / 111 ] 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 (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 56 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [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: [ 57 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 58 / 111 ] 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 (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 59 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [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: [ 60 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 61 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 65 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log1p (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (log1p (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 66 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 69 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (exp (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 70 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 71 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) (sqrt (sqrt (/ (+ (exp x) 1) 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 (/ (+ (exp x) 1) 1)) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (/ (+ (exp x) 1) 1)) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 72 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 73 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (/ (+ (exp x) 1) 1)) (cbrt (/ (+ (exp x) 1) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 74 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 75 / 111 ] 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 (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 76 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [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: [ 77 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 78 / 111 ] 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 (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 79 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [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: [ 80 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 81 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (expm1 (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 85 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (log1p (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 86 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 89 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (exp (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 90 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 91 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ (+ (exp x) 1) 1)) (sqrt (/ (+ (exp x) 1) 1))) (sqrt (/ (+ (exp x) 1) 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 (37 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (+ (exp x) 1) (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (* (+ (exp x) 1) (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 92 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ (exp x) 1) 1)) (cbrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ (exp x) 1) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 93 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 94 / 111 ] 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 (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * * * * [misc]progress: [ 95 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [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: [ 96 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [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: [ 97 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 98 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 111 ] 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 (40 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (+ (fma (/ x (sqrt 2)) 1/2 (sqrt 2)) (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))) * * * * [misc]progress: [ 101 / 111 ] 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: [ 102 / 111 ] 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: [ 103 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 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 (61 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (fma (sqrt (/ 1 (pow (sqrt 2) 7))) (* (- x) (* x 3/32)) (fma (sqrt (/ (/ 1 2) (sqrt 2))) (fma (* x x) 1/8 (* x 1/4)) (sqrt (sqrt 2))))) * * * * [misc]progress: [ 104 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (pow (+ 1 (exp x)) 1/4)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (pow (+ (exp x) 1) 1/4)) * * * * [misc]progress: [ 105 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (pow (+ 1 (exp x)) 1/4)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (pow (+ (exp x) 1) 1/4)) * * * * [misc]progress: [ 106 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (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)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (* (fma (sqrt (/ 1 (pow (sqrt 2) 7))) (* (* 3/32 x) (- x)) (fma (sqrt (/ (/ 1 2) (sqrt 2))) (fma (* x 1/8) x (* x 1/4)) (sqrt (sqrt 2)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) * * * * [misc]progress: [ 107 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (+ 1 (exp x)) 1/4) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (pow (+ 1 (exp x)) 1/4)) * * * * [misc]progress: [ 108 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (+ 1 (exp x)) 1/4) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (pow (+ 1 (exp x)) 1/4)) * * * * [misc]progress: [ 109 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 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 (52 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))) (fma (/ x (sqrt 2)) 1/2 (sqrt 2)))) (sqrt (sqrt (/ (+ (exp x) 1) 1)))) * * * * [misc]progress: [ 110 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (+ (exp x) 1)))) * * * * [misc]progress: [ 111 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (+ (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))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (log1p (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (log1p (sqrt (/ (+ (exp x) 1) 1)))