65.870 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.019 * [simplify]: Simplifying: (/ 2 (+ (exp x) (exp (- x)))) 0.019 * * [simplify]: iteration 1: (7 enodes) 0.020 * * [simplify]: iteration 2: (10 enodes) 0.021 * * [simplify]: Extracting #0: cost 1 inf + 0 0.021 * * [simplify]: Extracting #1: cost 3 inf + 0 0.021 * * [simplify]: Extracting #2: cost 4 inf + 1 0.021 * * [simplify]: Extracting #3: cost 7 inf + 1 0.021 * * [simplify]: Extracting #4: cost 0 inf + 709 0.021 * [simplify]: Simplified to: (/ 2 (+ (exp x) (exp (- x)))) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.082 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.095 * * * [progress]: generating series expansions 0.095 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.095 * [backup-simplify]: Simplify (/ 2 (+ (exp x) (exp (- x)))) into (/ 2 (+ (exp x) (exp (- x)))) 0.095 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in (x) around 0 0.095 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x 0.095 * [taylor]: Taking taylor expansion of 2 in x 0.095 * [backup-simplify]: Simplify 2 into 2 0.095 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.095 * [taylor]: Taking taylor expansion of (exp x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (exp 0) into 1 0.095 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.095 * [taylor]: Taking taylor expansion of (- x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (- 1) into -1 0.096 * [backup-simplify]: Simplify (exp 0) into 1 0.096 * [backup-simplify]: Simplify (+ 1 1) into 2 0.097 * [backup-simplify]: Simplify (/ 2 2) into 1 0.097 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x 0.097 * [taylor]: Taking taylor expansion of 2 in x 0.097 * [backup-simplify]: Simplify 2 into 2 0.097 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.097 * [taylor]: Taking taylor expansion of (exp x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (exp 0) into 1 0.097 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.097 * [taylor]: Taking taylor expansion of (- x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (- 1) into -1 0.097 * [backup-simplify]: Simplify (exp 0) into 1 0.098 * [backup-simplify]: Simplify (+ 1 1) into 2 0.098 * [backup-simplify]: Simplify (/ 2 2) into 1 0.098 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.099 * [backup-simplify]: Simplify (- 1) into -1 0.100 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.100 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.101 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.102 * [backup-simplify]: Simplify (- 1) into -1 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.103 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.104 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 0.104 * [backup-simplify]: Simplify -1/2 into -1/2 0.106 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.106 * [backup-simplify]: Simplify (- 1) into -1 0.106 * [backup-simplify]: Simplify (- 1) into -1 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.108 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.112 * [backup-simplify]: Simplify (- 1) into -1 0.112 * [backup-simplify]: Simplify (- 1) into -1 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (- 1) into -1 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.116 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.117 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 0.117 * [backup-simplify]: Simplify 5/24 into 5/24 0.117 * [backup-simplify]: Simplify (+ (* 5/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))) 0.117 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.117 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.117 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.117 * [taylor]: Taking taylor expansion of 2 in x 0.117 * [backup-simplify]: Simplify 2 into 2 0.117 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.117 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.118 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.118 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [backup-simplify]: Simplify (- 1) into -1 0.119 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.119 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.119 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.119 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.119 * [taylor]: Taking taylor expansion of 2 in x 0.119 * [backup-simplify]: Simplify 2 into 2 0.119 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.119 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.120 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [backup-simplify]: Simplify (- 1) into -1 0.121 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.121 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.121 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.121 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2 (+ (exp x) (exp (- x)))) 0.130 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.130 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.130 * [taylor]: Taking taylor expansion of 2 in x 0.130 * [backup-simplify]: Simplify 2 into 2 0.130 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.130 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.131 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.131 * [taylor]: Taking taylor expansion of -1 in x 0.131 * [backup-simplify]: Simplify -1 into -1 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (/ -1 1) into -1 0.131 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.131 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.131 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.131 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.131 * [taylor]: Taking taylor expansion of 2 in x 0.132 * [backup-simplify]: Simplify 2 into 2 0.132 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.132 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.132 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.132 * [taylor]: Taking taylor expansion of -1 in x 0.132 * [backup-simplify]: Simplify -1 into -1 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ -1 1) into -1 0.133 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.133 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.133 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.134 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x))) 0.141 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.141 * [backup-simplify]: Simplify (+ (exp x) (exp (- x))) into (+ (exp x) (exp (- x))) 0.141 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.141 * [taylor]: Taking taylor expansion of (exp x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (exp 0) into 1 0.141 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.141 * [taylor]: Taking taylor expansion of (- x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (- 1) into -1 0.142 * [backup-simplify]: Simplify (exp 0) into 1 0.142 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.142 * [taylor]: Taking taylor expansion of (exp x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (exp 0) into 1 0.142 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.142 * [taylor]: Taking taylor expansion of (- x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (- 1) into -1 0.143 * [backup-simplify]: Simplify (exp 0) into 1 0.143 * [backup-simplify]: Simplify (+ 1 1) into 2 0.143 * [backup-simplify]: Simplify 2 into 2 0.144 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.145 * [backup-simplify]: Simplify (- 1) into -1 0.146 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.146 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.148 * [backup-simplify]: Simplify (- 1) into -1 0.149 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.151 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.151 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.154 * [backup-simplify]: Simplify (- 1) into -1 0.154 * [backup-simplify]: Simplify (- 1) into -1 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.157 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.160 * [backup-simplify]: Simplify (- 1) into -1 0.160 * [backup-simplify]: Simplify (- 1) into -1 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (- 1) into -1 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.164 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.164 * [backup-simplify]: Simplify 1/12 into 1/12 0.164 * [backup-simplify]: Simplify (+ (* 1/12 (pow x 4)) (+ (* 1 (pow x 2)) 2)) into (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 0.164 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.164 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.164 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.164 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.165 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.165 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [backup-simplify]: Simplify (- 1) into -1 0.165 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.165 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.165 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.166 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (- 1) into -1 0.166 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.167 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.167 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x))))) into (+ (exp x) (exp (- x))) 0.168 * [backup-simplify]: Simplify (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.169 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.169 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.169 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.169 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.169 * [taylor]: Taking taylor expansion of -1 in x 0.169 * [backup-simplify]: Simplify -1 into -1 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ -1 1) into -1 0.169 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.169 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.169 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.170 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.170 * [taylor]: Taking taylor expansion of -1 in x 0.170 * [backup-simplify]: Simplify -1 into -1 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ -1 1) into -1 0.170 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.170 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.170 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x))))) into (+ (exp (* -1 x)) (exp x)) 0.172 * * * [progress]: simplifying candidates 0.172 * * * * [progress]: [ 1 / 58 ] simplifiying candidate # 0.172 * * * * [progress]: [ 2 / 58 ] simplifiying candidate # 0.172 * * * * [progress]: [ 3 / 58 ] simplifiying candidate # 0.172 * * * * [progress]: [ 4 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 5 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 6 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 7 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 8 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 9 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 10 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 11 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 12 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 13 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 14 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 15 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 16 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 17 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 18 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 19 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 20 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 21 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 22 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 23 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 24 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 25 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 26 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 27 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 28 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 29 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 30 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 31 / 58 ] simplifiying candidate # 0.173 * * * * [progress]: [ 32 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 33 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 34 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 35 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 36 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 37 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 38 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 39 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 40 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 41 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 42 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 43 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 44 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 45 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 46 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 47 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 48 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 49 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 50 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 51 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 52 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 53 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 54 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 55 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 56 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 57 / 58 ] simplifiying candidate # 0.174 * * * * [progress]: [ 58 / 58 ] simplifiying candidate # 0.175 * [simplify]: Simplifying: (expm1 (/ 2 (+ (exp x) (exp (- x))))) (log1p (/ 2 (+ (exp x) (exp (- x))))) (- (log 2) (log (+ (exp x) (exp (- x))))) (log (/ 2 (+ (exp x) (exp (- x))))) (exp (/ 2 (+ (exp x) (exp (- x))))) (/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))) (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))) (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))) (- 2) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2) (cbrt 2)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2) (cbrt 2)) 1) (/ (cbrt 2) (+ (exp x) (exp (- x)))) (/ (* (cbrt 2) (cbrt 2)) 1) (/ (cbrt 2) (+ (exp x) (exp (- x)))) (/ (sqrt 2) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) 1) (/ (sqrt 2) (+ (exp x) (exp (- x)))) (/ (sqrt 2) 1) (/ (sqrt 2) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ 1 1) (/ 2 (+ (exp x) (exp (- x)))) (/ 1 1) (/ 2 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2) (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ 2 1) (/ 2 1) (/ (+ (exp x) (exp (- x))) (cbrt 2)) (/ (+ (exp x) (exp (- x))) (sqrt 2)) (/ (+ (exp x) (exp (- x))) 2) (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (exp x) (exp (- x)))) (* (exp (exp x)) (exp (exp (- x)))) (log (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))) (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))) (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp (* -1 x)) (exp x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) 0.176 * * [simplify]: iteration 1: (92 enodes) 0.211 * * [simplify]: iteration 2: (204 enodes) 0.283 * * [simplify]: iteration 3: (518 enodes) 0.530 * * [simplify]: iteration 4: (1196 enodes) 2.531 * * [simplify]: Extracting #0: cost 50 inf + 0 2.532 * * [simplify]: Extracting #1: cost 295 inf + 44 2.534 * * [simplify]: Extracting #2: cost 562 inf + 1825 2.544 * * [simplify]: Extracting #3: cost 352 inf + 42380 2.581 * * [simplify]: Extracting #4: cost 78 inf + 126684 2.618 * * [simplify]: Extracting #5: cost 4 inf + 161674 2.650 * * [simplify]: Extracting #6: cost 0 inf + 163463 2.703 * [simplify]: Simplified to: (expm1 (/ 2 (+ (/ 1 (exp x)) (exp x)))) (log1p (/ 2 (+ (/ 1 (exp x)) (exp x)))) (log (/ 2 (+ (/ 1 (exp x)) (exp x)))) (log (/ 2 (+ (/ 1 (exp x)) (exp x)))) (exp (/ 2 (+ (/ 1 (exp x)) (exp x)))) (/ 8 (* (* (+ (/ 1 (exp x)) (exp x)) (+ (/ 1 (exp x)) (exp x))) (+ (/ 1 (exp x)) (exp x)))) (* (cbrt (/ 2 (+ (/ 1 (exp x)) (exp x)))) (cbrt (/ 2 (+ (/ 1 (exp x)) (exp x))))) (cbrt (/ 2 (+ (/ 1 (exp x)) (exp x)))) (/ 8 (* (* (+ (/ 1 (exp x)) (exp x)) (+ (/ 1 (exp x)) (exp x))) (+ (/ 1 (exp x)) (exp x)))) (sqrt (/ 2 (+ (/ 1 (exp x)) (exp x)))) (sqrt (/ 2 (+ (/ 1 (exp x)) (exp x)))) -2 (- (/ -1 (exp x)) (exp x)) (* (/ (cbrt 2) (cbrt (+ (/ 1 (exp x)) (exp x)))) (/ (cbrt 2) (cbrt (+ (/ 1 (exp x)) (exp x))))) (/ (cbrt 2) (cbrt (+ (/ 1 (exp x)) (exp x)))) (* (/ (cbrt 2) (sqrt (+ (/ 1 (exp x)) (exp x)))) (cbrt 2)) (/ (cbrt 2) (sqrt (+ (/ 1 (exp x)) (exp x)))) (* (cbrt 2) (cbrt 2)) (/ (cbrt 2) (+ (/ 1 (exp x)) (exp x))) (* (cbrt 2) (cbrt 2)) (/ (cbrt 2) (+ (/ 1 (exp x)) (exp x))) (/ (sqrt 2) (* (cbrt (+ (/ 1 (exp x)) (exp x))) (cbrt (+ (/ 1 (exp x)) (exp x))))) (/ (sqrt 2) (cbrt (+ (/ 1 (exp x)) (exp x)))) (/ (sqrt 2) (sqrt (+ (/ 1 (exp x)) (exp x)))) (/ (sqrt 2) (sqrt (+ (/ 1 (exp x)) (exp x)))) (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))) (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))) (/ (/ 1 (cbrt (+ (/ 1 (exp x)) (exp x)))) (cbrt (+ (/ 1 (exp x)) (exp x)))) (/ 2 (cbrt (+ (/ 1 (exp x)) (exp x)))) (/ 1 (sqrt (+ (/ 1 (exp x)) (exp x)))) (/ 2 (sqrt (+ (/ 1 (exp x)) (exp x)))) 1 (/ 2 (+ (/ 1 (exp x)) (exp x))) 1 (/ 2 (+ (/ 1 (exp x)) (exp x))) (/ 1 (+ (/ 1 (exp x)) (exp x))) (/ (+ (/ 1 (exp x)) (exp x)) 2) (/ (/ 2 (cbrt (+ (/ 1 (exp x)) (exp x)))) (cbrt (+ (/ 1 (exp x)) (exp x)))) (/ 2 (sqrt (+ (/ 1 (exp x)) (exp x)))) 2 2 (/ (+ (/ 1 (exp x)) (exp x)) (cbrt 2)) (/ (+ (/ 1 (exp x)) (exp x)) (sqrt 2)) (/ (+ (/ 1 (exp x)) (exp x)) 2) (/ 2 (+ (exp (* 3 x)) (exp (* x -3)))) (/ 2 (fma (exp x) (exp x) (/ (/ -1 (exp x)) (exp x)))) (expm1 (+ (/ 1 (exp x)) (exp x))) (log1p (+ (/ 1 (exp x)) (exp x))) (exp (+ (/ 1 (exp x)) (exp x))) (log (+ (/ 1 (exp x)) (exp x))) (exp (+ (/ 1 (exp x)) (exp x))) (* (cbrt (+ (/ 1 (exp x)) (exp x))) (cbrt (+ (/ 1 (exp x)) (exp x)))) (cbrt (+ (/ 1 (exp x)) (exp x))) (* (* (+ (/ 1 (exp x)) (exp x)) (+ (/ 1 (exp x)) (exp x))) (+ (/ 1 (exp x)) (exp x))) (sqrt (+ (/ 1 (exp x)) (exp x))) (sqrt (+ (/ 1 (exp x)) (exp x))) (+ (exp (* 3 x)) (exp (* x -3))) (fma (/ 1 (exp x)) (/ 1 (exp x)) (fma (exp x) (exp x) -1)) (fma (exp x) (exp x) (/ (/ -1 (exp x)) (exp x))) (+ (/ -1 (exp x)) (exp x)) (+ (/ 1 (exp x)) (exp x)) (fma -1/2 (* x x) (fma (* (* x x) (* x x)) 5/24 1)) (/ 2 (+ (/ 1 (exp x)) (exp x))) (/ 2 (+ (/ 1 (exp x)) (exp x))) (fma (fma 1/12 (* x x) 1) (* x x) 2) (+ (/ 1 (exp x)) (exp x)) (+ (/ 1 (exp x)) (exp x)) 2.708 * * * [progress]: adding candidates to table 3.260 * * [progress]: iteration 2 / 4 3.261 * * * [progress]: picking best candidate 3.263 * * * * [pick]: Picked # 3.263 * * * [progress]: localizing error 3.284 * * * [progress]: generating rewritten candidates 3.284 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.354 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 3.365 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.407 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 3.428 * * * [progress]: generating series expansions 3.428 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.429 * [backup-simplify]: Simplify (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x)))) into (/ (pow (sqrt 2) 2) (+ (exp x) (/ 1 (exp x)))) 3.429 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (/ 1 (exp x)))) in (x) around 0 3.429 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (/ 1 (exp x)))) in x 3.429 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 3.429 * [taylor]: Taking taylor expansion of (sqrt 2) in x 3.429 * [taylor]: Taking taylor expansion of 2 in x 3.429 * [backup-simplify]: Simplify 2 into 2 3.429 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.430 * [taylor]: Taking taylor expansion of (+ (exp x) (/ 1 (exp x))) in x 3.430 * [taylor]: Taking taylor expansion of (exp x) in x 3.430 * [taylor]: Taking taylor expansion of x in x 3.430 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify 1 into 1 3.430 * [backup-simplify]: Simplify (exp 0) into 1 3.430 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 3.430 * [taylor]: Taking taylor expansion of (exp x) in x 3.430 * [taylor]: Taking taylor expansion of x in x 3.430 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify 1 into 1 3.430 * [backup-simplify]: Simplify (exp 0) into 1 3.430 * [backup-simplify]: Simplify (/ 1 1) into 1 3.431 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 3.431 * [backup-simplify]: Simplify (+ 1 1) into 2 3.432 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 2) into (* 1/2 (pow (sqrt 2) 2)) 3.432 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (/ 1 (exp x)))) in x 3.432 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 3.432 * [taylor]: Taking taylor expansion of (sqrt 2) in x 3.432 * [taylor]: Taking taylor expansion of 2 in x 3.432 * [backup-simplify]: Simplify 2 into 2 3.432 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.433 * [taylor]: Taking taylor expansion of (+ (exp x) (/ 1 (exp x))) in x 3.433 * [taylor]: Taking taylor expansion of (exp x) in x 3.433 * [taylor]: Taking taylor expansion of x in x 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (exp 0) into 1 3.433 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 3.433 * [taylor]: Taking taylor expansion of (exp x) in x 3.433 * [taylor]: Taking taylor expansion of x in x 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (exp 0) into 1 3.433 * [backup-simplify]: Simplify (/ 1 1) into 1 3.434 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 3.435 * [backup-simplify]: Simplify (+ 1 1) into 2 3.436 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 2) into (* 1/2 (pow (sqrt 2) 2)) 3.438 * [backup-simplify]: Simplify (* 1/2 (pow (sqrt 2) 2)) into (* 1/2 (pow (sqrt 2) 2)) 3.439 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 3.440 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.441 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 3.442 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.444 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 0 2)))) into 0 3.444 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 3.445 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 3.446 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 3.447 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 3.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 1)))) into 1/2 3.448 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.452 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 1 2)) (* 0 (/ 0 2)))) into (- (* 1/4 (pow (sqrt 2) 2))) 3.454 * [backup-simplify]: Simplify (- (* 1/4 (pow (sqrt 2) 2))) into (- (* 1/4 (pow (sqrt 2) 2))) 3.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.455 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 3.456 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 3.458 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/6 1)) (* -1 (/ 1/2 1)) (* 1/2 (/ 1 1)))) into -1/6 3.459 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 3.460 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 0 2)) (* 0 (/ 1 2)) (* (- (* 1/4 (pow (sqrt 2) 2))) (/ 0 2)))) into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.462 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 3.464 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 3.467 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 3.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/24 1)) (* -1 (/ 1/6 1)) (* 1/2 (/ 1/2 1)) (* -1/6 (/ 1 1)))) into 1/24 3.468 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 3.477 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 1/12 2)) (* 0 (/ 0 2)) (* (- (* 1/4 (pow (sqrt 2) 2))) (/ 1 2)) (* 0 (/ 0 2)))) into (* 5/48 (pow (sqrt 2) 2)) 3.479 * [backup-simplify]: Simplify (* 5/48 (pow (sqrt 2) 2)) into (* 5/48 (pow (sqrt 2) 2)) 3.484 * [backup-simplify]: Simplify (+ (* (* 5/48 (pow (sqrt 2) 2)) (pow x 4)) (+ (* (- (* 1/4 (pow (sqrt 2) 2))) (pow x 2)) (* 1/2 (pow (sqrt 2) 2)))) into (- (+ (* 1/2 (pow (sqrt 2) 2)) (* 5/48 (* (pow (sqrt 2) 2) (pow x 4)))) (* 1/4 (* (pow (sqrt 2) 2) (pow x 2)))) 3.486 * [backup-simplify]: Simplify (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp (/ 1 x))) (exp (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) 3.486 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) in (x) around 0 3.486 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) in x 3.486 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 3.486 * [taylor]: Taking taylor expansion of (sqrt 2) in x 3.486 * [taylor]: Taking taylor expansion of 2 in x 3.486 * [backup-simplify]: Simplify 2 into 2 3.486 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.487 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) in x 3.487 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.487 * [taylor]: Taking taylor expansion of x in x 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 1 into 1 3.488 * [backup-simplify]: Simplify (/ 1 1) into 1 3.488 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.488 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 3.488 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.488 * [taylor]: Taking taylor expansion of x in x 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 1 into 1 3.488 * [backup-simplify]: Simplify (/ 1 1) into 1 3.488 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.488 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) 3.490 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 3.490 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) into (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) 3.491 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) 3.491 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) in x 3.491 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 3.491 * [taylor]: Taking taylor expansion of (sqrt 2) in x 3.491 * [taylor]: Taking taylor expansion of 2 in x 3.491 * [backup-simplify]: Simplify 2 into 2 3.491 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.492 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) in x 3.492 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.492 * [taylor]: Taking taylor expansion of x in x 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (/ 1 1) into 1 3.493 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.493 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 3.493 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.493 * [taylor]: Taking taylor expansion of x in x 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (/ 1 1) into 1 3.493 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.493 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) 3.495 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 3.495 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) into (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) 3.496 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) 3.497 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) 3.498 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 3.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))))) into 0 3.498 * [backup-simplify]: Simplify (+ 0 0) into 0 3.499 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))))) into 0 3.500 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 3.502 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 3.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.503 * [backup-simplify]: Simplify (+ 0 0) into 0 3.504 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))))) into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.509 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 3.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.510 * [backup-simplify]: Simplify (+ 0 0) into 0 3.512 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))))) into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.515 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 3.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.516 * [backup-simplify]: Simplify (+ 0 0) into 0 3.518 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))))) into 0 3.518 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.522 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 3.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.523 * [backup-simplify]: Simplify (+ 0 0) into 0 3.525 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))))) into 0 3.525 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.528 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 3.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.529 * [backup-simplify]: Simplify (+ 0 0) into 0 3.531 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))))) into 0 3.531 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 (/ 1 x))) (/ 1 (exp (/ 1 (/ 1 x)))))) into (/ (pow (sqrt 2) 2) (+ (exp x) (/ 1 (exp x)))) 3.533 * [backup-simplify]: Simplify (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp (/ 1 (- x)))) (exp (/ 1 (- x)))))) into (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) 3.533 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) in (x) around 0 3.533 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) in x 3.533 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 3.533 * [taylor]: Taking taylor expansion of (sqrt 2) in x 3.533 * [taylor]: Taking taylor expansion of 2 in x 3.533 * [backup-simplify]: Simplify 2 into 2 3.533 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) in x 3.534 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 3.534 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.534 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.534 * [taylor]: Taking taylor expansion of -1 in x 3.534 * [backup-simplify]: Simplify -1 into -1 3.534 * [taylor]: Taking taylor expansion of x in x 3.534 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify 1 into 1 3.535 * [backup-simplify]: Simplify (/ -1 1) into -1 3.535 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.535 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) 3.535 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.535 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.535 * [taylor]: Taking taylor expansion of -1 in x 3.535 * [backup-simplify]: Simplify -1 into -1 3.535 * [taylor]: Taking taylor expansion of x in x 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify 1 into 1 3.535 * [backup-simplify]: Simplify (/ -1 1) into -1 3.536 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.537 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 3.537 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) into (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) 3.538 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) 3.538 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) in x 3.538 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 3.538 * [taylor]: Taking taylor expansion of (sqrt 2) in x 3.538 * [taylor]: Taking taylor expansion of 2 in x 3.538 * [backup-simplify]: Simplify 2 into 2 3.538 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) in x 3.539 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 3.539 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.539 * [taylor]: Taking taylor expansion of -1 in x 3.539 * [backup-simplify]: Simplify -1 into -1 3.539 * [taylor]: Taking taylor expansion of x in x 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 1 into 1 3.539 * [backup-simplify]: Simplify (/ -1 1) into -1 3.539 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.539 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) 3.539 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.539 * [taylor]: Taking taylor expansion of -1 in x 3.539 * [backup-simplify]: Simplify -1 into -1 3.539 * [taylor]: Taking taylor expansion of x in x 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 1 into 1 3.539 * [backup-simplify]: Simplify (/ -1 1) into -1 3.539 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.540 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 3.540 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) into (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) 3.541 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) 3.542 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) 3.542 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 3.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))))) into 0 3.542 * [backup-simplify]: Simplify (+ 0 0) into 0 3.543 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))))) into 0 3.543 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 3.545 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 3.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.545 * [backup-simplify]: Simplify (+ 0 0) into 0 3.546 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))))) into 0 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.547 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 3.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.548 * [backup-simplify]: Simplify (+ 0 0) into 0 3.549 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))))) into 0 3.549 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.550 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 3.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.551 * [backup-simplify]: Simplify (+ 0 0) into 0 3.552 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))))) into 0 3.552 * [backup-simplify]: Simplify 0 into 0 3.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.553 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 3.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.554 * [backup-simplify]: Simplify (+ 0 0) into 0 3.555 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))))) into 0 3.555 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.557 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 3.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.557 * [backup-simplify]: Simplify (+ 0 0) into 0 3.558 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))))) into 0 3.559 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (/ 1 (exp (/ -1 (/ 1 (- x))))) (exp (/ -1 (/ 1 (- x)))))) into (/ (pow (sqrt 2) 2) (+ (exp x) (/ 1 (exp x)))) 3.559 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 3.559 * [backup-simplify]: Simplify (/ 1 (exp x)) into (/ 1 (exp x)) 3.559 * [approximate]: Taking taylor expansion of (/ 1 (exp x)) in (x) around 0 3.559 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 3.559 * [taylor]: Taking taylor expansion of (exp x) in x 3.559 * [taylor]: Taking taylor expansion of x in x 3.559 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify 1 into 1 3.559 * [backup-simplify]: Simplify (exp 0) into 1 3.560 * [backup-simplify]: Simplify (/ 1 1) into 1 3.560 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 3.560 * [taylor]: Taking taylor expansion of (exp x) in x 3.560 * [taylor]: Taking taylor expansion of x in x 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 1 into 1 3.560 * [backup-simplify]: Simplify (exp 0) into 1 3.560 * [backup-simplify]: Simplify (/ 1 1) into 1 3.560 * [backup-simplify]: Simplify 1 into 1 3.561 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 3.561 * [backup-simplify]: Simplify -1 into -1 3.562 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 3.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 1)))) into 1/2 3.563 * [backup-simplify]: Simplify 1/2 into 1/2 3.563 * [backup-simplify]: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) 3.563 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) 3.563 * [approximate]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in (x) around 0 3.563 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 3.563 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.563 * [taylor]: Taking taylor expansion of x in x 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify 1 into 1 3.563 * [backup-simplify]: Simplify (/ 1 1) into 1 3.563 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.563 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) 3.563 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 3.563 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.564 * [taylor]: Taking taylor expansion of x in x 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 1 into 1 3.564 * [backup-simplify]: Simplify (/ 1 1) into 1 3.564 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.564 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) 3.564 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) 3.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))))) into 0 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.564 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 (/ 1 x)))) into (/ 1 (exp x)) 3.565 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 (- x)))) into (/ 1 (exp (/ -1 x))) 3.565 * [approximate]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in (x) around 0 3.565 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 3.565 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.566 * [taylor]: Taking taylor expansion of -1 in x 3.566 * [backup-simplify]: Simplify -1 into -1 3.566 * [taylor]: Taking taylor expansion of x in x 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 1 into 1 3.566 * [backup-simplify]: Simplify (/ -1 1) into -1 3.566 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.566 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) 3.566 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 3.566 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.566 * [taylor]: Taking taylor expansion of -1 in x 3.566 * [backup-simplify]: Simplify -1 into -1 3.566 * [taylor]: Taking taylor expansion of x in x 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (/ -1 1) into -1 3.567 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.567 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) 3.567 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) 3.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))))) into 0 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.567 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.568 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.568 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 (/ 1 (- x))))) into (/ 1 (exp x)) 3.569 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.570 * [backup-simplify]: Simplify (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))) into (/ (sqrt 2) (+ (exp x) (/ 1 (exp x)))) 3.570 * [approximate]: Taking taylor expansion of (/ (sqrt 2) (+ (exp x) (/ 1 (exp x)))) in (x) around 0 3.570 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (exp x) (/ 1 (exp x)))) in x 3.570 * [taylor]: Taking taylor expansion of (sqrt 2) in x 3.570 * [taylor]: Taking taylor expansion of 2 in x 3.570 * [backup-simplify]: Simplify 2 into 2 3.571 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.571 * [taylor]: Taking taylor expansion of (+ (exp x) (/ 1 (exp x))) in x 3.571 * [taylor]: Taking taylor expansion of (exp x) in x 3.571 * [taylor]: Taking taylor expansion of x in x 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 1 into 1 3.572 * [backup-simplify]: Simplify (exp 0) into 1 3.572 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 3.572 * [taylor]: Taking taylor expansion of (exp x) in x 3.572 * [taylor]: Taking taylor expansion of x in x 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [backup-simplify]: Simplify (exp 0) into 1 3.572 * [backup-simplify]: Simplify (/ 1 1) into 1 3.572 * [backup-simplify]: Simplify (+ 1 1) into 2 3.573 * [backup-simplify]: Simplify (/ (sqrt 2) 2) into (* 1/2 (sqrt 2)) 3.573 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (exp x) (/ 1 (exp x)))) in x 3.573 * [taylor]: Taking taylor expansion of (sqrt 2) in x 3.573 * [taylor]: Taking taylor expansion of 2 in x 3.573 * [backup-simplify]: Simplify 2 into 2 3.574 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.574 * [taylor]: Taking taylor expansion of (+ (exp x) (/ 1 (exp x))) in x 3.574 * [taylor]: Taking taylor expansion of (exp x) in x 3.574 * [taylor]: Taking taylor expansion of x in x 3.574 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (exp 0) into 1 3.575 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 3.575 * [taylor]: Taking taylor expansion of (exp x) in x 3.575 * [taylor]: Taking taylor expansion of x in x 3.575 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (exp 0) into 1 3.575 * [backup-simplify]: Simplify (/ 1 1) into 1 3.576 * [backup-simplify]: Simplify (+ 1 1) into 2 3.576 * [backup-simplify]: Simplify (/ (sqrt 2) 2) into (* 1/2 (sqrt 2)) 3.577 * [backup-simplify]: Simplify (* 1/2 (sqrt 2)) into (* 1/2 (sqrt 2)) 3.579 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.580 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 3.581 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.582 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (sqrt 2)) (/ 0 2)))) into 0 3.582 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 3.585 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 3.586 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 3.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 1)))) into 1/2 3.588 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.593 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (sqrt 2)) (/ 1 2)) (* 0 (/ 0 2)))) into (- (* 1/4 (sqrt 2))) 3.594 * [backup-simplify]: Simplify (- (* 1/4 (sqrt 2))) into (- (* 1/4 (sqrt 2))) 3.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.597 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 3.598 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 3.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/6 1)) (* -1 (/ 1/2 1)) (* 1/2 (/ 1 1)))) into -1/6 3.599 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 3.600 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (sqrt 2)) (/ 0 2)) (* 0 (/ 1 2)) (* (- (* 1/4 (sqrt 2))) (/ 0 2)))) into 0 3.600 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.603 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 3.606 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 3.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/24 1)) (* -1 (/ 1/6 1)) (* 1/2 (/ 1/2 1)) (* -1/6 (/ 1 1)))) into 1/24 3.607 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 3.614 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (sqrt 2)) (/ 1/12 2)) (* 0 (/ 0 2)) (* (- (* 1/4 (sqrt 2))) (/ 1 2)) (* 0 (/ 0 2)))) into (* 5/48 (sqrt 2)) 3.614 * [backup-simplify]: Simplify (* 5/48 (sqrt 2)) into (* 5/48 (sqrt 2)) 3.618 * [backup-simplify]: Simplify (+ (* (* 5/48 (sqrt 2)) (pow x 4)) (+ (* (- (* 1/4 (sqrt 2))) (pow x 2)) (* 1/2 (sqrt 2)))) into (- (+ (* 1/2 (sqrt 2)) (* 5/48 (* (sqrt 2) (pow x 4)))) (* 1/4 (* (sqrt 2) (pow x 2)))) 3.618 * [backup-simplify]: Simplify (/ (sqrt 2) (+ (/ 1 (exp (/ 1 x))) (exp (/ 1 x)))) into (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) 3.618 * [approximate]: Taking taylor expansion of (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) in (x) around 0 3.618 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) in x 3.618 * [taylor]: Taking taylor expansion of (sqrt 2) in x 3.618 * [taylor]: Taking taylor expansion of 2 in x 3.618 * [backup-simplify]: Simplify 2 into 2 3.619 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.619 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) in x 3.619 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.619 * [taylor]: Taking taylor expansion of x in x 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [backup-simplify]: Simplify (/ 1 1) into 1 3.619 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.619 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 3.619 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.620 * [taylor]: Taking taylor expansion of x in x 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 1 into 1 3.620 * [backup-simplify]: Simplify (/ 1 1) into 1 3.620 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.620 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) 3.620 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) into (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) 3.620 * [backup-simplify]: Simplify (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) into (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) 3.620 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) in x 3.620 * [taylor]: Taking taylor expansion of (sqrt 2) in x 3.620 * [taylor]: Taking taylor expansion of 2 in x 3.620 * [backup-simplify]: Simplify 2 into 2 3.621 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.621 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) in x 3.621 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.621 * [taylor]: Taking taylor expansion of x in x 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.621 * [backup-simplify]: Simplify (/ 1 1) into 1 3.621 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.621 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 3.621 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.622 * [taylor]: Taking taylor expansion of x in x 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 1 into 1 3.622 * [backup-simplify]: Simplify (/ 1 1) into 1 3.622 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.622 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) 3.622 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) into (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) 3.622 * [backup-simplify]: Simplify (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) into (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) 3.623 * [backup-simplify]: Simplify (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) into (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) 3.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))))) into 0 3.623 * [backup-simplify]: Simplify (+ 0 0) into 0 3.624 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (+ (* (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))))) into 0 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 3.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.625 * [backup-simplify]: Simplify (+ 0 0) into 0 3.625 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (+ (* (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))))) into 0 3.626 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.627 * [backup-simplify]: Simplify (+ 0 0) into 0 3.628 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (+ (* (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))))) into 0 3.628 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.631 * [backup-simplify]: Simplify (+ 0 0) into 0 3.632 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (+ (* (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))))) into 0 3.632 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.634 * [backup-simplify]: Simplify (+ 0 0) into 0 3.635 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (+ (* (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))))) into 0 3.635 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.638 * [backup-simplify]: Simplify (+ 0 0) into 0 3.640 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (+ (* (/ (sqrt 2) (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))))))) into 0 3.640 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify (/ (sqrt 2) (+ (exp (/ 1 (/ 1 x))) (/ 1 (exp (/ 1 (/ 1 x)))))) into (/ (sqrt 2) (+ (exp x) (/ 1 (exp x)))) 3.641 * [backup-simplify]: Simplify (/ (sqrt 2) (+ (/ 1 (exp (/ 1 (- x)))) (exp (/ 1 (- x))))) into (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) 3.641 * [approximate]: Taking taylor expansion of (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) in (x) around 0 3.641 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) in x 3.641 * [taylor]: Taking taylor expansion of (sqrt 2) in x 3.641 * [taylor]: Taking taylor expansion of 2 in x 3.641 * [backup-simplify]: Simplify 2 into 2 3.642 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) in x 3.643 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 3.643 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.643 * [taylor]: Taking taylor expansion of -1 in x 3.643 * [backup-simplify]: Simplify -1 into -1 3.643 * [taylor]: Taking taylor expansion of x in x 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify (/ -1 1) into -1 3.643 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.643 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) 3.643 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.643 * [taylor]: Taking taylor expansion of -1 in x 3.643 * [backup-simplify]: Simplify -1 into -1 3.643 * [taylor]: Taking taylor expansion of x in x 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify 1 into 1 3.644 * [backup-simplify]: Simplify (/ -1 1) into -1 3.644 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.644 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) into (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) 3.645 * [backup-simplify]: Simplify (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) into (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) 3.645 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) in x 3.645 * [taylor]: Taking taylor expansion of (sqrt 2) in x 3.645 * [taylor]: Taking taylor expansion of 2 in x 3.645 * [backup-simplify]: Simplify 2 into 2 3.645 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) in x 3.646 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 3.646 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.646 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.646 * [taylor]: Taking taylor expansion of -1 in x 3.646 * [backup-simplify]: Simplify -1 into -1 3.646 * [taylor]: Taking taylor expansion of x in x 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify 1 into 1 3.646 * [backup-simplify]: Simplify (/ -1 1) into -1 3.646 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.647 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) 3.647 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.647 * [taylor]: Taking taylor expansion of -1 in x 3.647 * [backup-simplify]: Simplify -1 into -1 3.647 * [taylor]: Taking taylor expansion of x in x 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [backup-simplify]: Simplify (/ -1 1) into -1 3.647 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.647 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) into (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) 3.648 * [backup-simplify]: Simplify (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) into (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) 3.648 * [backup-simplify]: Simplify (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) into (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) 3.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))))) into 0 3.649 * [backup-simplify]: Simplify (+ 0 0) into 0 3.650 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (+ (* (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))))) into 0 3.650 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 3.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.652 * [backup-simplify]: Simplify (+ 0 0) into 0 3.653 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (+ (* (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))))) into 0 3.653 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.655 * [backup-simplify]: Simplify (+ 0 0) into 0 3.656 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (+ (* (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))))) into 0 3.656 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.658 * [backup-simplify]: Simplify (+ 0 0) into 0 3.659 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (+ (* (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))))) into 0 3.659 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.662 * [backup-simplify]: Simplify (+ 0 0) into 0 3.663 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (+ (* (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))))) into 0 3.663 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 3.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.666 * [backup-simplify]: Simplify (+ 0 0) into 0 3.667 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (+ (* (/ (sqrt 2) (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x)))) (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))) (* 0 (/ 0 (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))))))) into 0 3.667 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify (/ (sqrt 2) (+ (/ 1 (exp (/ -1 (/ 1 (- x))))) (exp (/ -1 (/ 1 (- x)))))) into (/ (sqrt 2) (+ (exp x) (/ 1 (exp x)))) 3.668 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 3.668 * [backup-simplify]: Simplify (+ (/ 1 (exp x)) (exp x)) into (+ (exp x) (/ 1 (exp x))) 3.668 * [approximate]: Taking taylor expansion of (+ (exp x) (/ 1 (exp x))) in (x) around 0 3.668 * [taylor]: Taking taylor expansion of (+ (exp x) (/ 1 (exp x))) in x 3.668 * [taylor]: Taking taylor expansion of (exp x) in x 3.668 * [taylor]: Taking taylor expansion of x in x 3.668 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.669 * [backup-simplify]: Simplify (exp 0) into 1 3.669 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 3.669 * [taylor]: Taking taylor expansion of (exp x) in x 3.669 * [taylor]: Taking taylor expansion of x in x 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.669 * [backup-simplify]: Simplify (exp 0) into 1 3.669 * [backup-simplify]: Simplify (/ 1 1) into 1 3.669 * [taylor]: Taking taylor expansion of (+ (exp x) (/ 1 (exp x))) in x 3.669 * [taylor]: Taking taylor expansion of (exp x) in x 3.669 * [taylor]: Taking taylor expansion of x in x 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.669 * [backup-simplify]: Simplify (exp 0) into 1 3.669 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 3.669 * [taylor]: Taking taylor expansion of (exp x) in x 3.669 * [taylor]: Taking taylor expansion of x in x 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.669 * [backup-simplify]: Simplify (exp 0) into 1 3.670 * [backup-simplify]: Simplify (/ 1 1) into 1 3.670 * [backup-simplify]: Simplify (+ 1 1) into 2 3.670 * [backup-simplify]: Simplify 2 into 2 3.671 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.672 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 3.674 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.674 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 3.677 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 3.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 1)))) into 1/2 3.679 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.679 * [backup-simplify]: Simplify 1 into 1 3.681 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 3.684 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 3.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/6 1)) (* -1 (/ 1/2 1)) (* 1/2 (/ 1 1)))) into -1/6 3.686 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 3.695 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/24 1)) (* -1 (/ 1/6 1)) (* 1/2 (/ 1/2 1)) (* -1/6 (/ 1 1)))) into 1/24 3.698 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 3.699 * [backup-simplify]: Simplify 1/12 into 1/12 3.699 * [backup-simplify]: Simplify (+ (* 1/12 (pow x 4)) (+ (* 1 (pow x 2)) 2)) into (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 3.699 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ 1 x))) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) 3.699 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) in (x) around 0 3.699 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) in x 3.699 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.699 * [taylor]: Taking taylor expansion of x in x 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.700 * [backup-simplify]: Simplify (/ 1 1) into 1 3.700 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.700 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 3.700 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.700 * [taylor]: Taking taylor expansion of x in x 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (/ 1 1) into 1 3.701 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.701 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) 3.701 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) in x 3.701 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.701 * [taylor]: Taking taylor expansion of x in x 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (/ 1 1) into 1 3.701 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.701 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 3.701 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.701 * [taylor]: Taking taylor expansion of x in x 3.702 * [backup-simplify]: Simplify 0 into 0 3.702 * [backup-simplify]: Simplify 1 into 1 3.702 * [backup-simplify]: Simplify (/ 1 1) into 1 3.702 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.702 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) 3.702 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) into (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) 3.702 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) into (+ (exp (/ 1 x)) (/ 1 (exp (/ 1 x)))) 3.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))))) into 0 3.703 * [backup-simplify]: Simplify (+ 0 0) into 0 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.704 * [backup-simplify]: Simplify (+ 0 0) into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.705 * [backup-simplify]: Simplify (+ 0 0) into 0 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.705 * [backup-simplify]: Simplify (+ 0 0) into 0 3.705 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.706 * [backup-simplify]: Simplify (+ 0 0) into 0 3.706 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 3.707 * [backup-simplify]: Simplify (+ 0 0) into 0 3.707 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 x))) (/ 1 (exp (/ 1 (/ 1 x))))) into (+ (exp x) (/ 1 (exp x))) 3.708 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ 1 (- x)))) (exp (/ 1 (- x)))) into (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) 3.708 * [approximate]: Taking taylor expansion of (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) in (x) around 0 3.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) in x 3.708 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 3.708 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.708 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.708 * [taylor]: Taking taylor expansion of -1 in x 3.708 * [backup-simplify]: Simplify -1 into -1 3.708 * [taylor]: Taking taylor expansion of x in x 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 1 into 1 3.708 * [backup-simplify]: Simplify (/ -1 1) into -1 3.709 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.709 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) 3.709 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.709 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.709 * [taylor]: Taking taylor expansion of -1 in x 3.709 * [backup-simplify]: Simplify -1 into -1 3.709 * [taylor]: Taking taylor expansion of x in x 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 1 into 1 3.709 * [backup-simplify]: Simplify (/ -1 1) into -1 3.709 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) in x 3.709 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 3.709 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.709 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.710 * [taylor]: Taking taylor expansion of -1 in x 3.710 * [backup-simplify]: Simplify -1 into -1 3.710 * [taylor]: Taking taylor expansion of x in x 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (/ -1 1) into -1 3.710 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.710 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) 3.710 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.710 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.710 * [taylor]: Taking taylor expansion of -1 in x 3.710 * [backup-simplify]: Simplify -1 into -1 3.710 * [taylor]: Taking taylor expansion of x in x 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify (/ -1 1) into -1 3.711 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.711 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) into (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) 3.711 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) into (+ (/ 1 (exp (/ -1 x))) (exp (/ -1 x))) 3.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))))) into 0 3.712 * [backup-simplify]: Simplify (+ 0 0) into 0 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.713 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.713 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.714 * [backup-simplify]: Simplify (+ 0 0) into 0 3.714 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.715 * [backup-simplify]: Simplify (+ 0 0) into 0 3.715 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 3.716 * [backup-simplify]: Simplify (+ 0 0) into 0 3.716 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ -1 (/ 1 (- x))))) (exp (/ -1 (/ 1 (- x))))) into (+ (exp x) (/ 1 (exp x))) 3.716 * * * [progress]: simplifying candidates 3.716 * * * * [progress]: [ 1 / 197 ] simplifiying candidate # 3.716 * * * * [progress]: [ 2 / 197 ] simplifiying candidate # 3.716 * * * * [progress]: [ 3 / 197 ] simplifiying candidate # 3.717 * * * * [progress]: [ 4 / 197 ] simplifiying candidate # 3.717 * * * * [progress]: [ 5 / 197 ] simplifiying candidate # 3.717 * * * * [progress]: [ 6 / 197 ] simplifiying candidate # 3.717 * * * * [progress]: [ 7 / 197 ] simplifiying candidate # 3.717 * * * * [progress]: [ 8 / 197 ] simplifiying candidate # 3.717 * * * * [progress]: [ 9 / 197 ] simplifiying candidate # 3.717 * * * * [progress]: [ 10 / 197 ] simplifiying candidate # 3.717 * * * * [progress]: [ 11 / 197 ] simplifiying candidate # 3.717 * * * * [progress]: [ 12 / 197 ] simplifiying candidate # 3.717 * * * * [progress]: [ 13 / 197 ] simplifiying candidate # 3.717 * * * * [progress]: [ 14 / 197 ] simplifiying 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30 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 31 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 32 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 33 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 34 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 35 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 36 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 37 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 38 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 39 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 40 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 41 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 42 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 43 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 44 / 197 ] simplifiying candidate # 3.719 * * * * [progress]: [ 45 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 46 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 47 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 48 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 49 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 50 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 51 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 52 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 53 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 54 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 55 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 56 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 57 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 58 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 59 / 197 ] simplifiying candidate # 3.720 * * * * [progress]: [ 60 / 197 ] simplifiying candidate # 3.721 * * * * [progress]: [ 61 / 197 ] 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3.729 * * * * [progress]: [ 185 / 197 ] simplifiying candidate # 3.729 * * * * [progress]: [ 186 / 197 ] simplifiying candidate # 3.729 * * * * [progress]: [ 187 / 197 ] simplifiying candidate # 3.729 * * * * [progress]: [ 188 / 197 ] simplifiying candidate # 3.729 * * * * [progress]: [ 189 / 197 ] simplifiying candidate # 3.729 * * * * [progress]: [ 190 / 197 ] simplifiying candidate # 3.729 * * * * [progress]: [ 191 / 197 ] simplifiying candidate # 3.729 * * * * [progress]: [ 192 / 197 ] simplifiying candidate # 3.729 * * * * [progress]: [ 193 / 197 ] simplifiying candidate # 3.729 * * * * [progress]: [ 194 / 197 ] simplifiying candidate # 3.729 * * * * [progress]: [ 195 / 197 ] simplifiying candidate # 3.729 * * * * [progress]: [ 196 / 197 ] simplifiying candidate # 3.729 * * * * [progress]: [ 197 / 197 ] simplifiying candidate # 3.733 * [simplify]: Simplifying: (expm1 (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (log1p (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x)))) (+ (log (sqrt 2)) (- (log (sqrt 2)) (log (+ (/ 1 (exp x)) (exp x))))) (+ (log (sqrt 2)) (log (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (log (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (exp (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (+ (/ 1 (exp x)) (exp x)) (+ (/ 1 (exp x)) (exp x))) (+ (/ 1 (exp x)) (exp x))))) (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x)))) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (* (cbrt (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (cbrt (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x)))))) (cbrt (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (* (* (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x)))) (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (sqrt (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (sqrt (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (* (sqrt (sqrt 2)) (sqrt (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (* (sqrt (sqrt 2)) (sqrt (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (sqrt (+ (/ 1 (exp x)) (exp x))))) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (sqrt (+ (/ 1 (exp x)) (exp x))))) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (sqrt (+ (/ 1 (exp x)) (exp x))))) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (sqrt (+ (/ 1 (exp x)) (exp x))))) (* (sqrt (sqrt 2)) (sqrt (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (* (sqrt (sqrt 2)) (sqrt (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (sqrt (+ (/ 1 (exp x)) (exp x))))) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (sqrt (+ (/ 1 (exp x)) (exp x))))) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (sqrt (+ (/ 1 (exp x)) (exp x))))) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) (sqrt (+ (/ 1 (exp x)) (exp x))))) (* (sqrt 2) (* (cbrt (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x)))) (cbrt (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x)))))) (* (sqrt 2) (sqrt (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))))) (* (sqrt 2) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (+ (/ 1 (exp x)) (exp x))) (cbrt (+ (/ 1 (exp x)) (exp x)))))) (* (sqrt 2) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (+ (/ 1 (exp x)) (exp x))))) (* (sqrt 2) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (sqrt 2) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (sqrt 2) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (sqrt 2) (/ (sqrt (* (cbrt 2) (cbrt 2))) (* (cbrt (+ (/ 1 (exp x)) (exp x))) (cbrt (+ (/ 1 (exp x)) (exp x)))))) (* (sqrt 2) (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt (+ (/ 1 (exp x)) (exp x))))) (* (sqrt 2) (/ (sqrt (* (cbrt 2) (cbrt 2))) 1)) (* (sqrt 2) (/ (sqrt (* (cbrt 2) (cbrt 2))) 1)) (* (sqrt 2) (/ (sqrt (* (cbrt 2) (cbrt 2))) 1)) (* (sqrt 2) (/ (sqrt (sqrt 2)) (* (cbrt (+ (/ 1 (exp x)) (exp x))) (cbrt (+ (/ 1 (exp x)) (exp x)))))) (* (sqrt 2) (/ (sqrt (sqrt 2)) (sqrt (+ (/ 1 (exp x)) (exp x))))) (* (sqrt 2) (/ (sqrt (sqrt 2)) 1)) (* (sqrt 2) (/ (sqrt (sqrt 2)) 1)) (* (sqrt 2) (/ (sqrt (sqrt 2)) 1)) (* (sqrt 2) (/ (sqrt 1) (* (cbrt (+ (/ 1 (exp x)) (exp x))) (cbrt (+ (/ 1 (exp x)) (exp x)))))) (* (sqrt 2) (/ (sqrt 1) (sqrt (+ (/ 1 (exp x)) (exp x))))) (* (sqrt 2) (/ (sqrt 1) 1)) (* (sqrt 2) (/ (sqrt 1) 1)) (* (sqrt 2) (/ (sqrt 1) 1)) (* (sqrt 2) (/ (sqrt (sqrt 2)) (* (cbrt (+ (/ 1 (exp x)) (exp x))) (cbrt (+ (/ 1 (exp x)) (exp x)))))) (* (sqrt 2) (/ (sqrt (sqrt 2)) (sqrt (+ (/ 1 (exp x)) (exp x))))) (* (sqrt 2) (/ (sqrt (sqrt 2)) 1)) (* (sqrt 2) (/ (sqrt (sqrt 2)) 1)) (* (sqrt 2) (/ (sqrt (sqrt 2)) 1)) (* (sqrt 2) (/ 1 (* (cbrt (+ (/ 1 (exp x)) (exp x))) (cbrt (+ (/ 1 (exp x)) (exp x)))))) (* (sqrt 2) (/ 1 (sqrt (+ (/ 1 (exp x)) (exp x))))) (* (sqrt 2) (/ 1 1)) (* (sqrt 2) (/ 1 1)) (* (sqrt 2) (/ 1 1)) (* (sqrt 2) 1) (* (sqrt 2) (sqrt 2)) (* (sqrt 2) (/ (sqrt 2) (+ (pow (/ 1 (exp x)) 3) (pow (exp x) 3)))) (* (sqrt 2) (/ (sqrt 2) (- (* (/ 1 (exp x)) (/ 1 (exp x))) (* (exp x) (exp x))))) (* (cbrt (sqrt 2)) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x)))) (* (sqrt (cbrt 2)) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x)))) (* (sqrt (sqrt 2)) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x)))) (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x)))) (* (sqrt (sqrt 2)) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x)))) (* (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x)))) (* (sqrt 2) (sqrt 2)) (expm1 (/ 1 (exp x))) (log1p (/ 1 (exp x))) (- 1) (- (cbrt x)) (- (sqrt x)) (- x) (- x) (- 0 x) (- (log 1) x) (log (/ 1 (exp x))) (exp (/ 1 (exp x))) (/ (* (* 1 1) 1) (* (* (exp x) (exp x)) (exp x))) (* (cbrt (/ 1 (exp x))) (cbrt (/ 1 (exp x)))) (cbrt (/ 1 (exp x))) (* (* (/ 1 (exp x)) (/ 1 (exp x))) (/ 1 (exp x))) (sqrt (/ 1 (exp x))) (sqrt (/ 1 (exp x))) (- 1) (- (exp x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (cbrt 1) (cbrt (exp x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (exp x))) (/ (cbrt 1) (sqrt (exp x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (exp x)) (/ (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (sqrt 1) 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(exp x) (exp x)) (* (/ 1 (exp x)) (exp x)))) (- (* (/ 1 (exp x)) (/ 1 (exp x))) (* (exp x) (exp x))) (- (/ 1 (exp x)) (exp x)) (+ (/ 1 (exp x)) (exp x)) (+ (/ 1 (exp x)) (exp x)) (- (+ (* 1/2 (pow (sqrt 2) 2)) (* 5/48 (* (pow (sqrt 2) 2) (pow x 4)))) (* 1/4 (* (pow (sqrt 2) 2) (pow x 2)))) (/ (pow (sqrt 2) 2) (+ (exp x) (/ 1 (exp x)))) (/ (pow (sqrt 2) 2) (+ (exp x) (/ 1 (exp x)))) (- (+ (* 1/2 (pow x 2)) 1) x) (/ 1 (exp x)) (/ 1 (exp x)) (- (+ (* 1/2 (sqrt 2)) (* 5/48 (* (sqrt 2) (pow x 4)))) (* 1/4 (* (sqrt 2) (pow x 2)))) (/ (sqrt 2) (+ (exp x) (/ 1 (exp x)))) (/ (sqrt 2) (+ (exp x) (/ 1 (exp x)))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))) 3.737 * * [simplify]: iteration 1: (202 enodes) 3.923 * * [simplify]: iteration 2: (464 enodes) 4.450 * * [simplify]: iteration 3: (1375 enodes) 6.708 * * [simplify]: Extracting #0: cost 107 inf + 0 6.710 * * [simplify]: Extracting #1: cost 539 inf + 3 6.717 * * [simplify]: Extracting #2: cost 830 inf + 3683 6.732 * * [simplify]: Extracting #3: cost 590 inf + 35425 6.780 * * [simplify]: Extracting #4: cost 211 inf + 160200 6.856 * * [simplify]: Extracting #5: cost 17 inf + 236101 6.913 * * [simplify]: Extracting #6: cost 2 inf + 242551 6.981 * * [simplify]: Extracting #7: cost 0 inf + 243555 7.058 * [simplify]: Simplified to: (expm1 (/ 2 (+ (exp x) (exp (- x))))) (log1p (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x)))) (log (/ 2 (+ (exp x) (exp (- x))))) (log (/ 2 (+ (exp x) (exp (- x))))) (log (/ 2 (+ (exp x) (exp (- x))))) (exp (/ 2 (+ (exp x) (exp (- x))))) (* (/ 2 (+ (exp x) (exp (- x)))) (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))) (* (/ 2 (+ (exp x) (exp (- x)))) (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))) (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))) (* (/ 2 (+ (exp x) (exp (- x)))) (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))) (sqrt 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x) (exp (- x))) 7.076 * * * [progress]: adding candidates to table 8.998 * [progress]: [Phase 3 of 3] Extracting. 8.998 * * [regime]: Finding splitpoints for: (# #) 8.998 * * * [regime-changes]: Trying 3 branch expressions: ((+ (exp x) (exp (- x))) (/ 2 (+ (exp x) (exp (- x)))) x) 8.998 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# #) 9.035 * * * * [regimes]: Trying to branch on (/ 2 (+ (exp x) (exp (- x)))) from (# #) 9.062 * * * * [regimes]: Trying to branch on x from (# #) 9.088 * * * [regime]: Found split indices: #