75.736 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.020 * [simplify]: Simplifying: (/ 2 (+ (exp x) (exp (- x)))) 0.021 * * [simplify]: iteration 1: (7 enodes) 0.022 * * [simplify]: iteration 2: (10 enodes) 0.023 * * [simplify]: Extracting #0: cost 1 inf + 0 0.023 * * [simplify]: Extracting #1: cost 3 inf + 0 0.023 * * [simplify]: Extracting #2: cost 4 inf + 1 0.023 * * [simplify]: Extracting #3: cost 7 inf + 1 0.023 * * [simplify]: Extracting #4: cost 0 inf + 709 0.023 * [simplify]: Simplified to: (/ 2 (+ (exp x) (exp (- x)))) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.062 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.095 * * * [progress]: generating series expansions 0.095 * * * * [progress]: [ 1 / 1 ] 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 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [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 * [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 0.098 * [backup-simplify]: Simplify 2 into 2 0.098 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.098 * [taylor]: Taking taylor expansion of (exp x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (exp 0) into 1 0.098 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.098 * [taylor]: Taking taylor expansion of (- x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (- 1) into -1 0.099 * [backup-simplify]: Simplify (exp 0) into 1 0.099 * [backup-simplify]: Simplify (+ 1 1) into 2 0.100 * [backup-simplify]: Simplify (/ 2 2) into 1 0.100 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.101 * [backup-simplify]: Simplify (- 1) into -1 0.102 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.102 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.103 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.105 * [backup-simplify]: Simplify (- 1) into -1 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.108 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.109 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 0.109 * [backup-simplify]: Simplify -1/2 into -1/2 0.112 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.113 * [backup-simplify]: Simplify (- 1) into -1 0.113 * [backup-simplify]: Simplify (- 1) into -1 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.117 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.123 * [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 0.123 * [backup-simplify]: Simplify (- 1) into -1 0.124 * [backup-simplify]: Simplify (- 1) into -1 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (- 1) into -1 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [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 0.130 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.132 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 0.132 * [backup-simplify]: Simplify 5/24 into 5/24 0.133 * [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))) 0.133 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.134 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.134 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.134 * [taylor]: Taking taylor expansion of 2 in x 0.134 * [backup-simplify]: Simplify 2 into 2 0.134 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.134 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.134 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [backup-simplify]: Simplify (- 1) into -1 0.135 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.136 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.136 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.136 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.136 * [taylor]: Taking taylor expansion of 2 in x 0.136 * [backup-simplify]: Simplify 2 into 2 0.136 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.136 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.136 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.136 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify (- 1) into -1 0.137 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.138 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.138 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.138 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 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)))))))) 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)))))))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [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 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [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 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [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 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [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 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2 (+ (exp x) (exp (- x)))) 0.145 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.145 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.145 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.146 * [taylor]: Taking taylor expansion of 2 in x 0.146 * [backup-simplify]: Simplify 2 into 2 0.146 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.146 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.146 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [backup-simplify]: Simplify -1 into -1 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ -1 1) into -1 0.147 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.147 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.147 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.147 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.147 * [taylor]: Taking taylor expansion of 2 in x 0.147 * [backup-simplify]: Simplify 2 into 2 0.147 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.147 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.148 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.148 * [taylor]: Taking taylor expansion of -1 in x 0.148 * [backup-simplify]: Simplify -1 into -1 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ -1 1) into -1 0.148 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.149 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.149 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.149 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [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 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [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 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [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 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [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 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [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 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [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 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x))) 0.153 * * * [progress]: simplifying candidates 0.153 * * * * [progress]: [ 1 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 2 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 3 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 4 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 5 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 6 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 7 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 8 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 9 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 10 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 11 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 12 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 13 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 14 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 15 / 37 ] simplifiying candidate # 0.153 * * * * [progress]: [ 16 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 17 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 18 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 19 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 20 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 21 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 22 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 23 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 24 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 25 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 26 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 27 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 28 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 29 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 30 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 31 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 32 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 33 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 34 / 37 ] simplifiying candidate #real (real->posit16 (/ 2 (+ (exp x) (exp (- x)))))))> 0.154 * * * * [progress]: [ 35 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 36 / 37 ] simplifiying candidate # 0.154 * * * * [progress]: [ 37 / 37 ] simplifiying candidate # 0.155 * [simplify]: Simplifying: (- (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))))) (real->posit16 (/ 2 (+ (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))) 0.155 * * [simplify]: iteration 1: (77 enodes) 0.185 * * [simplify]: iteration 2: (166 enodes) 0.244 * * [simplify]: iteration 3: (418 enodes) 0.772 * * [simplify]: iteration 4: (951 enodes) 1.673 * * [simplify]: Extracting #0: cost 36 inf + 0 1.673 * * [simplify]: Extracting #1: cost 213 inf + 3 1.675 * * [simplify]: Extracting #2: cost 434 inf + 2391 1.677 * * [simplify]: Extracting #3: cost 518 inf + 9816 1.687 * * [simplify]: Extracting #4: cost 264 inf + 83138 1.722 * * [simplify]: Extracting #5: cost 38 inf + 166316 1.779 * * [simplify]: Extracting #6: cost 3 inf + 178706 1.807 * * [simplify]: Extracting #7: cost 0 inf + 180009 1.836 * [simplify]: Simplified to: (log (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (log (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (exp (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (/ (/ 8 (/ (+ (* (exp x) (exp x)) 1) (exp x))) (* (/ (+ (* (exp x) (exp x)) 1) (exp x)) (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (* (cbrt (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (cbrt (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x))))) (cbrt (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (/ (/ 8 (/ (+ (* (exp x) (exp x)) 1) (exp x))) (* (/ (+ (* (exp x) (exp x)) 1) (exp x)) (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (sqrt (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (sqrt (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x)))) -2 (- (/ -1 (exp x)) (exp x)) (* (/ (cbrt 2) (cbrt (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (/ (cbrt 2) (cbrt (/ (+ (* (exp x) (exp x)) 1) (exp x))))) (/ (cbrt 2) (cbrt (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (* (cbrt 2) (/ (cbrt 2) (sqrt (/ (+ (* (exp x) (exp x)) 1) (exp x))))) (/ (cbrt 2) (sqrt (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (* (cbrt 2) (cbrt 2)) (/ (cbrt 2) (/ (+ (* (exp x) (exp x)) 1) (exp x))) (* (cbrt 2) (cbrt 2)) (/ (cbrt 2) (/ (+ (* (exp x) (exp x)) 1) (exp x))) (/ (/ (sqrt 2) (cbrt (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (cbrt (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (/ (sqrt 2) (cbrt (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (/ (sqrt 2) (sqrt (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (/ (sqrt 2) (sqrt (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (sqrt 2) (/ (sqrt 2) (/ (+ (* (exp x) (exp x)) 1) (exp x))) (sqrt 2) (/ (sqrt 2) (/ (+ (* (exp x) (exp x)) 1) (exp x))) (/ 1 (* (cbrt (/ (+ (* (exp x) (exp x)) 1) (exp x))) (cbrt (/ (+ (* (exp x) (exp x)) 1) (exp x))))) (/ 2 (cbrt (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (/ 1 (sqrt (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (/ 2 (sqrt (/ (+ (* (exp x) (exp x)) 1) (exp x)))) 1 (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x))) 1 (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x))) (/ 1 (/ (+ (* (exp x) (exp x)) 1) (exp x))) (/ (/ (+ (* (exp x) (exp x)) 1) (exp x)) 2) (/ (/ 2 (cbrt (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (cbrt (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (/ 2 (sqrt (/ (+ (* (exp x) (exp x)) 1) (exp x)))) 2 2 (/ (/ (+ (* (exp x) (exp x)) 1) (exp x)) (cbrt 2)) (/ (/ (+ (* (exp x) (exp x)) 1) (exp x)) (sqrt 2)) (/ (/ (+ (* (exp x) (exp x)) 1) (exp x)) 2) (/ 2 (+ (exp (- (* 3 x))) (exp (* 3 x)))) (/ 2 (+ (* (exp x) (exp x)) (/ -1 (* (exp x) (exp x))))) (real->posit16 (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x)))) (+ 1 (* (* x x) (- (* 5/24 (* x x)) 1/2))) (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x))) (/ 2 (+ (exp x) (exp (- x)))) 1.838 * * * [progress]: adding candidates to table 2.092 * * [progress]: iteration 2 / 4 2.092 * * * [progress]: picking best candidate 2.101 * * * * [pick]: Picked # 2.101 * * * [progress]: localizing error 2.120 * * * [progress]: generating rewritten candidates 2.120 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.143 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.164 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.276 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.308 * * * [progress]: generating series expansions 2.309 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.310 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 2.310 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 2.310 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 2.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 2.310 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 2.310 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.310 * [taylor]: Taking taylor expansion of (exp x) in x 2.310 * [taylor]: Taking taylor expansion of x in x 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify 1 into 1 2.310 * [backup-simplify]: Simplify (exp 0) into 1 2.310 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.310 * [taylor]: Taking taylor expansion of (- x) in x 2.310 * [taylor]: Taking taylor expansion of x in x 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify 1 into 1 2.310 * [backup-simplify]: Simplify (- 0) into 0 2.311 * [backup-simplify]: Simplify (- 1) into -1 2.311 * [backup-simplify]: Simplify (exp 0) into 1 2.311 * [backup-simplify]: Simplify (+ 1 1) into 2 2.311 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.312 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.313 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.314 * [backup-simplify]: Simplify (- 1) into -1 2.315 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 2.315 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.316 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 2.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.317 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.317 * [taylor]: Taking taylor expansion of 2 in x 2.317 * [backup-simplify]: Simplify 2 into 2 2.317 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.318 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 2.318 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 2.318 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 2.318 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.318 * [taylor]: Taking taylor expansion of (exp x) in x 2.318 * [taylor]: Taking taylor expansion of x in x 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (exp 0) into 1 2.318 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.318 * [taylor]: Taking taylor expansion of (- x) in x 2.318 * [taylor]: Taking taylor expansion of x in x 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.319 * [backup-simplify]: Simplify (- 0) into 0 2.319 * [backup-simplify]: Simplify (- 1) into -1 2.319 * [backup-simplify]: Simplify (exp 0) into 1 2.320 * [backup-simplify]: Simplify (+ 1 1) into 2 2.320 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.320 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.321 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.322 * [backup-simplify]: Simplify (- 1) into -1 2.323 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 2.323 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.324 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 2.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.325 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.325 * [taylor]: Taking taylor expansion of 2 in x 2.325 * [backup-simplify]: Simplify 2 into 2 2.325 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.327 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 2.328 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 2.330 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.333 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.333 * [backup-simplify]: Simplify (- 1) into -1 2.334 * [backup-simplify]: Simplify (- 0) into 0 2.335 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.336 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 2.337 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 2.340 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 2.345 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 2.348 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 2.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.352 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 2.352 * [backup-simplify]: Simplify (- 1) into -1 2.353 * [backup-simplify]: Simplify (- 1) into -1 2.353 * [backup-simplify]: Simplify (- 0) into 0 2.353 * [backup-simplify]: Simplify (- 0) into 0 2.356 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 2.356 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 2.358 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 2.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 2.361 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 2.361 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.367 * [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 2.368 * [backup-simplify]: Simplify (- 1) into -1 2.368 * [backup-simplify]: Simplify (- 1) into -1 2.368 * [backup-simplify]: Simplify (- 0) into 0 2.369 * [backup-simplify]: Simplify (- 1) into -1 2.369 * [backup-simplify]: Simplify (- 0) into 0 2.370 * [backup-simplify]: Simplify (- 0) into 0 2.370 * [backup-simplify]: Simplify (- 0) into 0 2.374 * [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 2.375 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 2.377 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 2.383 * [backup-simplify]: Simplify (/ (- 5/48 (pow (/ -1/8 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 2.409 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (sqrt 2)))))) into (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) 2.416 * [backup-simplify]: Simplify (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) into (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) 2.434 * [backup-simplify]: Simplify (+ (* (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) (pow x 2)) (* (sqrt 2) (sqrt 1/2)))) into (- (+ (* (sqrt 2) (sqrt 1/2)) (* 5/96 (/ (* (sqrt 2) (pow x 4)) (sqrt 1/2)))) (+ (* 1/128 (/ (* (sqrt 2) (pow x 4)) (pow (sqrt 1/2) 3))) (* 1/8 (/ (* (sqrt 2) (pow x 2)) (sqrt 1/2))))) 2.435 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 2.435 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 2.435 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 2.435 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.435 * [taylor]: Taking taylor expansion of 2 in x 2.435 * [backup-simplify]: Simplify 2 into 2 2.435 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 2.436 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.436 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.436 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.436 * [taylor]: Taking taylor expansion of x in x 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (/ 1 1) into 1 2.437 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.437 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.437 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.437 * [taylor]: Taking taylor expansion of x in x 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (/ 1 1) into 1 2.438 * [backup-simplify]: Simplify (- 1) into -1 2.438 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 2.438 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.438 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.438 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 2.439 * [backup-simplify]: Simplify (+ 0 0) into 0 2.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.440 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 2.440 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.440 * [taylor]: Taking taylor expansion of 2 in x 2.440 * [backup-simplify]: Simplify 2 into 2 2.440 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 2.441 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.441 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.441 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.441 * [taylor]: Taking taylor expansion of x in x 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 1 into 1 2.442 * [backup-simplify]: Simplify (/ 1 1) into 1 2.442 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.442 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.442 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.442 * [taylor]: Taking taylor expansion of x in x 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 1 into 1 2.443 * [backup-simplify]: Simplify (/ 1 1) into 1 2.443 * [backup-simplify]: Simplify (- 1) into -1 2.443 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 2.443 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.443 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.444 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 2.444 * [backup-simplify]: Simplify (+ 0 0) into 0 2.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.445 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 2.446 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 2.446 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify (+ 0 0) into 0 2.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.448 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.449 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.450 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify (+ 0 0) into 0 2.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.453 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify (+ 0 0) into 0 2.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.454 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.455 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.456 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify (+ 0 0) into 0 2.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.459 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))))) into 0 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify (+ 0 0) into 0 2.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.461 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.463 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))))) into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 2.464 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 2.464 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 2.464 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 2.464 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.464 * [taylor]: Taking taylor expansion of 2 in x 2.464 * [backup-simplify]: Simplify 2 into 2 2.464 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 2.465 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.465 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.465 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.465 * [taylor]: Taking taylor expansion of x in x 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.465 * [backup-simplify]: Simplify (/ 1 1) into 1 2.465 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.465 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.465 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.465 * [taylor]: Taking taylor expansion of -1 in x 2.465 * [backup-simplify]: Simplify -1 into -1 2.465 * [taylor]: Taking taylor expansion of x in x 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.465 * [backup-simplify]: Simplify (/ -1 1) into -1 2.465 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.465 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.466 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.466 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 2.466 * [backup-simplify]: Simplify (+ 0 0) into 0 2.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.466 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 2.466 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.466 * [taylor]: Taking taylor expansion of 2 in x 2.466 * [backup-simplify]: Simplify 2 into 2 2.466 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 2.467 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.467 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.467 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.467 * [taylor]: Taking taylor expansion of x in x 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 1 into 1 2.467 * [backup-simplify]: Simplify (/ 1 1) into 1 2.467 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.467 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.467 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.467 * [taylor]: Taking taylor expansion of -1 in x 2.467 * [backup-simplify]: Simplify -1 into -1 2.467 * [taylor]: Taking taylor expansion of x in x 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 1 into 1 2.468 * [backup-simplify]: Simplify (/ -1 1) into -1 2.468 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.468 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.468 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.468 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 2.468 * [backup-simplify]: Simplify (+ 0 0) into 0 2.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.469 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 2.469 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 2.470 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify (+ 0 0) into 0 2.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.472 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (+ 0 0) into 0 2.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.474 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify (+ 0 0) into 0 2.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.476 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.476 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.477 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify (+ 0 0) into 0 2.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.481 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))))) into 0 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (+ 0 0) into 0 2.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.483 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.484 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))))) into 0 2.484 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) 2.485 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.485 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 2.485 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 2.485 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 2.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 2.485 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 2.485 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.485 * [taylor]: Taking taylor expansion of (exp x) in x 2.485 * [taylor]: Taking taylor expansion of x in x 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 1 into 1 2.486 * [backup-simplify]: Simplify (exp 0) into 1 2.486 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.486 * [taylor]: Taking taylor expansion of (- x) in x 2.486 * [taylor]: Taking taylor expansion of x in x 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 1 into 1 2.486 * [backup-simplify]: Simplify (- 0) into 0 2.486 * [backup-simplify]: Simplify (- 1) into -1 2.486 * [backup-simplify]: Simplify (exp 0) into 1 2.486 * [backup-simplify]: Simplify (+ 1 1) into 2 2.487 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.487 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.487 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.488 * [backup-simplify]: Simplify (- 1) into -1 2.488 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 2.489 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.489 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 2.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.489 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.489 * [taylor]: Taking taylor expansion of 2 in x 2.489 * [backup-simplify]: Simplify 2 into 2 2.490 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.490 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 2.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 2.490 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 2.490 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.490 * [taylor]: Taking taylor expansion of (exp x) in x 2.490 * [taylor]: Taking taylor expansion of x in x 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify 1 into 1 2.490 * [backup-simplify]: Simplify (exp 0) into 1 2.490 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.490 * [taylor]: Taking taylor expansion of (- x) in x 2.490 * [taylor]: Taking taylor expansion of x in x 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify 1 into 1 2.491 * [backup-simplify]: Simplify (- 0) into 0 2.491 * [backup-simplify]: Simplify (- 1) into -1 2.491 * [backup-simplify]: Simplify (exp 0) into 1 2.491 * [backup-simplify]: Simplify (+ 1 1) into 2 2.491 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.492 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.492 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.492 * [backup-simplify]: Simplify (- 1) into -1 2.493 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 2.493 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.494 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 2.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.495 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.495 * [taylor]: Taking taylor expansion of 2 in x 2.495 * [backup-simplify]: Simplify 2 into 2 2.495 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.496 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 2.497 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 2.498 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.499 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.499 * [backup-simplify]: Simplify (- 1) into -1 2.500 * [backup-simplify]: Simplify (- 0) into 0 2.501 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.501 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 2.501 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 2.503 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 2.506 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 2.508 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 2.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.510 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 2.510 * [backup-simplify]: Simplify (- 1) into -1 2.511 * [backup-simplify]: Simplify (- 1) into -1 2.511 * [backup-simplify]: Simplify (- 0) into 0 2.511 * [backup-simplify]: Simplify (- 0) into 0 2.512 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 2.513 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 2.514 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 2.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 2.516 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.519 * [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 2.519 * [backup-simplify]: Simplify (- 1) into -1 2.519 * [backup-simplify]: Simplify (- 1) into -1 2.519 * [backup-simplify]: Simplify (- 0) into 0 2.520 * [backup-simplify]: Simplify (- 1) into -1 2.520 * [backup-simplify]: Simplify (- 0) into 0 2.520 * [backup-simplify]: Simplify (- 0) into 0 2.522 * [backup-simplify]: Simplify (- 0) into 0 2.525 * [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 2.525 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 2.526 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 2.530 * [backup-simplify]: Simplify (/ (- 5/48 (pow (/ -1/8 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 2.546 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (sqrt 2)))))) into (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) 2.553 * [backup-simplify]: Simplify (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) into (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) 2.565 * [backup-simplify]: Simplify (+ (* (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) (pow x 2)) (* (sqrt 2) (sqrt 1/2)))) into (- (+ (* (sqrt 2) (sqrt 1/2)) (* 5/96 (/ (* (sqrt 2) (pow x 4)) (sqrt 1/2)))) (+ (* 1/128 (/ (* (sqrt 2) (pow x 4)) (pow (sqrt 1/2) 3))) (* 1/8 (/ (* (sqrt 2) (pow x 2)) (sqrt 1/2))))) 2.565 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 2.565 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 2.565 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 2.565 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.565 * [taylor]: Taking taylor expansion of 2 in x 2.565 * [backup-simplify]: Simplify 2 into 2 2.566 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.566 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 2.566 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.566 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.566 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.567 * [taylor]: Taking taylor expansion of x in x 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (/ 1 1) into 1 2.567 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.567 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.567 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.567 * [taylor]: Taking taylor expansion of x in x 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (/ 1 1) into 1 2.568 * [backup-simplify]: Simplify (- 1) into -1 2.568 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 2.568 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.568 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.568 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 2.569 * [backup-simplify]: Simplify (+ 0 0) into 0 2.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.569 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 2.569 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.569 * [taylor]: Taking taylor expansion of 2 in x 2.569 * [backup-simplify]: Simplify 2 into 2 2.570 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.570 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 2.570 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.570 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.570 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.570 * [taylor]: Taking taylor expansion of x in x 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 1 into 1 2.571 * [backup-simplify]: Simplify (/ 1 1) into 1 2.571 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.571 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.571 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.571 * [taylor]: Taking taylor expansion of x in x 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify 1 into 1 2.572 * [backup-simplify]: Simplify (/ 1 1) into 1 2.572 * [backup-simplify]: Simplify (- 1) into -1 2.572 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 2.572 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.572 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.573 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 2.573 * [backup-simplify]: Simplify (+ 0 0) into 0 2.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.574 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 2.575 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 2.575 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.575 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (+ 0 0) into 0 2.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.577 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.579 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify (+ 0 0) into 0 2.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.584 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify (+ 0 0) into 0 2.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.587 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.590 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify (+ 0 0) into 0 2.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.596 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))))) into 0 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify (+ 0 0) into 0 2.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.599 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.600 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.603 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))))) into 0 2.603 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 2.605 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 2.605 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 2.605 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 2.605 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.605 * [taylor]: Taking taylor expansion of 2 in x 2.605 * [backup-simplify]: Simplify 2 into 2 2.605 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.606 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 2.606 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.606 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.606 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.606 * [taylor]: Taking taylor expansion of x in x 2.606 * [backup-simplify]: Simplify 0 into 0 2.606 * [backup-simplify]: Simplify 1 into 1 2.607 * [backup-simplify]: Simplify (/ 1 1) into 1 2.607 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.607 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.607 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.607 * [taylor]: Taking taylor expansion of -1 in x 2.607 * [backup-simplify]: Simplify -1 into -1 2.607 * [taylor]: Taking taylor expansion of x in x 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 1 into 1 2.607 * [backup-simplify]: Simplify (/ -1 1) into -1 2.607 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.607 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.608 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.608 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 2.608 * [backup-simplify]: Simplify (+ 0 0) into 0 2.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.609 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 2.609 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.609 * [taylor]: Taking taylor expansion of 2 in x 2.609 * [backup-simplify]: Simplify 2 into 2 2.609 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 2.610 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.610 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.610 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.610 * [backup-simplify]: Simplify (/ 1 1) into 1 2.610 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.610 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.611 * [taylor]: Taking taylor expansion of -1 in x 2.611 * [backup-simplify]: Simplify -1 into -1 2.611 * [taylor]: Taking taylor expansion of x in x 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify (/ -1 1) into -1 2.611 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.611 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.611 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.611 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 2.612 * [backup-simplify]: Simplify (+ 0 0) into 0 2.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.613 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 2.613 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 2.614 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify (+ 0 0) into 0 2.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.616 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.618 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify (+ 0 0) into 0 2.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.622 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (+ 0 0) into 0 2.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.624 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.626 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.627 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 2.627 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify (+ 0 0) into 0 2.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.632 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))))) into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify (+ 0 0) into 0 2.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 2.635 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.637 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.640 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))))) into 0 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) 2.641 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.642 * [backup-simplify]: Simplify (* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) into (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) 2.642 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in (x) around 0 2.642 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in x 2.642 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.642 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.642 * [taylor]: Taking taylor expansion of 2 in x 2.642 * [backup-simplify]: Simplify 2 into 2 2.642 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.643 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.643 * [taylor]: Taking taylor expansion of (exp x) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (exp 0) into 1 2.643 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.643 * [taylor]: Taking taylor expansion of (- x) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (- 0) into 0 2.644 * [backup-simplify]: Simplify (- 1) into -1 2.644 * [backup-simplify]: Simplify (exp 0) into 1 2.646 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 2.646 * [backup-simplify]: Simplify (+ 1 1) into 2 2.647 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 2) into (* 1/2 (pow (sqrt 2) 2)) 2.648 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in x 2.648 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.648 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.648 * [taylor]: Taking taylor expansion of 2 in x 2.648 * [backup-simplify]: Simplify 2 into 2 2.648 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.651 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.651 * [taylor]: Taking taylor expansion of (exp x) in x 2.651 * [taylor]: Taking taylor expansion of x in x 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 1 into 1 2.651 * [backup-simplify]: Simplify (exp 0) into 1 2.651 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.651 * [taylor]: Taking taylor expansion of (- x) in x 2.651 * [taylor]: Taking taylor expansion of x in x 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 1 into 1 2.651 * [backup-simplify]: Simplify (- 0) into 0 2.652 * [backup-simplify]: Simplify (- 1) into -1 2.652 * [backup-simplify]: Simplify (exp 0) into 1 2.653 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 2.653 * [backup-simplify]: Simplify (+ 1 1) into 2 2.655 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 2) into (* 1/2 (pow (sqrt 2) 2)) 2.656 * [backup-simplify]: Simplify (* 1/2 (pow (sqrt 2) 2)) into (* 1/2 (pow (sqrt 2) 2)) 2.657 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 2.658 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.659 * [backup-simplify]: Simplify (- 1) into -1 2.660 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 2.660 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.661 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 0 2)))) into 0 2.661 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.663 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 2.665 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.665 * [backup-simplify]: Simplify (- 1) into -1 2.666 * [backup-simplify]: Simplify (- 0) into 0 2.667 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.668 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 2.675 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 1 2)) (* 0 (/ 0 2)))) into (- (* 1/4 (pow (sqrt 2) 2))) 2.677 * [backup-simplify]: Simplify (- (* 1/4 (pow (sqrt 2) 2))) into (- (* 1/4 (pow (sqrt 2) 2))) 2.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.679 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 2.681 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 2.682 * [backup-simplify]: Simplify (- 1) into -1 2.682 * [backup-simplify]: Simplify (- 1) into -1 2.682 * [backup-simplify]: Simplify (- 0) into 0 2.683 * [backup-simplify]: Simplify (- 0) into 0 2.685 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 2.686 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 2.688 * [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 2.688 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.691 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 2.695 * [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 2.696 * [backup-simplify]: Simplify (- 1) into -1 2.697 * [backup-simplify]: Simplify (- 1) into -1 2.697 * [backup-simplify]: Simplify (- 0) into 0 2.698 * [backup-simplify]: Simplify (- 1) into -1 2.698 * [backup-simplify]: Simplify (- 0) into 0 2.698 * [backup-simplify]: Simplify (- 0) into 0 2.699 * [backup-simplify]: Simplify (- 0) into 0 2.703 * [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 2.703 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 2.716 * [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)) 2.718 * [backup-simplify]: Simplify (* 5/48 (pow (sqrt 2) 2)) into (* 5/48 (pow (sqrt 2) 2)) 2.723 * [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)))) 2.724 * [backup-simplify]: Simplify (* (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.724 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 2.724 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.724 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.724 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.724 * [taylor]: Taking taylor expansion of 2 in x 2.724 * [backup-simplify]: Simplify 2 into 2 2.724 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.725 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.725 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.725 * [taylor]: Taking taylor expansion of x in x 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 1 into 1 2.726 * [backup-simplify]: Simplify (/ 1 1) into 1 2.726 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.726 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.726 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.726 * [taylor]: Taking taylor expansion of x in x 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [backup-simplify]: Simplify (/ 1 1) into 1 2.727 * [backup-simplify]: Simplify (- 1) into -1 2.727 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 2.728 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 2.728 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.729 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.729 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.729 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.729 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.729 * [taylor]: Taking taylor expansion of 2 in x 2.729 * [backup-simplify]: Simplify 2 into 2 2.729 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.730 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.730 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.730 * [taylor]: Taking taylor expansion of x in x 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 1 into 1 2.730 * [backup-simplify]: Simplify (/ 1 1) into 1 2.731 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.731 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.731 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.731 * [taylor]: Taking taylor expansion of x in x 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 1 into 1 2.731 * [backup-simplify]: Simplify (/ 1 1) into 1 2.731 * [backup-simplify]: Simplify (- 1) into -1 2.732 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 2.733 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 2.733 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.734 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.735 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.736 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 2.736 * [backup-simplify]: Simplify (+ 0 0) into 0 2.737 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.737 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.739 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 2.740 * [backup-simplify]: Simplify (+ 0 0) into 0 2.741 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.741 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.744 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 2.744 * [backup-simplify]: Simplify (+ 0 0) into 0 2.746 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 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 2.746 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.748 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.750 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 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 2.750 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.753 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 2.753 * [backup-simplify]: Simplify (+ 0 0) into 0 2.755 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 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 2.755 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.758 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 2.759 * [backup-simplify]: Simplify (+ 0 0) into 0 2.761 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 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 2.761 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) 2.763 * [backup-simplify]: Simplify (* (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.763 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 2.763 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.763 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.763 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.763 * [taylor]: Taking taylor expansion of 2 in x 2.763 * [backup-simplify]: Simplify 2 into 2 2.763 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.764 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.764 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.764 * [taylor]: Taking taylor expansion of x in x 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 1 into 1 2.764 * [backup-simplify]: Simplify (/ 1 1) into 1 2.764 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.764 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.764 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.764 * [taylor]: Taking taylor expansion of -1 in x 2.764 * [backup-simplify]: Simplify -1 into -1 2.764 * [taylor]: Taking taylor expansion of x in x 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.765 * [backup-simplify]: Simplify (/ -1 1) into -1 2.765 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.766 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 2.766 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.767 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.767 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.767 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.767 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.767 * [taylor]: Taking taylor expansion of 2 in x 2.767 * [backup-simplify]: Simplify 2 into 2 2.768 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.768 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.769 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.769 * [taylor]: Taking taylor expansion of x in x 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [backup-simplify]: Simplify (/ 1 1) into 1 2.769 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.769 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.769 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.769 * [taylor]: Taking taylor expansion of -1 in x 2.769 * [backup-simplify]: Simplify -1 into -1 2.769 * [taylor]: Taking taylor expansion of x in x 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.770 * [backup-simplify]: Simplify (/ -1 1) into -1 2.770 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.771 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 2.771 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.772 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.773 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.774 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 2.774 * [backup-simplify]: Simplify (+ 0 0) into 0 2.775 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.775 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.777 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 2.778 * [backup-simplify]: Simplify (+ 0 0) into 0 2.779 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.779 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.781 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 2.781 * [backup-simplify]: Simplify (+ 0 0) into 0 2.783 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 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 2.783 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.785 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 2.786 * [backup-simplify]: Simplify (+ 0 0) into 0 2.789 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 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 2.789 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.792 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 2.793 * [backup-simplify]: Simplify (+ 0 0) into 0 2.794 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 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 2.794 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.797 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 2.797 * [backup-simplify]: Simplify (+ 0 0) into 0 2.799 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 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 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ (pow (sqrt 2) 2) (+ (exp (* -1 x)) (exp x))) 2.799 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.799 * [backup-simplify]: Simplify (sqrt (+ (exp x) (exp (- x)))) into (sqrt (+ (exp x) (exp (- x)))) 2.799 * [approximate]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in (x) around 0 2.799 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 2.799 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.799 * [taylor]: Taking taylor expansion of (exp x) in x 2.799 * [taylor]: Taking taylor expansion of x in x 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * [backup-simplify]: Simplify (exp 0) into 1 2.799 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.800 * [taylor]: Taking taylor expansion of (- x) in x 2.800 * [taylor]: Taking taylor expansion of x in x 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (- 0) into 0 2.800 * [backup-simplify]: Simplify (- 1) into -1 2.800 * [backup-simplify]: Simplify (exp 0) into 1 2.800 * [backup-simplify]: Simplify (+ 1 1) into 2 2.801 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.801 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.801 * [backup-simplify]: Simplify (- 1) into -1 2.802 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 2.802 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.803 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 2.803 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.803 * [taylor]: Taking taylor expansion of (exp x) in x 2.803 * [taylor]: Taking taylor expansion of x in x 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (exp 0) into 1 2.803 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.803 * [taylor]: Taking taylor expansion of (- x) in x 2.803 * [taylor]: Taking taylor expansion of x in x 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (- 0) into 0 2.803 * [backup-simplify]: Simplify (- 1) into -1 2.803 * [backup-simplify]: Simplify (exp 0) into 1 2.804 * [backup-simplify]: Simplify (+ 1 1) into 2 2.804 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.804 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.805 * [backup-simplify]: Simplify (- 1) into -1 2.805 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 2.806 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.806 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.806 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.808 * [backup-simplify]: Simplify (- 1) into -1 2.808 * [backup-simplify]: Simplify (- 0) into 0 2.809 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.809 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 2.811 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 2.811 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 2.812 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 2.813 * [backup-simplify]: Simplify (- 1) into -1 2.813 * [backup-simplify]: Simplify (- 1) into -1 2.813 * [backup-simplify]: Simplify (- 0) into 0 2.813 * [backup-simplify]: Simplify (- 0) into 0 2.815 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 2.815 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 2.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.818 * [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 2.819 * [backup-simplify]: Simplify (- 1) into -1 2.819 * [backup-simplify]: Simplify (- 1) into -1 2.819 * [backup-simplify]: Simplify (- 0) into 0 2.819 * [backup-simplify]: Simplify (- 1) into -1 2.820 * [backup-simplify]: Simplify (- 0) into 0 2.820 * [backup-simplify]: Simplify (- 0) into 0 2.820 * [backup-simplify]: Simplify (- 0) into 0 2.822 * [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 2.823 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 2.826 * [backup-simplify]: Simplify (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 2.830 * [backup-simplify]: Simplify (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 2.835 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 4)) (+ (* (/ 1/2 (sqrt 2)) (pow x 2)) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/2 (/ (pow x 2) (sqrt 2))) (* 1/24 (/ (pow x 4) (sqrt 2))))) (* 1/8 (/ (pow x 4) (pow (sqrt 2) 3)))) 2.835 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.835 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 2.835 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.835 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.835 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (/ 1 1) into 1 2.835 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.835 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.835 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.836 * [backup-simplify]: Simplify (/ 1 1) into 1 2.836 * [backup-simplify]: Simplify (- 1) into -1 2.836 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 2.836 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.836 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.836 * [backup-simplify]: Simplify (+ 0 0) into 0 2.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.836 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.836 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.836 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (/ 1 1) into 1 2.837 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.837 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.837 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.837 * [taylor]: Taking taylor expansion of x in x 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (/ 1 1) into 1 2.838 * [backup-simplify]: Simplify (- 1) into -1 2.838 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 2.838 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.838 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.839 * [backup-simplify]: Simplify (+ 0 0) into 0 2.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.839 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify (+ 0 0) into 0 2.840 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify (+ 0 0) into 0 2.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify (+ 0 0) into 0 2.843 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify (+ 0 0) into 0 2.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (+ 0 0) into 0 2.846 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (sqrt (+ (exp x) (exp (- x)))) 2.846 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.846 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 2.846 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.846 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.846 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.847 * [backup-simplify]: Simplify (/ 1 1) into 1 2.847 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.847 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.847 * [taylor]: Taking taylor expansion of -1 in x 2.847 * [backup-simplify]: Simplify -1 into -1 2.847 * [taylor]: Taking taylor expansion of x in x 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 1 into 1 2.848 * [backup-simplify]: Simplify (/ -1 1) into -1 2.848 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.848 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.848 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.848 * [backup-simplify]: Simplify (+ 0 0) into 0 2.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.849 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.849 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.849 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.849 * [taylor]: Taking taylor expansion of x in x 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 1 into 1 2.849 * [backup-simplify]: Simplify (/ 1 1) into 1 2.849 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.849 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.849 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.849 * [taylor]: Taking taylor expansion of -1 in x 2.849 * [backup-simplify]: Simplify -1 into -1 2.849 * [taylor]: Taking taylor expansion of x in x 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 1 into 1 2.850 * [backup-simplify]: Simplify (/ -1 1) into -1 2.850 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.850 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.850 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.850 * [backup-simplify]: Simplify (+ 0 0) into 0 2.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.851 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.852 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.852 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify (+ 0 0) into 0 2.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify (+ 0 0) into 0 2.855 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify (+ 0 0) into 0 2.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.856 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify (+ 0 0) into 0 2.858 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (sqrt (+ (exp (* -1 x)) (exp x))) 2.859 * * * [progress]: simplifying candidates 2.859 * * * * [progress]: [ 1 / 413 ] simplifiying candidate # 2.859 * * * * [progress]: [ 2 / 413 ] simplifiying candidate # 2.859 * * * * [progress]: [ 3 / 413 ] simplifiying candidate # 2.859 * * * * [progress]: [ 4 / 413 ] simplifiying candidate # 2.859 * * * * [progress]: [ 5 / 413 ] simplifiying candidate # 2.859 * * * * [progress]: [ 6 / 413 ] simplifiying candidate # 2.859 * * * * [progress]: [ 7 / 413 ] simplifiying candidate # 2.859 * * * * [progress]: [ 8 / 413 ] simplifiying candidate # 2.859 * * * * [progress]: [ 9 / 413 ] simplifiying candidate # 2.859 * * * * [progress]: [ 10 / 413 ] simplifiying candidate # 2.859 * * * * [progress]: [ 11 / 413 ] simplifiying candidate # 2.859 * * * * [progress]: [ 12 / 413 ] simplifiying candidate # 2.860 * * * * [progress]: [ 13 / 413 ] simplifiying candidate # 2.860 * * * * [progress]: [ 14 / 413 ] simplifiying candidate # 2.860 * * * * [progress]: [ 15 / 413 ] simplifiying candidate # 2.860 * * * * [progress]: [ 16 / 413 ] simplifiying candidate # 2.860 * * * * [progress]: [ 17 / 413 ] simplifiying candidate # 2.860 * * * * [progress]: [ 18 / 413 ] simplifiying candidate # 2.860 * * * * [progress]: [ 19 / 413 ] simplifiying candidate # 2.860 * * * * [progress]: [ 20 / 413 ] simplifiying candidate # 2.860 * * * * [progress]: [ 21 / 413 ] simplifiying candidate # 2.860 * * * * [progress]: [ 22 / 413 ] simplifiying candidate # 2.860 * * * * [progress]: [ 23 / 413 ] simplifiying candidate # 2.860 * * * * [progress]: [ 24 / 413 ] simplifiying candidate # 2.860 * * * * [progress]: [ 25 / 413 ] simplifiying candidate # 2.861 * * * * [progress]: [ 26 / 413 ] simplifiying candidate # 2.861 * * * * [progress]: [ 27 / 413 ] simplifiying candidate # 2.861 * * * * [progress]: [ 28 / 413 ] simplifiying candidate # 2.861 * * * * [progress]: [ 29 / 413 ] simplifiying candidate # 2.861 * * * * [progress]: [ 30 / 413 ] simplifiying candidate # 2.861 * * * * [progress]: [ 31 / 413 ] simplifiying candidate # 2.861 * * * * [progress]: [ 32 / 413 ] simplifiying candidate # 2.861 * * * * [progress]: [ 33 / 413 ] simplifiying candidate # 2.861 * * * * [progress]: [ 34 / 413 ] simplifiying candidate # 2.861 * * * * [progress]: [ 35 / 413 ] simplifiying candidate # 2.861 * * * * [progress]: [ 36 / 413 ] simplifiying candidate # 2.861 * * * * [progress]: [ 37 / 413 ] simplifiying candidate # 2.861 * * * * [progress]: [ 38 / 413 ] simplifiying candidate # 2.861 * * * * [progress]: [ 39 / 413 ] simplifiying candidate # 2.862 * * * * [progress]: [ 40 / 413 ] simplifiying candidate # 2.862 * * * * [progress]: [ 41 / 413 ] simplifiying candidate # 2.862 * * * * [progress]: [ 42 / 413 ] simplifiying candidate # 2.862 * * * * [progress]: [ 43 / 413 ] simplifiying candidate # 2.862 * * * * [progress]: [ 44 / 413 ] simplifiying candidate # 2.862 * * * * [progress]: [ 45 / 413 ] simplifiying candidate # 2.862 * * * * [progress]: [ 46 / 413 ] simplifiying candidate # 2.862 * * * * [progress]: [ 47 / 413 ] simplifiying candidate # 2.862 * * * * [progress]: [ 48 / 413 ] simplifiying candidate # 2.862 * * * * [progress]: [ 49 / 413 ] simplifiying candidate # 2.862 * * * * [progress]: [ 50 / 413 ] simplifiying candidate # 2.862 * * * * [progress]: [ 51 / 413 ] simplifiying candidate # 2.862 * * * * [progress]: [ 52 / 413 ] simplifiying candidate # 2.862 * * * * [progress]: [ 53 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 54 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 55 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 56 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 57 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 58 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 59 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 60 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 61 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 62 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 63 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 64 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 65 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 66 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 67 / 413 ] simplifiying candidate # 2.863 * * * * [progress]: [ 68 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 69 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 70 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 71 / 413 ] simplifiying candidate #real (real->posit16 (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))))))> 2.864 * * * * [progress]: [ 72 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 73 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 74 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 75 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 76 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 77 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 78 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 79 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 80 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 81 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 82 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 83 / 413 ] simplifiying candidate # 2.864 * * * * [progress]: [ 84 / 413 ] simplifiying candidate # 2.865 * * * * [progress]: [ 85 / 413 ] simplifiying candidate # 2.865 * * * * [progress]: [ 86 / 413 ] simplifiying candidate # 2.865 * * * * [progress]: [ 87 / 413 ] simplifiying candidate # 2.865 * * * * [progress]: [ 88 / 413 ] simplifiying candidate # 2.865 * * * * [progress]: [ 89 / 413 ] simplifiying candidate # 2.865 * * * * [progress]: [ 90 / 413 ] simplifiying candidate # 2.865 * * * * [progress]: [ 91 / 413 ] simplifiying candidate # 2.865 * * * * [progress]: [ 92 / 413 ] simplifiying candidate # 2.865 * * * * [progress]: [ 93 / 413 ] simplifiying candidate # 2.865 * * * * [progress]: [ 94 / 413 ] simplifiying candidate # 2.865 * * * * [progress]: [ 95 / 413 ] simplifiying candidate # 2.865 * * * * [progress]: [ 96 / 413 ] simplifiying candidate # 2.865 * * * * [progress]: [ 97 / 413 ] simplifiying candidate # 2.865 * * * * [progress]: [ 98 / 413 ] simplifiying candidate # 2.866 * * * * 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[progress]: [ 387 / 413 ] simplifiying candidate # 2.888 * * * * [progress]: [ 388 / 413 ] simplifiying candidate # 2.888 * * * * [progress]: [ 389 / 413 ] simplifiying candidate # 2.888 * * * * [progress]: [ 390 / 413 ] simplifiying candidate # 2.888 * * * * [progress]: [ 391 / 413 ] simplifiying candidate # 2.888 * * * * [progress]: [ 392 / 413 ] simplifiying candidate # 2.888 * * * * [progress]: [ 393 / 413 ] simplifiying candidate # 2.888 * * * * [progress]: [ 394 / 413 ] simplifiying candidate # 2.888 * * * * [progress]: [ 395 / 413 ] simplifiying candidate # 2.888 * * * * [progress]: [ 396 / 413 ] simplifiying candidate # 2.888 * * * * [progress]: [ 397 / 413 ] simplifiying candidate # 2.888 * * * * [progress]: [ 398 / 413 ] simplifiying candidate # 2.888 * * * * [progress]: [ 399 / 413 ] simplifiying candidate # 2.889 * * * * [progress]: [ 400 / 413 ] simplifiying candidate # 2.889 * * * * [progress]: [ 401 / 413 ] simplifiying candidate #real (real->posit16 (sqrt (+ (exp x) (exp (- x)))))))))> 2.889 * * * * [progress]: [ 402 / 413 ] simplifiying candidate # 2.889 * * * * [progress]: [ 403 / 413 ] simplifiying candidate # 2.889 * * * * [progress]: [ 404 / 413 ] simplifiying candidate # 2.889 * * * * [progress]: [ 405 / 413 ] simplifiying candidate # 2.889 * * * * [progress]: [ 406 / 413 ] simplifiying candidate # 2.889 * * * * [progress]: [ 407 / 413 ] simplifiying candidate # 2.889 * * * * [progress]: [ 408 / 413 ] simplifiying candidate # 2.890 * * * * [progress]: [ 409 / 413 ] simplifiying candidate # 2.890 * * * * [progress]: [ 410 / 413 ] simplifiying candidate # 2.890 * * * * [progress]: [ 411 / 413 ] simplifiying candidate # 2.890 * * * * [progress]: [ 412 / 413 ] simplifiying candidate # 2.890 * * * * [progress]: [ 413 / 413 ] simplifiying candidate # 2.899 * [simplify]: Simplifying: (- (log (sqrt 2)) (log (sqrt (+ (exp x) (exp (- x)))))) (log (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (exp (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (/ (* (* 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2))) (* 1/24 (/ (* x x) (/ (sqrt 2) (* x x))))) (* 1/16 (/ (* (* x x) (* x x)) (sqrt 2)))) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) 3.895 * * * [progress]: adding candidates to table 8.701 * * [progress]: iteration 3 / 4 8.702 * * * [progress]: picking best candidate 8.711 * * * * [pick]: Picked # 8.711 * * * [progress]: localizing error 8.761 * * * [progress]: generating rewritten candidates 8.761 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.782 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 8.799 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 8.837 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 9.020 * * * [progress]: generating series expansions 9.020 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.021 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 9.021 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 9.021 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 9.021 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 9.021 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 9.021 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 9.021 * [taylor]: Taking taylor expansion of (exp x) in x 9.021 * [taylor]: Taking taylor expansion of x in x 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify 1 into 1 9.021 * [backup-simplify]: Simplify (exp 0) into 1 9.021 * [taylor]: Taking taylor expansion of (exp (- x)) in x 9.021 * [taylor]: Taking taylor expansion of (- x) in x 9.021 * [taylor]: Taking taylor expansion of x in x 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify 1 into 1 9.021 * [backup-simplify]: Simplify (- 0) into 0 9.022 * [backup-simplify]: Simplify (- 1) into -1 9.022 * [backup-simplify]: Simplify (exp 0) into 1 9.022 * [backup-simplify]: Simplify (+ 1 1) into 2 9.022 * [backup-simplify]: Simplify (/ 1 2) into 1/2 9.022 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.023 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 9.023 * [backup-simplify]: Simplify (- 1) into -1 9.024 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 9.024 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.025 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 9.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.025 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.025 * [taylor]: Taking taylor expansion of 2 in x 9.025 * [backup-simplify]: Simplify 2 into 2 9.025 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.026 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 9.026 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 9.026 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 9.026 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 9.026 * [taylor]: Taking taylor expansion of (exp x) in x 9.026 * [taylor]: Taking taylor expansion of x in x 9.026 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify 1 into 1 9.026 * [backup-simplify]: Simplify (exp 0) into 1 9.026 * [taylor]: Taking taylor expansion of (exp (- x)) in x 9.026 * [taylor]: Taking taylor expansion of (- x) in x 9.026 * [taylor]: Taking taylor expansion of x in x 9.026 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify 1 into 1 9.026 * [backup-simplify]: Simplify (- 0) into 0 9.026 * [backup-simplify]: Simplify (- 1) into -1 9.026 * [backup-simplify]: Simplify (exp 0) into 1 9.027 * [backup-simplify]: Simplify (+ 1 1) into 2 9.027 * [backup-simplify]: Simplify (/ 1 2) into 1/2 9.027 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.028 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 9.028 * [backup-simplify]: Simplify (- 1) into -1 9.029 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 9.029 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.030 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 9.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.030 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.030 * [taylor]: Taking taylor expansion of 2 in x 9.030 * [backup-simplify]: Simplify 2 into 2 9.030 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.032 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 9.033 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 9.033 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 9.033 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.035 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 9.035 * [backup-simplify]: Simplify (- 1) into -1 9.035 * [backup-simplify]: Simplify (- 0) into 0 9.036 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 9.037 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.037 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 9.039 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 9.042 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 9.044 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 9.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.046 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 9.046 * [backup-simplify]: Simplify (- 1) into -1 9.047 * [backup-simplify]: Simplify (- 1) into -1 9.047 * [backup-simplify]: Simplify (- 0) into 0 9.047 * [backup-simplify]: Simplify (- 0) into 0 9.049 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 9.049 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 9.050 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 9.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 9.057 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 9.057 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.063 * [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 9.063 * [backup-simplify]: Simplify (- 1) into -1 9.064 * [backup-simplify]: Simplify (- 1) into -1 9.064 * [backup-simplify]: Simplify (- 0) into 0 9.065 * [backup-simplify]: Simplify (- 1) into -1 9.065 * [backup-simplify]: Simplify (- 0) into 0 9.065 * [backup-simplify]: Simplify (- 0) into 0 9.066 * [backup-simplify]: Simplify (- 0) into 0 9.070 * [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 9.070 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 9.072 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 9.079 * [backup-simplify]: Simplify (/ (- 5/48 (pow (/ -1/8 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 9.106 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (sqrt 2)))))) into (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) 9.113 * [backup-simplify]: Simplify (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) into (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) 9.126 * [backup-simplify]: Simplify (+ (* (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) (pow x 2)) (* (sqrt 2) (sqrt 1/2)))) into (- (+ (* (sqrt 2) (sqrt 1/2)) (* 5/96 (/ (* (sqrt 2) (pow x 4)) (sqrt 1/2)))) (+ (* 1/128 (/ (* (sqrt 2) (pow x 4)) (pow (sqrt 1/2) 3))) (* 1/8 (/ (* (sqrt 2) (pow x 2)) (sqrt 1/2))))) 9.126 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 9.127 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 9.127 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 9.127 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.127 * [taylor]: Taking taylor expansion of 2 in x 9.127 * [backup-simplify]: Simplify 2 into 2 9.127 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.128 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 9.128 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 9.128 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 9.128 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.128 * [taylor]: Taking taylor expansion of x in x 9.128 * [backup-simplify]: Simplify 0 into 0 9.128 * [backup-simplify]: Simplify 1 into 1 9.128 * [backup-simplify]: Simplify (/ 1 1) into 1 9.128 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.128 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 9.129 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 9.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.129 * [taylor]: Taking taylor expansion of x in x 9.129 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify 1 into 1 9.129 * [backup-simplify]: Simplify (/ 1 1) into 1 9.129 * [backup-simplify]: Simplify (- 1) into -1 9.129 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 9.130 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 9.130 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 9.130 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 9.130 * [backup-simplify]: Simplify (+ 0 0) into 0 9.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.131 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 9.131 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.131 * [taylor]: Taking taylor expansion of 2 in x 9.131 * [backup-simplify]: Simplify 2 into 2 9.131 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 9.132 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 9.132 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 9.132 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.132 * [taylor]: Taking taylor expansion of x in x 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.133 * [backup-simplify]: Simplify (/ 1 1) into 1 9.133 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.133 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 9.133 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 9.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.133 * [taylor]: Taking taylor expansion of x in x 9.133 * [backup-simplify]: Simplify 0 into 0 9.133 * [backup-simplify]: Simplify 1 into 1 9.133 * [backup-simplify]: Simplify (/ 1 1) into 1 9.134 * [backup-simplify]: Simplify (- 1) into -1 9.134 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 9.134 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 9.134 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 9.134 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 9.135 * [backup-simplify]: Simplify (+ 0 0) into 0 9.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.136 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 9.136 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 9.137 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.137 * [backup-simplify]: Simplify 0 into 0 9.137 * [backup-simplify]: Simplify (+ 0 0) into 0 9.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.139 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.140 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.141 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 9.141 * [backup-simplify]: Simplify 0 into 0 9.141 * [backup-simplify]: Simplify (+ 0 0) into 0 9.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.145 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 9.145 * [backup-simplify]: Simplify 0 into 0 9.146 * [backup-simplify]: Simplify (+ 0 0) into 0 9.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.149 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.151 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify (+ 0 0) into 0 9.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.156 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))))) into 0 9.156 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify (+ 0 0) into 0 9.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.159 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.161 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.163 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))))) into 0 9.163 * [backup-simplify]: Simplify 0 into 0 9.164 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 9.164 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 9.164 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 9.164 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 9.164 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.164 * [taylor]: Taking taylor expansion of 2 in x 9.164 * [backup-simplify]: Simplify 2 into 2 9.165 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.166 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 9.166 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 9.166 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 9.166 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.166 * [taylor]: Taking taylor expansion of x in x 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 1 into 1 9.166 * [backup-simplify]: Simplify (/ 1 1) into 1 9.167 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.167 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 9.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.167 * [taylor]: Taking taylor expansion of -1 in x 9.167 * [backup-simplify]: Simplify -1 into -1 9.167 * [taylor]: Taking taylor expansion of x in x 9.167 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify 1 into 1 9.167 * [backup-simplify]: Simplify (/ -1 1) into -1 9.167 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 9.167 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 9.168 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 9.168 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 9.168 * [backup-simplify]: Simplify (+ 0 0) into 0 9.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.169 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 9.169 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.169 * [taylor]: Taking taylor expansion of 2 in x 9.169 * [backup-simplify]: Simplify 2 into 2 9.169 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.170 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 9.170 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 9.170 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 9.170 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.170 * [taylor]: Taking taylor expansion of x in x 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 1 into 1 9.170 * [backup-simplify]: Simplify (/ 1 1) into 1 9.170 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.171 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 9.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.171 * [taylor]: Taking taylor expansion of -1 in x 9.171 * [backup-simplify]: Simplify -1 into -1 9.171 * [taylor]: Taking taylor expansion of x in x 9.171 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify 1 into 1 9.171 * [backup-simplify]: Simplify (/ -1 1) into -1 9.171 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 9.171 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 9.171 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 9.172 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 9.172 * [backup-simplify]: Simplify (+ 0 0) into 0 9.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.173 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 9.174 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 9.174 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.174 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify (+ 0 0) into 0 9.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.176 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.177 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.179 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 9.179 * [backup-simplify]: Simplify 0 into 0 9.179 * [backup-simplify]: Simplify (+ 0 0) into 0 9.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.184 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify (+ 0 0) into 0 9.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.186 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.187 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.189 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 9.189 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify (+ 0 0) into 0 9.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.195 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))))) into 0 9.195 * [backup-simplify]: Simplify 0 into 0 9.196 * [backup-simplify]: Simplify (+ 0 0) into 0 9.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.198 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.199 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.207 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))))) into 0 9.208 * [backup-simplify]: Simplify 0 into 0 9.209 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) 9.209 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 9.209 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 9.209 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 9.209 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 9.209 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 9.209 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 9.209 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 9.209 * [taylor]: Taking taylor expansion of (exp x) in x 9.209 * [taylor]: Taking taylor expansion of x in x 9.209 * [backup-simplify]: Simplify 0 into 0 9.209 * [backup-simplify]: Simplify 1 into 1 9.209 * [backup-simplify]: Simplify (exp 0) into 1 9.209 * [taylor]: Taking taylor expansion of (exp (- x)) in x 9.209 * [taylor]: Taking taylor expansion of (- x) in x 9.209 * [taylor]: Taking taylor expansion of x in x 9.209 * [backup-simplify]: Simplify 0 into 0 9.209 * [backup-simplify]: Simplify 1 into 1 9.210 * [backup-simplify]: Simplify (- 0) into 0 9.210 * [backup-simplify]: Simplify (- 1) into -1 9.210 * [backup-simplify]: Simplify (exp 0) into 1 9.210 * [backup-simplify]: Simplify (+ 1 1) into 2 9.210 * [backup-simplify]: Simplify (/ 1 2) into 1/2 9.211 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.211 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 9.211 * [backup-simplify]: Simplify (- 1) into -1 9.212 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 9.212 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.213 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 9.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.213 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.213 * [taylor]: Taking taylor expansion of 2 in x 9.213 * [backup-simplify]: Simplify 2 into 2 9.214 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.214 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 9.214 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 9.214 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 9.214 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 9.214 * [taylor]: Taking taylor expansion of (exp x) in x 9.214 * [taylor]: Taking taylor expansion of x in x 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [backup-simplify]: Simplify 1 into 1 9.214 * [backup-simplify]: Simplify (exp 0) into 1 9.214 * [taylor]: Taking taylor expansion of (exp (- x)) in x 9.214 * [taylor]: Taking taylor expansion of (- x) in x 9.214 * [taylor]: Taking taylor expansion of x in x 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [backup-simplify]: Simplify 1 into 1 9.215 * [backup-simplify]: Simplify (- 0) into 0 9.215 * [backup-simplify]: Simplify (- 1) into -1 9.215 * [backup-simplify]: Simplify (exp 0) into 1 9.215 * [backup-simplify]: Simplify (+ 1 1) into 2 9.216 * [backup-simplify]: Simplify (/ 1 2) into 1/2 9.216 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.217 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 9.217 * [backup-simplify]: Simplify (- 1) into -1 9.217 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 9.218 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.218 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 9.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.219 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.219 * [taylor]: Taking taylor expansion of 2 in x 9.219 * [backup-simplify]: Simplify 2 into 2 9.219 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.220 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 9.221 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 9.222 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.223 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 9.223 * [backup-simplify]: Simplify (- 1) into -1 9.224 * [backup-simplify]: Simplify (- 0) into 0 9.225 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 9.225 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.226 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 9.227 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 9.232 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 9.235 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 9.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.238 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 9.239 * [backup-simplify]: Simplify (- 1) into -1 9.239 * [backup-simplify]: Simplify (- 1) into -1 9.240 * [backup-simplify]: Simplify (- 0) into 0 9.240 * [backup-simplify]: Simplify (- 0) into 0 9.243 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 9.243 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 9.245 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 9.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 9.248 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 9.248 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.253 * [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 9.253 * [backup-simplify]: Simplify (- 1) into -1 9.254 * [backup-simplify]: Simplify (- 1) into -1 9.254 * [backup-simplify]: Simplify (- 0) into 0 9.254 * [backup-simplify]: Simplify (- 1) into -1 9.254 * [backup-simplify]: Simplify (- 0) into 0 9.255 * [backup-simplify]: Simplify (- 0) into 0 9.255 * [backup-simplify]: Simplify (- 0) into 0 9.257 * [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 9.257 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 9.258 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 9.262 * [backup-simplify]: Simplify (/ (- 5/48 (pow (/ -1/8 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 9.276 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (sqrt 2)))))) into (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) 9.280 * [backup-simplify]: Simplify (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) into (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) 9.291 * [backup-simplify]: Simplify (+ (* (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) (pow x 2)) (* (sqrt 2) (sqrt 1/2)))) into (- (+ (* (sqrt 2) (sqrt 1/2)) (* 5/96 (/ (* (sqrt 2) (pow x 4)) (sqrt 1/2)))) (+ (* 1/128 (/ (* (sqrt 2) (pow x 4)) (pow (sqrt 1/2) 3))) (* 1/8 (/ (* (sqrt 2) (pow x 2)) (sqrt 1/2))))) 9.292 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 9.292 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 9.292 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 9.292 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.292 * [taylor]: Taking taylor expansion of 2 in x 9.292 * [backup-simplify]: Simplify 2 into 2 9.293 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.294 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 9.294 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 9.294 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 9.294 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.294 * [taylor]: Taking taylor expansion of x in x 9.294 * [backup-simplify]: Simplify 0 into 0 9.294 * [backup-simplify]: Simplify 1 into 1 9.294 * [backup-simplify]: Simplify (/ 1 1) into 1 9.295 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.295 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 9.295 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 9.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.295 * [taylor]: Taking taylor expansion of x in x 9.295 * [backup-simplify]: Simplify 0 into 0 9.295 * [backup-simplify]: Simplify 1 into 1 9.295 * [backup-simplify]: Simplify (/ 1 1) into 1 9.296 * [backup-simplify]: Simplify (- 1) into -1 9.296 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 9.296 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 9.296 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 9.296 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 9.297 * [backup-simplify]: Simplify (+ 0 0) into 0 9.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.297 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 9.297 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.297 * [taylor]: Taking taylor expansion of 2 in x 9.298 * [backup-simplify]: Simplify 2 into 2 9.298 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.299 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 9.299 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 9.299 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 9.299 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.299 * [taylor]: Taking taylor expansion of x in x 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify 1 into 1 9.299 * [backup-simplify]: Simplify (/ 1 1) into 1 9.299 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.299 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 9.299 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 9.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.299 * [taylor]: Taking taylor expansion of x in x 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify 1 into 1 9.300 * [backup-simplify]: Simplify (/ 1 1) into 1 9.300 * [backup-simplify]: Simplify (- 1) into -1 9.300 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 9.300 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 9.301 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 9.301 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 9.301 * [backup-simplify]: Simplify (+ 0 0) into 0 9.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.302 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 9.303 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 9.304 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.304 * [backup-simplify]: Simplify 0 into 0 9.304 * [backup-simplify]: Simplify (+ 0 0) into 0 9.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.305 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.306 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.307 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 9.307 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify (+ 0 0) into 0 9.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.312 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 9.312 * [backup-simplify]: Simplify 0 into 0 9.313 * [backup-simplify]: Simplify (+ 0 0) into 0 9.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.320 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.322 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.324 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 9.324 * [backup-simplify]: Simplify 0 into 0 9.325 * [backup-simplify]: Simplify (+ 0 0) into 0 9.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.328 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))))) into 0 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify (+ 0 0) into 0 9.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.329 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.330 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.331 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))))) into 0 9.331 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 9.332 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 9.332 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 9.332 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 9.332 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.332 * [taylor]: Taking taylor expansion of 2 in x 9.332 * [backup-simplify]: Simplify 2 into 2 9.332 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.333 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 9.333 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 9.333 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 9.333 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.333 * [taylor]: Taking taylor expansion of x in x 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify 1 into 1 9.333 * [backup-simplify]: Simplify (/ 1 1) into 1 9.333 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.333 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 9.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.333 * [taylor]: Taking taylor expansion of -1 in x 9.333 * [backup-simplify]: Simplify -1 into -1 9.333 * [taylor]: Taking taylor expansion of x in x 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify 1 into 1 9.334 * [backup-simplify]: Simplify (/ -1 1) into -1 9.334 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 9.334 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 9.334 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 9.334 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 9.334 * [backup-simplify]: Simplify (+ 0 0) into 0 9.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.334 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 9.334 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.334 * [taylor]: Taking taylor expansion of 2 in x 9.334 * [backup-simplify]: Simplify 2 into 2 9.335 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 9.335 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 9.335 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 9.335 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.335 * [taylor]: Taking taylor expansion of x in x 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify 1 into 1 9.335 * [backup-simplify]: Simplify (/ 1 1) into 1 9.335 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.335 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 9.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.336 * [taylor]: Taking taylor expansion of -1 in x 9.336 * [backup-simplify]: Simplify -1 into -1 9.336 * [taylor]: Taking taylor expansion of x in x 9.336 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify 1 into 1 9.336 * [backup-simplify]: Simplify (/ -1 1) into -1 9.336 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 9.336 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 9.336 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 9.336 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 9.336 * [backup-simplify]: Simplify (+ 0 0) into 0 9.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.337 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 9.337 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 9.338 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify (+ 0 0) into 0 9.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.339 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.339 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.340 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 9.340 * [backup-simplify]: Simplify 0 into 0 9.340 * [backup-simplify]: Simplify (+ 0 0) into 0 9.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.343 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 9.343 * [backup-simplify]: Simplify 0 into 0 9.343 * [backup-simplify]: Simplify (+ 0 0) into 0 9.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.345 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.346 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 9.346 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify (+ 0 0) into 0 9.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.349 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))))) into 0 9.349 * [backup-simplify]: Simplify 0 into 0 9.349 * [backup-simplify]: Simplify (+ 0 0) into 0 9.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.351 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.353 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))))) into 0 9.353 * [backup-simplify]: Simplify 0 into 0 9.353 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) 9.353 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 9.353 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 9.353 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 9.353 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 9.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 9.353 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 9.353 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 9.353 * [taylor]: Taking taylor expansion of (exp x) in x 9.353 * [taylor]: Taking taylor expansion of x in x 9.354 * [backup-simplify]: Simplify 0 into 0 9.354 * [backup-simplify]: Simplify 1 into 1 9.354 * [backup-simplify]: Simplify (exp 0) into 1 9.354 * [taylor]: Taking taylor expansion of (exp (- x)) in x 9.354 * [taylor]: Taking taylor expansion of (- x) in x 9.354 * [taylor]: Taking taylor expansion of x in x 9.354 * [backup-simplify]: Simplify 0 into 0 9.354 * [backup-simplify]: Simplify 1 into 1 9.354 * [backup-simplify]: Simplify (- 0) into 0 9.354 * [backup-simplify]: Simplify (- 1) into -1 9.354 * [backup-simplify]: Simplify (exp 0) into 1 9.354 * [backup-simplify]: Simplify (+ 1 1) into 2 9.355 * [backup-simplify]: Simplify (/ 1 2) into 1/2 9.355 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.356 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 9.356 * [backup-simplify]: Simplify (- 1) into -1 9.357 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 9.357 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.358 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 9.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.359 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.359 * [taylor]: Taking taylor expansion of 2 in x 9.359 * [backup-simplify]: Simplify 2 into 2 9.359 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.360 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 9.360 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 9.360 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 9.360 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 9.360 * [taylor]: Taking taylor expansion of (exp x) in x 9.360 * [taylor]: Taking taylor expansion of x in x 9.360 * [backup-simplify]: Simplify 0 into 0 9.360 * [backup-simplify]: Simplify 1 into 1 9.360 * [backup-simplify]: Simplify (exp 0) into 1 9.360 * [taylor]: Taking taylor expansion of (exp (- x)) in x 9.360 * [taylor]: Taking taylor expansion of (- x) in x 9.360 * [taylor]: Taking taylor expansion of x in x 9.360 * [backup-simplify]: Simplify 0 into 0 9.360 * [backup-simplify]: Simplify 1 into 1 9.361 * [backup-simplify]: Simplify (- 0) into 0 9.361 * [backup-simplify]: Simplify (- 1) into -1 9.361 * [backup-simplify]: Simplify (exp 0) into 1 9.361 * [backup-simplify]: Simplify (+ 1 1) into 2 9.362 * [backup-simplify]: Simplify (/ 1 2) into 1/2 9.362 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.363 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 9.364 * [backup-simplify]: Simplify (- 1) into -1 9.365 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 9.365 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.366 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 9.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.367 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.367 * [taylor]: Taking taylor expansion of 2 in x 9.367 * [backup-simplify]: Simplify 2 into 2 9.367 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.370 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 9.371 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 9.372 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 9.372 * [backup-simplify]: Simplify 0 into 0 9.373 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.375 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 9.375 * [backup-simplify]: Simplify (- 1) into -1 9.376 * [backup-simplify]: Simplify (- 0) into 0 9.378 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 9.378 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.379 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 9.382 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 9.387 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 9.388 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 9.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.390 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 9.391 * [backup-simplify]: Simplify (- 1) into -1 9.391 * [backup-simplify]: Simplify (- 1) into -1 9.391 * [backup-simplify]: Simplify (- 0) into 0 9.391 * [backup-simplify]: Simplify (- 0) into 0 9.393 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 9.393 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 9.394 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 9.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 9.396 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 9.396 * [backup-simplify]: Simplify 0 into 0 9.397 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.399 * [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 9.399 * [backup-simplify]: Simplify (- 1) into -1 9.399 * [backup-simplify]: Simplify (- 1) into -1 9.400 * [backup-simplify]: Simplify (- 0) into 0 9.400 * [backup-simplify]: Simplify (- 1) into -1 9.400 * [backup-simplify]: Simplify (- 0) into 0 9.400 * [backup-simplify]: Simplify (- 0) into 0 9.400 * [backup-simplify]: Simplify (- 0) into 0 9.403 * [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 9.403 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 9.404 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 9.408 * [backup-simplify]: Simplify (/ (- 5/48 (pow (/ -1/8 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 9.434 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (sqrt 2)))))) into (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) 9.442 * [backup-simplify]: Simplify (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) into (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) 9.453 * [backup-simplify]: Simplify (+ (* (- (* 5/96 (/ (sqrt 2) (sqrt 1/2))) (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) (pow x 2)) (* (sqrt 2) (sqrt 1/2)))) into (- (+ (* (sqrt 2) (sqrt 1/2)) (* 5/96 (/ (* (sqrt 2) (pow x 4)) (sqrt 1/2)))) (+ (* 1/128 (/ (* (sqrt 2) (pow x 4)) (pow (sqrt 1/2) 3))) (* 1/8 (/ (* (sqrt 2) (pow x 2)) (sqrt 1/2))))) 9.453 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 9.453 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 9.453 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 9.453 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.453 * [taylor]: Taking taylor expansion of 2 in x 9.453 * [backup-simplify]: Simplify 2 into 2 9.454 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 9.454 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 9.454 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 9.454 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.454 * [taylor]: Taking taylor expansion of x in x 9.454 * [backup-simplify]: Simplify 0 into 0 9.455 * [backup-simplify]: Simplify 1 into 1 9.455 * [backup-simplify]: Simplify (/ 1 1) into 1 9.455 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.455 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 9.455 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 9.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.455 * [taylor]: Taking taylor expansion of x in x 9.455 * [backup-simplify]: Simplify 0 into 0 9.455 * [backup-simplify]: Simplify 1 into 1 9.455 * [backup-simplify]: Simplify (/ 1 1) into 1 9.456 * [backup-simplify]: Simplify (- 1) into -1 9.456 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 9.456 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 9.456 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 9.456 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 9.457 * [backup-simplify]: Simplify (+ 0 0) into 0 9.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.457 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 9.457 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.457 * [taylor]: Taking taylor expansion of 2 in x 9.457 * [backup-simplify]: Simplify 2 into 2 9.457 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.458 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 9.458 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 9.458 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 9.458 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.458 * [taylor]: Taking taylor expansion of x in x 9.458 * [backup-simplify]: Simplify 0 into 0 9.458 * [backup-simplify]: Simplify 1 into 1 9.459 * [backup-simplify]: Simplify (/ 1 1) into 1 9.459 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.459 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 9.459 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 9.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.459 * [taylor]: Taking taylor expansion of x in x 9.459 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify 1 into 1 9.459 * [backup-simplify]: Simplify (/ 1 1) into 1 9.459 * [backup-simplify]: Simplify (- 1) into -1 9.459 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 9.460 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 9.460 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 9.460 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 9.460 * [backup-simplify]: Simplify (+ 0 0) into 0 9.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.461 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 9.462 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 9.462 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.462 * [backup-simplify]: Simplify 0 into 0 9.463 * [backup-simplify]: Simplify (+ 0 0) into 0 9.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.465 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.466 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 9.466 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify (+ 0 0) into 0 9.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.470 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 9.470 * [backup-simplify]: Simplify 0 into 0 9.470 * [backup-simplify]: Simplify (+ 0 0) into 0 9.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.472 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.473 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.474 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 9.474 * [backup-simplify]: Simplify 0 into 0 9.474 * [backup-simplify]: Simplify (+ 0 0) into 0 9.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.478 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))))) into 0 9.478 * [backup-simplify]: Simplify 0 into 0 9.478 * [backup-simplify]: Simplify (+ 0 0) into 0 9.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.479 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.480 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.482 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))))) into 0 9.482 * [backup-simplify]: Simplify 0 into 0 9.482 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 9.482 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 9.482 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 9.482 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 9.482 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.482 * [taylor]: Taking taylor expansion of 2 in x 9.482 * [backup-simplify]: Simplify 2 into 2 9.483 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 9.483 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 9.483 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 9.483 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.483 * [taylor]: Taking taylor expansion of x in x 9.483 * [backup-simplify]: Simplify 0 into 0 9.483 * [backup-simplify]: Simplify 1 into 1 9.483 * [backup-simplify]: Simplify (/ 1 1) into 1 9.484 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.484 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 9.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.484 * [taylor]: Taking taylor expansion of -1 in x 9.484 * [backup-simplify]: Simplify -1 into -1 9.484 * [taylor]: Taking taylor expansion of x in x 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify 1 into 1 9.484 * [backup-simplify]: Simplify (/ -1 1) into -1 9.484 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 9.484 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 9.484 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 9.484 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 9.484 * [backup-simplify]: Simplify (+ 0 0) into 0 9.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.485 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 9.485 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.485 * [taylor]: Taking taylor expansion of 2 in x 9.485 * [backup-simplify]: Simplify 2 into 2 9.485 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 9.485 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 9.485 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 9.485 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.485 * [taylor]: Taking taylor expansion of x in x 9.485 * [backup-simplify]: Simplify 0 into 0 9.485 * [backup-simplify]: Simplify 1 into 1 9.486 * [backup-simplify]: Simplify (/ 1 1) into 1 9.486 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.486 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 9.486 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.486 * [taylor]: Taking taylor expansion of -1 in x 9.486 * [backup-simplify]: Simplify -1 into -1 9.486 * [taylor]: Taking taylor expansion of x in x 9.486 * [backup-simplify]: Simplify 0 into 0 9.486 * [backup-simplify]: Simplify 1 into 1 9.486 * [backup-simplify]: Simplify (/ -1 1) into -1 9.486 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 9.486 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 9.486 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 9.486 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 9.487 * [backup-simplify]: Simplify (+ 0 0) into 0 9.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.487 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 9.488 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 9.488 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.488 * [backup-simplify]: Simplify 0 into 0 9.489 * [backup-simplify]: Simplify (+ 0 0) into 0 9.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.490 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 9.490 * [backup-simplify]: Simplify 0 into 0 9.491 * [backup-simplify]: Simplify (+ 0 0) into 0 9.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.493 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 9.493 * [backup-simplify]: Simplify 0 into 0 9.494 * [backup-simplify]: Simplify (+ 0 0) into 0 9.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.495 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.495 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.496 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 9.496 * [backup-simplify]: Simplify 0 into 0 9.497 * [backup-simplify]: Simplify (+ 0 0) into 0 9.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.499 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))))) into 0 9.500 * [backup-simplify]: Simplify 0 into 0 9.500 * [backup-simplify]: Simplify (+ 0 0) into 0 9.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (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 9.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.502 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.503 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))))) into 0 9.503 * [backup-simplify]: Simplify 0 into 0 9.503 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) 9.503 * * * * [progress]: [ 4 / 4 ] generating series at (2) 9.504 * [backup-simplify]: Simplify (* (* (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) into (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) 9.504 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in (x) around 0 9.504 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in x 9.505 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 9.505 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.505 * [taylor]: Taking taylor expansion of 2 in x 9.505 * [backup-simplify]: Simplify 2 into 2 9.505 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.505 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 9.505 * [taylor]: Taking taylor expansion of (exp x) in x 9.505 * [taylor]: Taking taylor expansion of x in x 9.505 * [backup-simplify]: Simplify 0 into 0 9.505 * [backup-simplify]: Simplify 1 into 1 9.505 * [backup-simplify]: Simplify (exp 0) into 1 9.505 * [taylor]: Taking taylor expansion of (exp (- x)) in x 9.505 * [taylor]: Taking taylor expansion of (- x) in x 9.505 * [taylor]: Taking taylor expansion of x in x 9.505 * [backup-simplify]: Simplify 0 into 0 9.505 * [backup-simplify]: Simplify 1 into 1 9.506 * [backup-simplify]: Simplify (- 0) into 0 9.506 * [backup-simplify]: Simplify (- 1) into -1 9.506 * [backup-simplify]: Simplify (exp 0) into 1 9.507 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 9.507 * [backup-simplify]: Simplify (+ 1 1) into 2 9.508 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 2) into (* 1/2 (pow (sqrt 2) 2)) 9.508 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in x 9.508 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 9.508 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.508 * [taylor]: Taking taylor expansion of 2 in x 9.508 * [backup-simplify]: Simplify 2 into 2 9.508 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.508 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 9.508 * [taylor]: Taking taylor expansion of (exp x) in x 9.508 * [taylor]: Taking taylor expansion of x in x 9.508 * [backup-simplify]: Simplify 0 into 0 9.508 * [backup-simplify]: Simplify 1 into 1 9.508 * [backup-simplify]: Simplify (exp 0) into 1 9.508 * [taylor]: Taking taylor expansion of (exp (- x)) in x 9.508 * [taylor]: Taking taylor expansion of (- x) in x 9.509 * [taylor]: Taking taylor expansion of x in x 9.509 * [backup-simplify]: Simplify 0 into 0 9.509 * [backup-simplify]: Simplify 1 into 1 9.509 * [backup-simplify]: Simplify (- 0) into 0 9.509 * [backup-simplify]: Simplify (- 1) into -1 9.509 * [backup-simplify]: Simplify (exp 0) into 1 9.510 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 9.510 * [backup-simplify]: Simplify (+ 1 1) into 2 9.511 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 2) into (* 1/2 (pow (sqrt 2) 2)) 9.512 * [backup-simplify]: Simplify (* 1/2 (pow (sqrt 2) 2)) into (* 1/2 (pow (sqrt 2) 2)) 9.513 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 9.513 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 9.513 * [backup-simplify]: Simplify (- 1) into -1 9.514 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 9.514 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.515 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 0 2)))) into 0 9.515 * [backup-simplify]: Simplify 0 into 0 9.516 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.516 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 9.518 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 9.518 * [backup-simplify]: Simplify (- 1) into -1 9.519 * [backup-simplify]: Simplify (- 0) into 0 9.520 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 9.521 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.534 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 1 2)) (* 0 (/ 0 2)))) into (- (* 1/4 (pow (sqrt 2) 2))) 9.536 * [backup-simplify]: Simplify (- (* 1/4 (pow (sqrt 2) 2))) into (- (* 1/4 (pow (sqrt 2) 2))) 9.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.539 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 9.541 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 9.542 * [backup-simplify]: Simplify (- 1) into -1 9.542 * [backup-simplify]: Simplify (- 1) into -1 9.543 * [backup-simplify]: Simplify (- 0) into 0 9.543 * [backup-simplify]: Simplify (- 0) into 0 9.546 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 9.546 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 9.549 * [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 9.549 * [backup-simplify]: Simplify 0 into 0 9.550 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.552 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 9.556 * [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 9.556 * [backup-simplify]: Simplify (- 1) into -1 9.557 * [backup-simplify]: Simplify (- 1) into -1 9.557 * [backup-simplify]: Simplify (- 0) into 0 9.558 * [backup-simplify]: Simplify (- 1) into -1 9.558 * [backup-simplify]: Simplify (- 0) into 0 9.558 * [backup-simplify]: Simplify (- 0) into 0 9.559 * [backup-simplify]: Simplify (- 0) into 0 9.562 * [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 9.562 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 9.570 * [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)) 9.571 * [backup-simplify]: Simplify (* 5/48 (pow (sqrt 2) 2)) into (* 5/48 (pow (sqrt 2) 2)) 9.574 * [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)))) 9.575 * [backup-simplify]: Simplify (* (* (sqrt (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 9.575 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 9.575 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 9.575 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 9.575 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.575 * [taylor]: Taking taylor expansion of 2 in x 9.575 * [backup-simplify]: Simplify 2 into 2 9.576 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.576 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 9.576 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.576 * [taylor]: Taking taylor expansion of x in x 9.576 * [backup-simplify]: Simplify 0 into 0 9.576 * [backup-simplify]: Simplify 1 into 1 9.576 * [backup-simplify]: Simplify (/ 1 1) into 1 9.576 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.576 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 9.576 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 9.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.576 * [taylor]: Taking taylor expansion of x in x 9.576 * [backup-simplify]: Simplify 0 into 0 9.577 * [backup-simplify]: Simplify 1 into 1 9.577 * [backup-simplify]: Simplify (/ 1 1) into 1 9.577 * [backup-simplify]: Simplify (- 1) into -1 9.577 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 9.578 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 9.578 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 9.578 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 9.578 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 9.578 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 9.578 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.579 * [taylor]: Taking taylor expansion of 2 in x 9.579 * [backup-simplify]: Simplify 2 into 2 9.579 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.579 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 9.579 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.579 * [taylor]: Taking taylor expansion of x in x 9.579 * [backup-simplify]: Simplify 0 into 0 9.579 * [backup-simplify]: Simplify 1 into 1 9.579 * [backup-simplify]: Simplify (/ 1 1) into 1 9.580 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.580 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 9.580 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 9.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.580 * [taylor]: Taking taylor expansion of x in x 9.580 * [backup-simplify]: Simplify 0 into 0 9.580 * [backup-simplify]: Simplify 1 into 1 9.580 * [backup-simplify]: Simplify (/ 1 1) into 1 9.580 * [backup-simplify]: Simplify (- 1) into -1 9.580 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 9.581 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 9.581 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 9.582 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 9.582 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 9.583 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 9.583 * [backup-simplify]: Simplify (+ 0 0) into 0 9.584 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.584 * [backup-simplify]: Simplify 0 into 0 9.584 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.585 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 9.585 * [backup-simplify]: Simplify (+ 0 0) into 0 9.586 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.586 * [backup-simplify]: Simplify 0 into 0 9.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.587 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 9.588 * [backup-simplify]: Simplify (+ 0 0) into 0 9.589 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 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 9.589 * [backup-simplify]: Simplify 0 into 0 9.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.590 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 9.590 * [backup-simplify]: Simplify (+ 0 0) into 0 9.591 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 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 9.591 * [backup-simplify]: Simplify 0 into 0 9.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.593 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 9.593 * [backup-simplify]: Simplify (+ 0 0) into 0 9.594 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 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 9.594 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.596 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 9.596 * [backup-simplify]: Simplify (+ 0 0) into 0 9.597 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 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 9.597 * [backup-simplify]: Simplify 0 into 0 9.598 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) 9.599 * [backup-simplify]: Simplify (* (* (sqrt (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))))) (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 9.599 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 9.599 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 9.599 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 9.599 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.599 * [taylor]: Taking taylor expansion of 2 in x 9.599 * [backup-simplify]: Simplify 2 into 2 9.599 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.600 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 9.600 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.600 * [taylor]: Taking taylor expansion of x in x 9.600 * [backup-simplify]: Simplify 0 into 0 9.600 * [backup-simplify]: Simplify 1 into 1 9.600 * [backup-simplify]: Simplify (/ 1 1) into 1 9.600 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.600 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 9.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.600 * [taylor]: Taking taylor expansion of -1 in x 9.600 * [backup-simplify]: Simplify -1 into -1 9.600 * [taylor]: Taking taylor expansion of x in x 9.600 * [backup-simplify]: Simplify 0 into 0 9.600 * [backup-simplify]: Simplify 1 into 1 9.601 * [backup-simplify]: Simplify (/ -1 1) into -1 9.601 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 9.601 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 9.601 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 9.602 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 9.602 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 9.602 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 9.602 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.602 * [taylor]: Taking taylor expansion of 2 in x 9.602 * [backup-simplify]: Simplify 2 into 2 9.602 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.603 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 9.603 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.603 * [taylor]: Taking taylor expansion of x in x 9.603 * [backup-simplify]: Simplify 0 into 0 9.603 * [backup-simplify]: Simplify 1 into 1 9.603 * [backup-simplify]: Simplify (/ 1 1) into 1 9.603 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.603 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 9.603 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.603 * [taylor]: Taking taylor expansion of -1 in x 9.603 * [backup-simplify]: Simplify -1 into -1 9.603 * [taylor]: Taking taylor expansion of x in x 9.603 * [backup-simplify]: Simplify 0 into 0 9.603 * [backup-simplify]: Simplify 1 into 1 9.603 * [backup-simplify]: Simplify (/ -1 1) into -1 9.603 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 9.604 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 9.604 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 9.605 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 9.606 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 9.607 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 9.608 * [backup-simplify]: Simplify (+ 0 0) into 0 9.609 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.609 * [backup-simplify]: Simplify 0 into 0 9.610 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.611 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 9.611 * [backup-simplify]: Simplify (+ 0 0) into 0 9.612 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.612 * [backup-simplify]: Simplify 0 into 0 9.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.615 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 9.615 * [backup-simplify]: Simplify (+ 0 0) into 0 9.616 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 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 9.616 * [backup-simplify]: Simplify 0 into 0 9.618 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.619 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 9.619 * [backup-simplify]: Simplify (+ 0 0) into 0 9.621 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 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 9.621 * [backup-simplify]: Simplify 0 into 0 9.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.623 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 9.624 * [backup-simplify]: Simplify (+ 0 0) into 0 9.625 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 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 9.625 * [backup-simplify]: Simplify 0 into 0 9.627 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.628 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 9.629 * [backup-simplify]: Simplify (+ 0 0) into 0 9.630 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 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 9.630 * [backup-simplify]: Simplify 0 into 0 9.631 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ (pow (sqrt 2) 2) (+ (exp (* -1 x)) (exp x))) 9.631 * * * [progress]: simplifying candidates 9.631 * * * * [progress]: [ 1 / 319 ] simplifiying candidate # 9.631 * * * * [progress]: [ 2 / 319 ] simplifiying candidate # 9.632 * * * * [progress]: [ 3 / 319 ] simplifiying candidate # 9.632 * * * * [progress]: [ 4 / 319 ] simplifiying candidate # 9.632 * * * * [progress]: [ 5 / 319 ] simplifiying candidate # 9.632 * * * * [progress]: [ 6 / 319 ] simplifiying candidate # 9.632 * * * * [progress]: [ 7 / 319 ] simplifiying candidate # 9.632 * * * * [progress]: [ 8 / 319 ] simplifiying candidate # 9.632 * * * * [progress]: [ 9 / 319 ] simplifiying candidate # 9.632 * * * * [progress]: [ 10 / 319 ] simplifiying candidate # 9.632 * * * * [progress]: [ 11 / 319 ] simplifiying candidate # 9.632 * * * * [progress]: [ 12 / 319 ] simplifiying candidate # 9.632 * * * * [progress]: [ 13 / 319 ] simplifiying candidate # 9.632 * * * * [progress]: [ 14 / 319 ] simplifiying candidate # 9.632 * * * * [progress]: [ 15 / 319 ] simplifiying candidate # 9.633 * * * * [progress]: [ 16 / 319 ] simplifiying candidate # 9.633 * * * * [progress]: [ 17 / 319 ] simplifiying candidate # 9.633 * * * * [progress]: [ 18 / 319 ] simplifiying candidate # 9.633 * * * * [progress]: [ 19 / 319 ] simplifiying candidate # 9.633 * * * * [progress]: [ 20 / 319 ] simplifiying candidate # 9.633 * * * * [progress]: [ 21 / 319 ] simplifiying candidate # 9.633 * * * * [progress]: [ 22 / 319 ] simplifiying candidate # 9.633 * * * * [progress]: [ 23 / 319 ] simplifiying candidate # 9.633 * * * * [progress]: [ 24 / 319 ] simplifiying candidate # 9.633 * * * * [progress]: [ 25 / 319 ] simplifiying candidate # 9.633 * * * * [progress]: [ 26 / 319 ] simplifiying candidate # 9.633 * * * * [progress]: [ 27 / 319 ] simplifiying candidate # 9.633 * * * * [progress]: [ 28 / 319 ] simplifiying candidate # 9.634 * * * * [progress]: [ 29 / 319 ] simplifiying candidate # 9.634 * * * * [progress]: [ 30 / 319 ] simplifiying candidate # 9.634 * * * * [progress]: [ 31 / 319 ] simplifiying candidate # 9.634 * * * * [progress]: [ 32 / 319 ] simplifiying candidate # 9.634 * * * * [progress]: [ 33 / 319 ] simplifiying candidate # 9.634 * * * * [progress]: [ 34 / 319 ] simplifiying candidate # 9.634 * * * * [progress]: [ 35 / 319 ] simplifiying candidate # 9.634 * * * * [progress]: [ 36 / 319 ] simplifiying candidate # 9.634 * * * * [progress]: [ 37 / 319 ] simplifiying candidate # 9.634 * * * * [progress]: [ 38 / 319 ] simplifiying candidate # 9.634 * * * * [progress]: [ 39 / 319 ] simplifiying candidate # 9.634 * * * * [progress]: [ 40 / 319 ] simplifiying candidate # 9.634 * * * * [progress]: [ 41 / 319 ] simplifiying candidate # 9.634 * * * * [progress]: [ 42 / 319 ] simplifiying candidate # 9.635 * * * * [progress]: [ 43 / 319 ] simplifiying candidate # 9.635 * * * * [progress]: [ 44 / 319 ] simplifiying candidate # 9.635 * * * * [progress]: [ 45 / 319 ] simplifiying candidate # 9.635 * * * * [progress]: [ 46 / 319 ] simplifiying candidate # 9.635 * * * * [progress]: [ 47 / 319 ] simplifiying candidate # 9.635 * * * * [progress]: [ 48 / 319 ] simplifiying candidate # 9.635 * * * * [progress]: [ 49 / 319 ] simplifiying candidate # 9.635 * * * * [progress]: [ 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#real (real->posit16 (* (* (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))))))> 9.651 * * * * [progress]: [ 307 / 319 ] simplifiying candidate # 9.651 * * * * [progress]: [ 308 / 319 ] simplifiying candidate # 9.651 * * * * [progress]: [ 309 / 319 ] simplifiying candidate # 9.651 * * * * [progress]: [ 310 / 319 ] simplifiying candidate # 9.651 * * * * [progress]: [ 311 / 319 ] simplifiying candidate # 9.651 * * * * [progress]: [ 312 / 319 ] simplifiying candidate # 9.651 * * * * [progress]: [ 313 / 319 ] simplifiying candidate # 9.651 * * * * [progress]: [ 314 / 319 ] simplifiying candidate # 9.651 * * * * [progress]: [ 315 / 319 ] simplifiying candidate # 9.651 * * * * [progress]: [ 316 / 319 ] simplifiying candidate # 9.651 * * * * [progress]: [ 317 / 319 ] simplifiying candidate # 9.651 * * * * [progress]: [ 318 / 319 ] simplifiying candidate # 9.651 * * * * [progress]: [ 319 / 319 ] simplifiying candidate # 9.660 * [simplify]: Simplifying: (- (log (sqrt 2)) (log (sqrt (+ (exp x) (exp (- x)))))) (log (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (exp (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (cbrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (* (* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (/ 2 (+ (exp x) (exp (- x)))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (- (sqrt 2)) (- (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (cbrt (sqrt 2)) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt 1)) (/ (cbrt (sqrt 2)) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt 1)) (/ (cbrt (sqrt 2)) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (sqrt 2)) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (cbrt (sqrt 2)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (* (cbrt 2) (cbrt 2))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (cbrt 2)) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (sqrt (cbrt 2)) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (cbrt 2)) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt 1)) (/ (sqrt (cbrt 2)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt 1)) (/ (sqrt (cbrt 2)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (cbrt 2)) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (* (cbrt 2) (cbrt 2))) 1) (/ (sqrt (cbrt 2)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2)) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (sqrt 2)) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (sqrt 2)) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (sqrt (sqrt 2)) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (sqrt 2)) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (sqrt 2)) (sqrt 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13.543 * * [simplify]: Extracting #7: cost 580 inf + 501609 13.723 * * [simplify]: Extracting #8: cost 68 inf + 773169 13.893 * * [simplify]: Extracting #9: cost 0 inf + 804512 14.122 * * [simplify]: Extracting #10: cost 0 inf + 802912 14.360 * [simplify]: Simplified to: (log (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (log (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (exp (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (/ (/ (* 2 (sqrt 2)) (sqrt (+ (exp x) (exp (- x))))) (+ (exp x) (exp (- x)))) (* (cbrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (cbrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (/ (/ (* 2 (sqrt 2)) (sqrt (+ (exp x) (exp (- x))))) (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (- (sqrt 2)) (- (sqrt (+ (exp x) (exp (- x))))) (* (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (sqrt 2)) (cbrt 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(/ (sqrt 2) (sqrt 1/2)) (* (* x x) (* x x))) 1/64)) (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) (+ (* (* x x) (- (* (* x x) 5/24) 1/2)) 1) (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))) 14.397 * * * [progress]: adding candidates to table 18.603 * [progress]: [Phase 3 of 3] Extracting. 18.603 * * [regime]: Finding splitpoints for: (# #) 18.603 * * * [regime-changes]: Trying 3 branch expressions: ((+ (exp x) (exp (- x))) (/ 2 (+ (exp x) (exp (- x)))) x) 18.603 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# #) 18.643 * * * * [regimes]: Trying to branch on (/ 2 (+ (exp x) (exp (- x)))) from (# #) 18.686 * * * * [regimes]: Trying to branch on x from (# #) 18.720 * * * [regime]: Found split indices: #