28.075 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [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 # 0.021 * [simplify]: Simplifying: (/ 2 (+ (exp x) (exp (- x)))) 0.021 * * [simplify]: iteration 0: 7 enodes 0.022 * * [simplify]: iteration 1: 10 enodes 0.023 * * [simplify]: iteration 2: 12 enodes 0.025 * * [simplify]: iteration complete: 12 enodes 0.025 * * [simplify]: Extracting #0: cost 1 inf + 0 0.025 * * [simplify]: Extracting #1: cost 3 inf + 0 0.025 * * [simplify]: Extracting #2: cost 4 inf + 1 0.025 * * [simplify]: Extracting #3: cost 7 inf + 1 0.025 * * [simplify]: Extracting #4: cost 0 inf + 709 0.025 * [simplify]: Simplified to: (/ 2 (+ (exp x) (exp (- x)))) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.063 * * * [progress]: generating series expansions 0.063 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.064 * [backup-simplify]: Simplify (/ 2 (+ (exp x) (exp (- x)))) into (/ 2 (+ (exp x) (exp (- x)))) 0.064 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in (x) around 0 0.064 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x 0.064 * [taylor]: Taking taylor expansion of 2 in x 0.064 * [backup-simplify]: Simplify 2 into 2 0.064 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.064 * [taylor]: Taking taylor expansion of (exp x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (exp 0) into 1 0.064 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.064 * [taylor]: Taking taylor expansion of (- x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (- 1) into -1 0.072 * [backup-simplify]: Simplify (exp 0) into 1 0.072 * [backup-simplify]: Simplify (+ 1 1) into 2 0.073 * [backup-simplify]: Simplify (/ 2 2) into 1 0.073 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x 0.073 * [taylor]: Taking taylor expansion of 2 in x 0.073 * [backup-simplify]: Simplify 2 into 2 0.073 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.073 * [taylor]: Taking taylor expansion of (exp x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (exp 0) into 1 0.073 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.073 * [taylor]: Taking taylor expansion of (- x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify (- 1) into -1 0.074 * [backup-simplify]: Simplify (exp 0) into 1 0.074 * [backup-simplify]: Simplify (+ 1 1) into 2 0.075 * [backup-simplify]: Simplify (/ 2 2) into 1 0.075 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.077 * [backup-simplify]: Simplify (- 1) into -1 0.078 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.078 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.079 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.081 * [backup-simplify]: Simplify (- 1) into -1 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.083 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.084 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 0.084 * [backup-simplify]: Simplify -1/2 into -1/2 0.086 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.086 * [backup-simplify]: Simplify (- 1) into -1 0.086 * [backup-simplify]: Simplify (- 1) into -1 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.089 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.091 * [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 0.092 * [backup-simplify]: Simplify (- 1) into -1 0.092 * [backup-simplify]: Simplify (- 1) into -1 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (- 1) into -1 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [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 0.096 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.097 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 0.097 * [backup-simplify]: Simplify 5/24 into 5/24 0.097 * [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))) 0.097 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.097 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.097 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.097 * [taylor]: Taking taylor expansion of 2 in x 0.097 * [backup-simplify]: Simplify 2 into 2 0.097 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.097 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.097 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.097 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 1) into 1 0.098 * [backup-simplify]: Simplify (- 1) into -1 0.098 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.098 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.098 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.098 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.098 * [taylor]: Taking taylor expansion of 2 in x 0.098 * [backup-simplify]: Simplify 2 into 2 0.098 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.098 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 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 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.099 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.099 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [backup-simplify]: Simplify (- 1) into -1 0.099 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.100 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.100 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.100 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [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 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [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 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [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 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [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 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [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 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [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 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2 (+ (exp x) (exp (- x)))) 0.107 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.107 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.107 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.107 * [taylor]: Taking taylor expansion of 2 in x 0.107 * [backup-simplify]: Simplify 2 into 2 0.107 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.107 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.107 * [taylor]: Taking taylor expansion of -1 in x 0.107 * [backup-simplify]: Simplify -1 into -1 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ -1 1) into -1 0.108 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.108 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.108 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.108 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.108 * [taylor]: Taking taylor expansion of 2 in x 0.108 * [backup-simplify]: Simplify 2 into 2 0.108 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.108 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.109 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.109 * [taylor]: Taking taylor expansion of -1 in x 0.109 * [backup-simplify]: Simplify -1 into -1 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ -1 1) into -1 0.110 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.110 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.110 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.110 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [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 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [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 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [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 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [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 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [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 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [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 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x))) 0.117 * * * [progress]: simplifying candidates 0.117 * * * * [progress]: [ 1 / 37 ] simplifiying candidate # 0.117 * * * * [progress]: [ 2 / 37 ] simplifiying candidate # 0.117 * * * * [progress]: [ 3 / 37 ] simplifiying candidate # 0.117 * * * * [progress]: [ 4 / 37 ] simplifiying candidate # 0.117 * * * * [progress]: [ 5 / 37 ] simplifiying candidate # 0.117 * * * * [progress]: [ 6 / 37 ] simplifiying candidate # 0.117 * * * * [progress]: [ 7 / 37 ] simplifiying candidate # 0.117 * * * * [progress]: [ 8 / 37 ] simplifiying candidate # 0.117 * * * * [progress]: [ 9 / 37 ] simplifiying candidate # 0.117 * * * * [progress]: [ 10 / 37 ] simplifiying candidate # 0.117 * * * * [progress]: [ 11 / 37 ] simplifiying candidate # 0.117 * * * * [progress]: [ 12 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 13 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 14 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 15 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 16 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 17 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 18 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 19 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 20 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 21 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 22 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 23 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 24 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 25 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 26 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 27 / 37 ] simplifiying candidate # 0.118 * * * * [progress]: [ 28 / 37 ] simplifiying candidate # 0.119 * * * * [progress]: [ 29 / 37 ] simplifiying candidate # 0.119 * * * * [progress]: [ 30 / 37 ] simplifiying candidate # 0.119 * * * * [progress]: [ 31 / 37 ] simplifiying candidate # 0.119 * * * * [progress]: [ 32 / 37 ] simplifiying candidate # 0.119 * * * * [progress]: [ 33 / 37 ] simplifiying candidate # 0.119 * * * * [progress]: [ 34 / 37 ] simplifiying candidate #real (real->posit16 (/ 2 (+ (exp x) (exp (- x)))))))> 0.119 * * * * [progress]: [ 35 / 37 ] simplifiying candidate # 0.119 * * * * [progress]: [ 36 / 37 ] simplifiying candidate # 0.119 * * * * [progress]: [ 37 / 37 ] simplifiying candidate # 0.120 * [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))) 0.121 * * [simplify]: iteration 0: 77 enodes 0.153 * * [simplify]: iteration 1: 174 enodes 0.234 * * [simplify]: iteration 2: 454 enodes 0.461 * * [simplify]: iteration 3: 1440 enodes 0.805 * * [simplify]: iteration 4: 2008 enodes 1.188 * * [simplify]: iteration complete: 2008 enodes 1.188 * * [simplify]: Extracting #0: cost 36 inf + 0 1.188 * * [simplify]: Extracting #1: cost 139 inf + 44 1.189 * * [simplify]: Extracting #2: cost 281 inf + 951 1.191 * * [simplify]: Extracting #3: cost 582 inf + 7056 1.207 * * [simplify]: Extracting #4: cost 261 inf + 77252 1.233 * * [simplify]: Extracting #5: cost 5 inf + 131717 1.256 * * [simplify]: Extracting #6: cost 1 inf + 130924 1.283 * * [simplify]: Extracting #7: cost 0 inf + 131206 1.302 * [simplify]: Simplified to: (log (/ 2 (+ (exp x) (exp (- x))))) (log (/ 2 (+ (exp x) (exp (- x))))) (exp (/ 2 (+ (exp x) (exp (- x))))) (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x))))) (* (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 (- (/ -1 (exp x)) (exp x)) (* (/ (cbrt 2) (cbrt (+ (exp x) (exp (- x))))) (/ (cbrt 2) (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)) (/ (cbrt 2) (+ (exp x) (exp (- x)))) (* (cbrt 2) (cbrt 2)) (/ (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) (/ (sqrt 2) (+ (exp x) (exp (- x)))) (sqrt 2) (/ (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 (/ 2 (+ (exp x) (exp (- x)))) 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 2 (/ (+ (exp x) (exp (- x))) (cbrt 2)) (/ (+ (exp x) (exp (- x))) (sqrt 2)) (/ (+ (exp x) (exp (- x))) 2) (/ 2 (+ (exp (- (* -2 x) x)) (exp (+ (+ x x) x)))) (/ 2 (- (* (exp x) (exp x)) (exp (* -2 x)))) (real->posit16 (/ 2 (+ (exp x) (exp (- x))))) (+ (+ (* (* (* x x) (* x x)) 5/24) 1) (* (* x x) -1/2)) (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))) 1.304 * * * [progress]: adding candidates to table 1.563 * * [progress]: iteration 2 / 4 1.563 * * * [progress]: picking best candidate 1.571 * * * * [pick]: Picked # 1.571 * * * [progress]: localizing error 1.593 * * * [progress]: generating rewritten candidates 1.593 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.614 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.631 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.723 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.757 * * * [progress]: generating series expansions 1.757 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.757 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 1.758 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 1.758 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 1.758 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.758 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.758 * [taylor]: Taking taylor expansion of (exp x) in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (exp 0) into 1 1.758 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.758 * [taylor]: Taking taylor expansion of (- x) in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (- 0) into 0 1.758 * [backup-simplify]: Simplify (- 1) into -1 1.758 * [backup-simplify]: Simplify (exp 0) into 1 1.758 * [backup-simplify]: Simplify (+ 1 1) into 2 1.759 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.759 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.760 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.760 * [backup-simplify]: Simplify (- 1) into -1 1.760 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.761 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.761 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 1.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.762 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.762 * [taylor]: Taking taylor expansion of 2 in x 1.762 * [backup-simplify]: Simplify 2 into 2 1.762 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.762 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 1.762 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 1.762 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.762 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.762 * [taylor]: Taking taylor expansion of (exp x) in x 1.762 * [taylor]: Taking taylor expansion of x in x 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [backup-simplify]: Simplify (exp 0) into 1 1.762 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.762 * [taylor]: Taking taylor expansion of (- x) in x 1.762 * [taylor]: Taking taylor expansion of x in x 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (- 0) into 0 1.763 * [backup-simplify]: Simplify (- 1) into -1 1.763 * [backup-simplify]: Simplify (exp 0) into 1 1.763 * [backup-simplify]: Simplify (+ 1 1) into 2 1.763 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.764 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.764 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.765 * [backup-simplify]: Simplify (- 1) into -1 1.765 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.765 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.766 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 1.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.766 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.766 * [taylor]: Taking taylor expansion of 2 in x 1.766 * [backup-simplify]: Simplify 2 into 2 1.767 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.768 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 1.769 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 1.769 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 1.769 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.771 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.771 * [backup-simplify]: Simplify (- 1) into -1 1.771 * [backup-simplify]: Simplify (- 0) into 0 1.772 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.772 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.773 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 1.775 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 1.779 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 1.782 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 1.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.785 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.786 * [backup-simplify]: Simplify (- 1) into -1 1.786 * [backup-simplify]: Simplify (- 1) into -1 1.786 * [backup-simplify]: Simplify (- 0) into 0 1.787 * [backup-simplify]: Simplify (- 0) into 0 1.789 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.789 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 1.791 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 1.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 1.794 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.797 * [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 1.797 * [backup-simplify]: Simplify (- 1) into -1 1.797 * [backup-simplify]: Simplify (- 1) into -1 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.798 * [backup-simplify]: Simplify (- 1) into -1 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.799 * [backup-simplify]: Simplify (- 0) into 0 1.801 * [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 1.801 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.802 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 1.806 * [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))) 1.827 * [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)))) 1.833 * [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)))) 1.844 * [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))))) 1.845 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.845 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 1.845 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.845 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.845 * [taylor]: Taking taylor expansion of 2 in x 1.845 * [backup-simplify]: Simplify 2 into 2 1.845 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.846 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.846 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.846 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.846 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.846 * [taylor]: Taking taylor expansion of x in x 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [backup-simplify]: Simplify (/ 1 1) into 1 1.847 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.847 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.847 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [backup-simplify]: Simplify (/ 1 1) into 1 1.847 * [backup-simplify]: Simplify (- 1) into -1 1.847 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.848 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.848 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.848 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1.848 * [backup-simplify]: Simplify (+ 0 0) into 0 1.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.849 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.849 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.849 * [taylor]: Taking taylor expansion of 2 in x 1.849 * [backup-simplify]: Simplify 2 into 2 1.849 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.850 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.850 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.850 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.850 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.850 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.850 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.850 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (/ 1 1) into 1 1.855 * [backup-simplify]: Simplify (- 1) into -1 1.855 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.855 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.855 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.855 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.857 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.857 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.858 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify (+ 0 0) into 0 1.859 * [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 1.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.861 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify (+ 0 0) into 0 1.862 * [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 1.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.865 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 1.865 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [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 1.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.868 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.870 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [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 1.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.875 * [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 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.876 * [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 1.877 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.878 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.880 * [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 1.880 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 1.881 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.881 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 1.882 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.882 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.882 * [taylor]: Taking taylor expansion of 2 in x 1.882 * [backup-simplify]: Simplify 2 into 2 1.882 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.883 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.883 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.883 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.883 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.883 * [taylor]: Taking taylor expansion of -1 in x 1.883 * [backup-simplify]: Simplify -1 into -1 1.883 * [taylor]: Taking taylor expansion of x in x 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (/ -1 1) into -1 1.884 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.884 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.884 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.884 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1.885 * [backup-simplify]: Simplify (+ 0 0) into 0 1.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.885 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.885 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.885 * [taylor]: Taking taylor expansion of 2 in x 1.885 * [backup-simplify]: Simplify 2 into 2 1.886 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.886 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.886 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.887 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.887 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.887 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.887 * [taylor]: Taking taylor expansion of -1 in x 1.887 * [backup-simplify]: Simplify -1 into -1 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ -1 1) into -1 1.888 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.888 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.888 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.888 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1.888 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.889 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.890 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.891 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [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 1.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.893 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.894 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.895 * [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 1.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.898 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 1.898 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [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 1.900 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.902 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.904 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (+ 0 0) into 0 1.905 * [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 1.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.909 * [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 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [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 1.910 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.911 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.913 * [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 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [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))))) 1.913 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.914 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 1.914 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 1.914 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 1.914 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.914 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.914 * [taylor]: Taking taylor expansion of (exp x) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (exp 0) into 1 1.914 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.914 * [taylor]: Taking taylor expansion of (- x) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (- 0) into 0 1.914 * [backup-simplify]: Simplify (- 1) into -1 1.914 * [backup-simplify]: Simplify (exp 0) into 1 1.914 * [backup-simplify]: Simplify (+ 1 1) into 2 1.915 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.915 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.916 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.916 * [backup-simplify]: Simplify (- 1) into -1 1.916 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.917 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.917 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 1.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.918 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.918 * [taylor]: Taking taylor expansion of 2 in x 1.918 * [backup-simplify]: Simplify 2 into 2 1.918 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.918 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 1.918 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 1.918 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.918 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.918 * [taylor]: Taking taylor expansion of (exp x) in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (exp 0) into 1 1.918 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.919 * [taylor]: Taking taylor expansion of (- x) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (- 0) into 0 1.919 * [backup-simplify]: Simplify (- 1) into -1 1.919 * [backup-simplify]: Simplify (exp 0) into 1 1.919 * [backup-simplify]: Simplify (+ 1 1) into 2 1.920 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.920 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.920 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.921 * [backup-simplify]: Simplify (- 1) into -1 1.921 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.921 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.922 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 1.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.922 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.922 * [taylor]: Taking taylor expansion of 2 in x 1.922 * [backup-simplify]: Simplify 2 into 2 1.923 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.924 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 1.925 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 1.925 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.927 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.927 * [backup-simplify]: Simplify (- 1) into -1 1.927 * [backup-simplify]: Simplify (- 0) into 0 1.928 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.928 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.929 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 1.931 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 1.934 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 1.936 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 1.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.938 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.938 * [backup-simplify]: Simplify (- 1) into -1 1.938 * [backup-simplify]: Simplify (- 1) into -1 1.938 * [backup-simplify]: Simplify (- 0) into 0 1.939 * [backup-simplify]: Simplify (- 0) into 0 1.940 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.940 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 1.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 1.943 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 1.943 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.946 * [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 1.946 * [backup-simplify]: Simplify (- 1) into -1 1.946 * [backup-simplify]: Simplify (- 1) into -1 1.946 * [backup-simplify]: Simplify (- 0) into 0 1.947 * [backup-simplify]: Simplify (- 1) into -1 1.947 * [backup-simplify]: Simplify (- 0) into 0 1.947 * [backup-simplify]: Simplify (- 0) into 0 1.947 * [backup-simplify]: Simplify (- 0) into 0 1.950 * [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 1.950 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.951 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 1.956 * [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))) 1.969 * [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)))) 1.976 * [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)))) 1.988 * [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))))) 1.989 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.989 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 1.989 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.989 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.989 * [taylor]: Taking taylor expansion of 2 in x 1.989 * [backup-simplify]: Simplify 2 into 2 1.990 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.990 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.990 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.990 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (/ 1 1) into 1 1.991 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.991 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.991 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.991 * [taylor]: Taking taylor expansion of x in x 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [backup-simplify]: Simplify (- 1) into -1 1.992 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.992 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.992 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.992 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.993 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.994 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.994 * [taylor]: Taking taylor expansion of 2 in x 1.994 * [backup-simplify]: Simplify 2 into 2 1.994 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.995 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.995 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.995 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (/ 1 1) into 1 1.995 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.995 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.995 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (/ 1 1) into 1 1.996 * [backup-simplify]: Simplify (- 1) into -1 1.996 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.996 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.997 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.997 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.998 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.999 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 2.000 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [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 2.002 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.003 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.004 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [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 2.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.007 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.008 * [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 2.009 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.010 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.012 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [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 2.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.017 * [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 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [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 2.019 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 2.021 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.023 * [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 2.023 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 2.024 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 2.024 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 2.024 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 2.024 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.024 * [taylor]: Taking taylor expansion of 2 in x 2.025 * [backup-simplify]: Simplify 2 into 2 2.025 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.026 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 2.026 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.026 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.026 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (/ 1 1) into 1 2.026 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.026 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.026 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.026 * [taylor]: Taking taylor expansion of -1 in x 2.026 * [backup-simplify]: Simplify -1 into -1 2.026 * [taylor]: Taking taylor expansion of x in x 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ -1 1) into -1 2.027 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.027 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.027 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.027 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 2.028 * [backup-simplify]: Simplify (+ 0 0) into 0 2.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.028 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 2.028 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.028 * [taylor]: Taking taylor expansion of 2 in x 2.028 * [backup-simplify]: Simplify 2 into 2 2.028 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.029 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.029 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.030 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.030 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.030 * [taylor]: Taking taylor expansion of -1 in x 2.030 * [backup-simplify]: Simplify -1 into -1 2.030 * [taylor]: Taking taylor expansion of x in x 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (/ -1 1) into -1 2.030 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.030 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.031 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.031 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 2.031 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.032 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 2.033 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 2.033 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.034 * [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 2.035 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.036 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.037 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify (+ 0 0) into 0 2.038 * [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 2.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.041 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [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 2.043 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.044 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.046 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (+ 0 0) into 0 2.047 * [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 2.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.051 * [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 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.052 * [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 2.053 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 2.054 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.057 * [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 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [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))))) 2.057 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.058 * [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)))) 2.058 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in (x) around 0 2.058 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in x 2.058 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.058 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.058 * [taylor]: Taking taylor expansion of 2 in x 2.059 * [backup-simplify]: Simplify 2 into 2 2.059 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.059 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.060 * [taylor]: Taking taylor expansion of (exp x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (exp 0) into 1 2.060 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.060 * [taylor]: Taking taylor expansion of (- x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (- 0) into 0 2.060 * [backup-simplify]: Simplify (- 1) into -1 2.060 * [backup-simplify]: Simplify (exp 0) into 1 2.062 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 2.062 * [backup-simplify]: Simplify (+ 1 1) into 2 2.063 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 2) into (* 1/2 (pow (sqrt 2) 2)) 2.063 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in x 2.063 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.063 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.063 * [taylor]: Taking taylor expansion of 2 in x 2.063 * [backup-simplify]: Simplify 2 into 2 2.064 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.064 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.064 * [taylor]: Taking taylor expansion of (exp x) in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (exp 0) into 1 2.064 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.064 * [taylor]: Taking taylor expansion of (- x) in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.064 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (- 0) into 0 2.065 * [backup-simplify]: Simplify (- 1) into -1 2.065 * [backup-simplify]: Simplify (exp 0) into 1 2.066 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 2.066 * [backup-simplify]: Simplify (+ 1 1) into 2 2.067 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 2) into (* 1/2 (pow (sqrt 2) 2)) 2.068 * [backup-simplify]: Simplify (* 1/2 (pow (sqrt 2) 2)) into (* 1/2 (pow (sqrt 2) 2)) 2.068 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 2.069 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.069 * [backup-simplify]: Simplify (- 1) into -1 2.070 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 2.070 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.071 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 0 2)))) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.073 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 2.074 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.075 * [backup-simplify]: Simplify (- 1) into -1 2.075 * [backup-simplify]: Simplify (- 0) into 0 2.076 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.076 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 2.080 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 1 2)) (* 0 (/ 0 2)))) into (- (* 1/4 (pow (sqrt 2) 2))) 2.081 * [backup-simplify]: Simplify (- (* 1/4 (pow (sqrt 2) 2))) into (- (* 1/4 (pow (sqrt 2) 2))) 2.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.083 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 2.084 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 2.084 * [backup-simplify]: Simplify (- 1) into -1 2.084 * [backup-simplify]: Simplify (- 1) into -1 2.085 * [backup-simplify]: Simplify (- 0) into 0 2.085 * [backup-simplify]: Simplify (- 0) into 0 2.086 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 2.087 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 2.088 * [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 2.088 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.090 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 2.092 * [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 2.092 * [backup-simplify]: Simplify (- 1) into -1 2.093 * [backup-simplify]: Simplify (- 1) into -1 2.093 * [backup-simplify]: Simplify (- 0) into 0 2.093 * [backup-simplify]: Simplify (- 1) into -1 2.093 * [backup-simplify]: Simplify (- 0) into 0 2.094 * [backup-simplify]: Simplify (- 0) into 0 2.094 * [backup-simplify]: Simplify (- 0) into 0 2.096 * [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 2.096 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 2.104 * [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)) 2.105 * [backup-simplify]: Simplify (* 5/48 (pow (sqrt 2) 2)) into (* 5/48 (pow (sqrt 2) 2)) 2.109 * [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)))) 2.109 * [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))))) 2.109 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 2.109 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.109 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.109 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.110 * [taylor]: Taking taylor expansion of 2 in x 2.110 * [backup-simplify]: Simplify 2 into 2 2.110 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.110 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.110 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.110 * [taylor]: Taking taylor expansion of x in x 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.111 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.111 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [backup-simplify]: Simplify (- 1) into -1 2.111 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 2.112 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 2.112 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.113 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.113 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.113 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.113 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.113 * [taylor]: Taking taylor expansion of 2 in x 2.113 * [backup-simplify]: Simplify 2 into 2 2.113 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.113 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.113 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (/ 1 1) into 1 2.114 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.114 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.114 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (/ 1 1) into 1 2.114 * [backup-simplify]: Simplify (- 1) into -1 2.114 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 2.115 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 2.115 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.116 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.116 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.117 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.118 * [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 2.118 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.119 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 2.119 * [backup-simplify]: Simplify (+ 0 0) into 0 2.120 * [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 2.120 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.122 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 2.122 * [backup-simplify]: Simplify (+ 0 0) into 0 2.123 * [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 2.123 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.124 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 2.125 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [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 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.127 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.128 * [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 2.128 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.130 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [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 2.131 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) 2.133 * [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)))) 2.133 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 2.133 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.133 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.133 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.133 * [taylor]: Taking taylor expansion of 2 in x 2.133 * [backup-simplify]: Simplify 2 into 2 2.133 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.134 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.134 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (/ 1 1) into 1 2.134 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.134 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.134 * [taylor]: Taking taylor expansion of -1 in x 2.134 * [backup-simplify]: Simplify -1 into -1 2.134 * [taylor]: Taking taylor expansion of x in x 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (/ -1 1) into -1 2.135 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.136 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 2.136 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.137 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.137 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.137 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.137 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.137 * [taylor]: Taking taylor expansion of 2 in x 2.137 * [backup-simplify]: Simplify 2 into 2 2.138 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.138 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.138 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.138 * [taylor]: Taking taylor expansion of x in x 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [backup-simplify]: Simplify (/ 1 1) into 1 2.138 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.138 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.138 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.138 * [taylor]: Taking taylor expansion of -1 in x 2.138 * [backup-simplify]: Simplify -1 into -1 2.138 * [taylor]: Taking taylor expansion of x in x 2.138 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (/ -1 1) into -1 2.139 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.140 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 2.140 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.140 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.141 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.141 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 2.142 * [backup-simplify]: Simplify (+ 0 0) into 0 2.142 * [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 2.142 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.143 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 2.144 * [backup-simplify]: Simplify (+ 0 0) into 0 2.145 * [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 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.146 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 2.146 * [backup-simplify]: Simplify (+ 0 0) into 0 2.147 * [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 2.147 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.149 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 2.149 * [backup-simplify]: Simplify (+ 0 0) into 0 2.150 * [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 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.151 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 2.151 * [backup-simplify]: Simplify (+ 0 0) into 0 2.152 * [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 2.152 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.154 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 2.154 * [backup-simplify]: Simplify (+ 0 0) into 0 2.156 * [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 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [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))) 2.156 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.157 * [backup-simplify]: Simplify (sqrt (+ (exp x) (exp (- x)))) into (sqrt (+ (exp x) (exp (- x)))) 2.157 * [approximate]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in (x) around 0 2.157 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 2.157 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.157 * [taylor]: Taking taylor expansion of (exp x) in x 2.157 * [taylor]: Taking taylor expansion of x in x 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [backup-simplify]: Simplify (exp 0) into 1 2.157 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.157 * [taylor]: Taking taylor expansion of (- x) in x 2.157 * [taylor]: Taking taylor expansion of x in x 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [backup-simplify]: Simplify (- 0) into 0 2.159 * [backup-simplify]: Simplify (- 1) into -1 2.159 * [backup-simplify]: Simplify (exp 0) into 1 2.159 * [backup-simplify]: Simplify (+ 1 1) into 2 2.159 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.160 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.160 * [backup-simplify]: Simplify (- 1) into -1 2.161 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 2.162 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.162 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 2.162 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.162 * [taylor]: Taking taylor expansion of (exp x) in x 2.162 * [taylor]: Taking taylor expansion of x in x 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.162 * [backup-simplify]: Simplify (exp 0) into 1 2.162 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.162 * [taylor]: Taking taylor expansion of (- x) in x 2.162 * [taylor]: Taking taylor expansion of x in x 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.162 * [backup-simplify]: Simplify (- 0) into 0 2.163 * [backup-simplify]: Simplify (- 1) into -1 2.163 * [backup-simplify]: Simplify (exp 0) into 1 2.163 * [backup-simplify]: Simplify (+ 1 1) into 2 2.163 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.164 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.164 * [backup-simplify]: Simplify (- 1) into -1 2.165 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 2.165 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.165 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.167 * [backup-simplify]: Simplify (- 1) into -1 2.167 * [backup-simplify]: Simplify (- 0) into 0 2.168 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.168 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 2.170 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 2.170 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 2.171 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 2.172 * [backup-simplify]: Simplify (- 1) into -1 2.172 * [backup-simplify]: Simplify (- 1) into -1 2.172 * [backup-simplify]: Simplify (- 0) into 0 2.172 * [backup-simplify]: Simplify (- 0) into 0 2.174 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 2.174 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 2.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.177 * [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 2.178 * [backup-simplify]: Simplify (- 1) into -1 2.178 * [backup-simplify]: Simplify (- 1) into -1 2.178 * [backup-simplify]: Simplify (- 0) into 0 2.179 * [backup-simplify]: Simplify (- 1) into -1 2.179 * [backup-simplify]: Simplify (- 0) into 0 2.179 * [backup-simplify]: Simplify (- 0) into 0 2.179 * [backup-simplify]: Simplify (- 0) into 0 2.182 * [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 2.182 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 2.185 * [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))) 2.189 * [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))) 2.194 * [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)))) 2.194 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.194 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 2.194 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.194 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.194 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.194 * [taylor]: Taking taylor expansion of x in x 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (/ 1 1) into 1 2.194 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.194 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.194 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.195 * [taylor]: Taking taylor expansion of x in x 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [backup-simplify]: Simplify (/ 1 1) into 1 2.195 * [backup-simplify]: Simplify (- 1) into -1 2.195 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 2.195 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.195 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.196 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.196 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.196 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.196 * [taylor]: Taking taylor expansion of x in x 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify (/ 1 1) into 1 2.196 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.196 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.196 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.196 * [taylor]: Taking taylor expansion of x in x 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify (/ 1 1) into 1 2.197 * [backup-simplify]: Simplify (- 1) into -1 2.197 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 2.197 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.197 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.197 * [backup-simplify]: Simplify (+ 0 0) into 0 2.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.198 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (+ 0 0) into 0 2.199 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify (+ 0 0) into 0 2.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify (+ 0 0) into 0 2.201 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify (+ 0 0) into 0 2.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (+ 0 0) into 0 2.204 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (sqrt (+ (exp x) (exp (- x)))) 2.204 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.204 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 2.204 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.205 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.205 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.205 * [taylor]: Taking taylor expansion of x in x 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify (/ 1 1) into 1 2.205 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.205 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.205 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.205 * [taylor]: Taking taylor expansion of -1 in x 2.205 * [backup-simplify]: Simplify -1 into -1 2.205 * [taylor]: Taking taylor expansion of x in x 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.206 * [backup-simplify]: Simplify (/ -1 1) into -1 2.206 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.206 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.206 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.206 * [backup-simplify]: Simplify (+ 0 0) into 0 2.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.206 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.207 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.207 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.207 * [taylor]: Taking taylor expansion of x in x 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 1 into 1 2.207 * [backup-simplify]: Simplify (/ 1 1) into 1 2.207 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.207 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.207 * [taylor]: Taking taylor expansion of -1 in x 2.207 * [backup-simplify]: Simplify -1 into -1 2.207 * [taylor]: Taking taylor expansion of x in x 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 1 into 1 2.208 * [backup-simplify]: Simplify (/ -1 1) into -1 2.208 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.208 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.208 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.209 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (+ 0 0) into 0 2.210 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify (+ 0 0) into 0 2.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.211 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify (+ 0 0) into 0 2.213 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify (+ 0 0) into 0 2.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify (+ 0 0) into 0 2.215 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (sqrt (+ (exp (* -1 x)) (exp x))) 2.216 * * * [progress]: simplifying candidates 2.216 * * * * [progress]: [ 1 / 413 ] simplifiying candidate # 2.216 * * * * [progress]: [ 2 / 413 ] simplifiying candidate # 2.216 * * * * [progress]: [ 3 / 413 ] simplifiying candidate # 2.216 * * * * [progress]: [ 4 / 413 ] simplifiying candidate # 2.216 * * * * [progress]: [ 5 / 413 ] simplifiying candidate # 2.216 * * * * [progress]: [ 6 / 413 ] simplifiying candidate # 2.216 * * * * [progress]: [ 7 / 413 ] simplifiying candidate # 2.216 * * * * [progress]: [ 8 / 413 ] simplifiying candidate # 2.216 * * * * [progress]: [ 9 / 413 ] simplifiying candidate # 2.216 * * * * [progress]: [ 10 / 413 ] simplifiying candidate # 2.216 * * * * [progress]: [ 11 / 413 ] simplifiying candidate # 2.216 * * * * [progress]: [ 12 / 413 ] simplifiying candidate # 2.217 * * * * [progress]: [ 13 / 413 ] simplifiying candidate # 2.217 * * * * [progress]: [ 14 / 413 ] simplifiying candidate # 2.217 * * * * [progress]: [ 15 / 413 ] simplifiying candidate # 2.217 * * * * [progress]: [ 16 / 413 ] simplifiying candidate # 2.217 * * * * [progress]: [ 17 / 413 ] simplifiying candidate # 2.217 * * * * [progress]: [ 18 / 413 ] simplifiying candidate # 2.217 * * * * [progress]: [ 19 / 413 ] simplifiying candidate # 2.217 * * * * [progress]: [ 20 / 413 ] simplifiying candidate # 2.217 * * * * [progress]: [ 21 / 413 ] simplifiying candidate # 2.217 * * * * [progress]: [ 22 / 413 ] simplifiying candidate # 2.217 * * * * [progress]: [ 23 / 413 ] simplifiying candidate # 2.217 * * * * [progress]: [ 24 / 413 ] simplifiying candidate # 2.217 * * * * [progress]: [ 25 / 413 ] simplifiying candidate # 2.217 * * * * [progress]: [ 26 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 27 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 28 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 29 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 30 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 31 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 32 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 33 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 34 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 35 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 36 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 37 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 38 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 39 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 40 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 41 / 413 ] simplifiying candidate # 2.218 * * * * [progress]: [ 42 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 43 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 44 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 45 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 46 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 47 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 48 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 49 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 50 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 51 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 52 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 53 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 54 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 55 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 56 / 413 ] simplifiying candidate # 2.219 * * * * [progress]: [ 57 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 58 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 59 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 60 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 61 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 62 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 63 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 64 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 65 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 66 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 67 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 68 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 69 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 70 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 71 / 413 ] simplifiying candidate #real (real->posit16 (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))))))> 2.220 * * * * [progress]: [ 72 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 73 / 413 ] simplifiying candidate # 2.220 * * * * [progress]: [ 74 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 75 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 76 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 77 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 78 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 79 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 80 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 81 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 82 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 83 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 84 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 85 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 86 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 87 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 88 / 413 ] simplifiying candidate # 2.221 * * * * [progress]: [ 89 / 413 ] simplifiying 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[progress]: [ 393 / 413 ] simplifiying candidate # 2.242 * * * * [progress]: [ 394 / 413 ] simplifiying candidate # 2.242 * * * * [progress]: [ 395 / 413 ] simplifiying candidate # 2.242 * * * * [progress]: [ 396 / 413 ] simplifiying candidate # 2.242 * * * * [progress]: [ 397 / 413 ] simplifiying candidate # 2.242 * * * * [progress]: [ 398 / 413 ] simplifiying candidate # 2.242 * * * * [progress]: [ 399 / 413 ] simplifiying candidate # 2.242 * * * * [progress]: [ 400 / 413 ] simplifiying candidate # 2.242 * * * * [progress]: [ 401 / 413 ] simplifiying candidate #real (real->posit16 (sqrt (+ (exp x) (exp (- x)))))))))> 2.242 * * * * [progress]: [ 402 / 413 ] simplifiying candidate # 2.242 * * * * [progress]: [ 403 / 413 ] simplifiying candidate # 2.242 * * * * [progress]: [ 404 / 413 ] simplifiying candidate # 2.242 * * * * [progress]: [ 405 / 413 ] simplifiying candidate # 2.243 * * * * [progress]: [ 406 / 413 ] simplifiying candidate # 2.243 * * * * [progress]: [ 407 / 413 ] simplifiying candidate # 2.243 * * * * [progress]: [ 408 / 413 ] simplifiying candidate # 2.243 * * * * [progress]: [ 409 / 413 ] simplifiying candidate # 2.243 * * * * [progress]: [ 410 / 413 ] simplifiying candidate # 2.243 * * * * [progress]: [ 411 / 413 ] simplifiying candidate # 2.243 * * * * [progress]: [ 412 / 413 ] simplifiying candidate # 2.243 * * * * [progress]: [ 413 / 413 ] simplifiying candidate # 2.251 * [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 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[simplify]: Extracting #8: cost 1 inf + 313066 3.191 * * [simplify]: Extracting #9: cost 0 inf + 313528 3.267 * [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)) (+ (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 (+ (exp x) (exp (- x)))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (cbrt (sqrt 2)) (cbrt (sqrt (+ 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x)))) 1/128)) (/ (* (* 1/8 (* x x)) (sqrt 2)) (sqrt 1/2))) (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) (- (+ 1 (* (* 5/24 (* x x)) (* x x))) (* 1/2 (* x x))) (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))) (+ (+ (sqrt 2) (* 1/2 (/ (* x x) (sqrt 2)))) (- (/ (* 1/24 (* (* x x) (* x x))) (sqrt 2)) (* (/ (* (* x x) (* x x)) (* 2 (sqrt 2))) 1/8))) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) 3.313 * * * [progress]: adding candidates to table 7.675 * * [progress]: iteration 3 / 4 7.675 * * * [progress]: picking best candidate 7.682 * * * * [pick]: Picked # 7.682 * * * [progress]: localizing error 7.740 * * * [progress]: generating rewritten candidates 7.740 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 7.758 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 7.784 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.819 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 8.007 * * * [progress]: generating series expansions 8.007 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 8.008 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 8.008 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 8.008 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 8.008 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 8.008 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 8.008 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.008 * [taylor]: Taking taylor expansion of (exp x) in x 8.008 * [taylor]: Taking taylor expansion of x in x 8.008 * [backup-simplify]: Simplify 0 into 0 8.008 * [backup-simplify]: Simplify 1 into 1 8.008 * [backup-simplify]: Simplify (exp 0) into 1 8.008 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.008 * [taylor]: Taking taylor expansion of (- x) in x 8.008 * [taylor]: Taking taylor expansion of x in x 8.008 * [backup-simplify]: Simplify 0 into 0 8.008 * [backup-simplify]: Simplify 1 into 1 8.008 * [backup-simplify]: Simplify (- 0) into 0 8.009 * [backup-simplify]: Simplify (- 1) into -1 8.009 * [backup-simplify]: Simplify (exp 0) into 1 8.009 * [backup-simplify]: Simplify (+ 1 1) into 2 8.009 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.009 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.010 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.010 * [backup-simplify]: Simplify (- 1) into -1 8.011 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 8.011 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.012 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 8.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.012 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.012 * [taylor]: Taking taylor expansion of 2 in x 8.012 * [backup-simplify]: Simplify 2 into 2 8.012 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.013 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 8.013 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 8.013 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 8.013 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.013 * [taylor]: Taking taylor expansion of (exp x) in x 8.013 * [taylor]: Taking taylor expansion of x in x 8.013 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify 1 into 1 8.013 * [backup-simplify]: Simplify (exp 0) into 1 8.013 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.013 * [taylor]: Taking taylor expansion of (- x) in x 8.013 * [taylor]: Taking taylor expansion of x in x 8.013 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify 1 into 1 8.013 * [backup-simplify]: Simplify (- 0) into 0 8.014 * [backup-simplify]: Simplify (- 1) into -1 8.014 * [backup-simplify]: Simplify (exp 0) into 1 8.014 * [backup-simplify]: Simplify (+ 1 1) into 2 8.014 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.014 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.015 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.015 * [backup-simplify]: Simplify (- 1) into -1 8.016 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 8.016 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.016 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 8.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.017 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.017 * [taylor]: Taking taylor expansion of 2 in x 8.017 * [backup-simplify]: Simplify 2 into 2 8.017 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.019 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 8.019 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 8.020 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 8.020 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.021 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.022 * [backup-simplify]: Simplify (- 1) into -1 8.022 * [backup-simplify]: Simplify (- 0) into 0 8.024 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.024 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 8.026 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 8.029 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 8.035 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 8.038 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 8.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.042 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 8.043 * [backup-simplify]: Simplify (- 1) into -1 8.043 * [backup-simplify]: Simplify (- 1) into -1 8.043 * [backup-simplify]: Simplify (- 0) into 0 8.044 * [backup-simplify]: Simplify (- 0) into 0 8.046 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 8.046 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 8.047 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 8.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 8.049 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 8.049 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.052 * [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 8.052 * [backup-simplify]: Simplify (- 1) into -1 8.053 * [backup-simplify]: Simplify (- 1) into -1 8.053 * [backup-simplify]: Simplify (- 0) into 0 8.053 * [backup-simplify]: Simplify (- 1) into -1 8.053 * [backup-simplify]: Simplify (- 0) into 0 8.054 * [backup-simplify]: Simplify (- 0) into 0 8.054 * [backup-simplify]: Simplify (- 0) into 0 8.056 * [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 8.056 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 8.057 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 8.061 * [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))) 8.083 * [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)))) 8.087 * [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)))) 8.094 * [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))))) 8.094 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.094 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 8.094 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 8.094 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.094 * [taylor]: Taking taylor expansion of 2 in x 8.094 * [backup-simplify]: Simplify 2 into 2 8.094 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.095 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 8.095 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.095 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.095 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.095 * [taylor]: Taking taylor expansion of x in x 8.095 * [backup-simplify]: Simplify 0 into 0 8.095 * [backup-simplify]: Simplify 1 into 1 8.095 * [backup-simplify]: Simplify (/ 1 1) into 1 8.095 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.095 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.095 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.095 * [taylor]: Taking taylor expansion of x in x 8.095 * [backup-simplify]: Simplify 0 into 0 8.095 * [backup-simplify]: Simplify 1 into 1 8.096 * [backup-simplify]: Simplify (/ 1 1) into 1 8.096 * [backup-simplify]: Simplify (- 1) into -1 8.096 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.096 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.096 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.096 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 8.096 * [backup-simplify]: Simplify (+ 0 0) into 0 8.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.097 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 8.097 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.097 * [taylor]: Taking taylor expansion of 2 in x 8.097 * [backup-simplify]: Simplify 2 into 2 8.097 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 8.097 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.097 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.097 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.098 * [taylor]: Taking taylor expansion of x in x 8.098 * [backup-simplify]: Simplify 0 into 0 8.098 * [backup-simplify]: Simplify 1 into 1 8.098 * [backup-simplify]: Simplify (/ 1 1) into 1 8.098 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.098 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.098 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.098 * [taylor]: Taking taylor expansion of x in x 8.098 * [backup-simplify]: Simplify 0 into 0 8.098 * [backup-simplify]: Simplify 1 into 1 8.098 * [backup-simplify]: Simplify (/ 1 1) into 1 8.098 * [backup-simplify]: Simplify (- 1) into -1 8.098 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.099 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.099 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.099 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 8.099 * [backup-simplify]: Simplify (+ 0 0) into 0 8.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.100 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.100 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.101 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.101 * [backup-simplify]: Simplify 0 into 0 8.101 * [backup-simplify]: Simplify (+ 0 0) into 0 8.101 * [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 8.102 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.107 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.108 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 8.108 * [backup-simplify]: Simplify 0 into 0 8.109 * [backup-simplify]: Simplify (+ 0 0) into 0 8.109 * [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 8.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.113 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 8.113 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify (+ 0 0) into 0 8.114 * [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 8.115 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.118 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify (+ 0 0) into 0 8.119 * [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 8.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.124 * [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 8.124 * [backup-simplify]: Simplify 0 into 0 8.124 * [backup-simplify]: Simplify (+ 0 0) into 0 8.125 * [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 8.126 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.127 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.128 * [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 8.128 * [backup-simplify]: Simplify 0 into 0 8.129 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 8.129 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.129 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 8.129 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 8.129 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.129 * [taylor]: Taking taylor expansion of 2 in x 8.129 * [backup-simplify]: Simplify 2 into 2 8.129 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.130 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 8.130 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 8.130 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 8.130 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.130 * [taylor]: Taking taylor expansion of x in x 8.130 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify 1 into 1 8.130 * [backup-simplify]: Simplify (/ 1 1) into 1 8.130 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.130 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 8.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.130 * [taylor]: Taking taylor expansion of -1 in x 8.130 * [backup-simplify]: Simplify -1 into -1 8.130 * [taylor]: Taking taylor expansion of x in x 8.130 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify 1 into 1 8.130 * [backup-simplify]: Simplify (/ -1 1) into -1 8.131 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 8.131 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 8.131 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.131 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 8.131 * [backup-simplify]: Simplify (+ 0 0) into 0 8.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.131 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 8.131 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.131 * [taylor]: Taking taylor expansion of 2 in x 8.131 * [backup-simplify]: Simplify 2 into 2 8.132 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 8.132 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 8.132 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 8.132 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.132 * [taylor]: Taking taylor expansion of x in x 8.132 * [backup-simplify]: Simplify 0 into 0 8.132 * [backup-simplify]: Simplify 1 into 1 8.132 * [backup-simplify]: Simplify (/ 1 1) into 1 8.132 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.132 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 8.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.133 * [taylor]: Taking taylor expansion of -1 in x 8.133 * [backup-simplify]: Simplify -1 into -1 8.133 * [taylor]: Taking taylor expansion of x in x 8.133 * [backup-simplify]: Simplify 0 into 0 8.133 * [backup-simplify]: Simplify 1 into 1 8.133 * [backup-simplify]: Simplify (/ -1 1) into -1 8.133 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 8.133 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 8.133 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.133 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 8.133 * [backup-simplify]: Simplify (+ 0 0) into 0 8.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.134 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.134 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.135 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.135 * [backup-simplify]: Simplify 0 into 0 8.135 * [backup-simplify]: Simplify (+ 0 0) into 0 8.135 * [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 8.136 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.137 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.137 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 8.137 * [backup-simplify]: Simplify 0 into 0 8.137 * [backup-simplify]: Simplify (+ 0 0) into 0 8.138 * [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))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.140 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 8.140 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify (+ 0 0) into 0 8.140 * [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 8.141 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.142 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.143 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 8.143 * [backup-simplify]: Simplify 0 into 0 8.143 * [backup-simplify]: Simplify (+ 0 0) into 0 8.144 * [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 8.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.146 * [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 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify (+ 0 0) into 0 8.147 * [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 8.148 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.148 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.150 * [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 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [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))))) 8.150 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 8.151 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 8.151 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 8.151 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 8.151 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 8.151 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 8.151 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.151 * [taylor]: Taking taylor expansion of (exp x) in x 8.151 * [taylor]: Taking taylor expansion of x in x 8.151 * [backup-simplify]: Simplify 0 into 0 8.151 * [backup-simplify]: Simplify 1 into 1 8.151 * [backup-simplify]: Simplify (exp 0) into 1 8.151 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.151 * [taylor]: Taking taylor expansion of (- x) in x 8.151 * [taylor]: Taking taylor expansion of x in x 8.151 * [backup-simplify]: Simplify 0 into 0 8.151 * [backup-simplify]: Simplify 1 into 1 8.151 * [backup-simplify]: Simplify (- 0) into 0 8.151 * [backup-simplify]: Simplify (- 1) into -1 8.151 * [backup-simplify]: Simplify (exp 0) into 1 8.152 * [backup-simplify]: Simplify (+ 1 1) into 2 8.152 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.152 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.153 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.153 * [backup-simplify]: Simplify (- 1) into -1 8.154 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 8.154 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.155 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 8.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.155 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.155 * [taylor]: Taking taylor expansion of 2 in x 8.155 * [backup-simplify]: Simplify 2 into 2 8.155 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.156 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 8.156 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 8.156 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 8.156 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.156 * [taylor]: Taking taylor expansion of (exp x) in x 8.156 * [taylor]: Taking taylor expansion of x in x 8.156 * [backup-simplify]: Simplify 0 into 0 8.156 * [backup-simplify]: Simplify 1 into 1 8.156 * [backup-simplify]: Simplify (exp 0) into 1 8.156 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.156 * [taylor]: Taking taylor expansion of (- x) in x 8.156 * [taylor]: Taking taylor expansion of x in x 8.156 * [backup-simplify]: Simplify 0 into 0 8.156 * [backup-simplify]: Simplify 1 into 1 8.156 * [backup-simplify]: Simplify (- 0) into 0 8.157 * [backup-simplify]: Simplify (- 1) into -1 8.157 * [backup-simplify]: Simplify (exp 0) into 1 8.157 * [backup-simplify]: Simplify (+ 1 1) into 2 8.157 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.158 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.159 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.159 * [backup-simplify]: Simplify (- 1) into -1 8.160 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 8.161 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.162 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 8.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.163 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.163 * [taylor]: Taking taylor expansion of 2 in x 8.163 * [backup-simplify]: Simplify 2 into 2 8.163 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.166 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 8.167 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 8.168 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 8.168 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.171 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.171 * [backup-simplify]: Simplify (- 1) into -1 8.172 * [backup-simplify]: Simplify (- 0) into 0 8.174 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.174 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 8.175 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 8.178 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 8.184 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 8.189 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 8.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.193 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 8.193 * [backup-simplify]: Simplify (- 1) into -1 8.194 * [backup-simplify]: Simplify (- 1) into -1 8.194 * [backup-simplify]: Simplify (- 0) into 0 8.195 * [backup-simplify]: Simplify (- 0) into 0 8.197 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 8.197 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 8.198 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 8.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 8.200 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.204 * [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 8.204 * [backup-simplify]: Simplify (- 1) into -1 8.204 * [backup-simplify]: Simplify (- 1) into -1 8.204 * [backup-simplify]: Simplify (- 0) into 0 8.205 * [backup-simplify]: Simplify (- 1) into -1 8.205 * [backup-simplify]: Simplify (- 0) into 0 8.205 * [backup-simplify]: Simplify (- 0) into 0 8.205 * [backup-simplify]: Simplify (- 0) into 0 8.207 * [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 8.208 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 8.209 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 8.212 * [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))) 8.233 * [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)))) 8.240 * [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)))) 8.253 * [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))))) 8.253 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.253 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 8.253 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 8.253 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.253 * [taylor]: Taking taylor expansion of 2 in x 8.253 * [backup-simplify]: Simplify 2 into 2 8.254 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.254 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 8.255 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.255 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.255 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.255 * [taylor]: Taking taylor expansion of x in x 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify 1 into 1 8.255 * [backup-simplify]: Simplify (/ 1 1) into 1 8.255 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.255 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.255 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.255 * [taylor]: Taking taylor expansion of x in x 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify 1 into 1 8.256 * [backup-simplify]: Simplify (/ 1 1) into 1 8.256 * [backup-simplify]: Simplify (- 1) into -1 8.256 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.256 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.256 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.257 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 8.257 * [backup-simplify]: Simplify (+ 0 0) into 0 8.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.258 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 8.258 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.258 * [taylor]: Taking taylor expansion of 2 in x 8.258 * [backup-simplify]: Simplify 2 into 2 8.258 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.259 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 8.259 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.259 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.259 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.259 * [taylor]: Taking taylor expansion of x in x 8.259 * [backup-simplify]: Simplify 0 into 0 8.259 * [backup-simplify]: Simplify 1 into 1 8.259 * [backup-simplify]: Simplify (/ 1 1) into 1 8.259 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.259 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.259 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.259 * [taylor]: Taking taylor expansion of x in x 8.259 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify 1 into 1 8.260 * [backup-simplify]: Simplify (/ 1 1) into 1 8.260 * [backup-simplify]: Simplify (- 1) into -1 8.260 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.260 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.261 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.261 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 8.261 * [backup-simplify]: Simplify (+ 0 0) into 0 8.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.262 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.263 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.264 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.264 * [backup-simplify]: Simplify 0 into 0 8.264 * [backup-simplify]: Simplify (+ 0 0) into 0 8.265 * [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 8.265 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.266 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.267 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 8.268 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify (+ 0 0) into 0 8.268 * [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 8.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.272 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 8.272 * [backup-simplify]: Simplify 0 into 0 8.272 * [backup-simplify]: Simplify (+ 0 0) into 0 8.273 * [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 8.274 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.277 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 8.277 * [backup-simplify]: Simplify 0 into 0 8.278 * [backup-simplify]: Simplify (+ 0 0) into 0 8.279 * [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 8.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.283 * [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 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify (+ 0 0) into 0 8.284 * [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 8.286 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.287 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.290 * [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 8.290 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 8.291 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.291 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 8.291 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 8.291 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.291 * [taylor]: Taking taylor expansion of 2 in x 8.291 * [backup-simplify]: Simplify 2 into 2 8.292 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.293 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 8.293 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 8.293 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 8.293 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.293 * [taylor]: Taking taylor expansion of x in x 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 1 into 1 8.293 * [backup-simplify]: Simplify (/ 1 1) into 1 8.293 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.293 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 8.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.293 * [taylor]: Taking taylor expansion of -1 in x 8.293 * [backup-simplify]: Simplify -1 into -1 8.293 * [taylor]: Taking taylor expansion of x in x 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 1 into 1 8.294 * [backup-simplify]: Simplify (/ -1 1) into -1 8.294 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 8.294 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 8.294 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.294 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 8.295 * [backup-simplify]: Simplify (+ 0 0) into 0 8.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.295 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 8.295 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.295 * [taylor]: Taking taylor expansion of 2 in x 8.295 * [backup-simplify]: Simplify 2 into 2 8.296 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.296 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 8.296 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 8.296 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 8.297 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.297 * [taylor]: Taking taylor expansion of x in x 8.297 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify 1 into 1 8.297 * [backup-simplify]: Simplify (/ 1 1) into 1 8.297 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.297 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 8.297 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.297 * [taylor]: Taking taylor expansion of -1 in x 8.297 * [backup-simplify]: Simplify -1 into -1 8.297 * [taylor]: Taking taylor expansion of x in x 8.297 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify 1 into 1 8.298 * [backup-simplify]: Simplify (/ -1 1) into -1 8.298 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 8.298 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 8.298 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.298 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 8.299 * [backup-simplify]: Simplify (+ 0 0) into 0 8.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.300 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.301 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.301 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.301 * [backup-simplify]: Simplify 0 into 0 8.302 * [backup-simplify]: Simplify (+ 0 0) into 0 8.302 * [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 8.303 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.304 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.305 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 8.305 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify (+ 0 0) into 0 8.306 * [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 8.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.310 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify (+ 0 0) into 0 8.311 * [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 8.312 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.314 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.315 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 8.315 * [backup-simplify]: Simplify 0 into 0 8.316 * [backup-simplify]: Simplify (+ 0 0) into 0 8.316 * [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 8.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.321 * [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 8.321 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify (+ 0 0) into 0 8.322 * [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 8.323 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.324 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.327 * [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 8.327 * [backup-simplify]: Simplify 0 into 0 8.327 * [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))))) 8.327 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 8.328 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 8.328 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 8.328 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 8.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 8.328 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 8.328 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.328 * [taylor]: Taking taylor expansion of (exp x) in x 8.328 * [taylor]: Taking taylor expansion of x in x 8.328 * [backup-simplify]: Simplify 0 into 0 8.328 * [backup-simplify]: Simplify 1 into 1 8.328 * [backup-simplify]: Simplify (exp 0) into 1 8.328 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.328 * [taylor]: Taking taylor expansion of (- x) in x 8.328 * [taylor]: Taking taylor expansion of x in x 8.328 * [backup-simplify]: Simplify 0 into 0 8.328 * [backup-simplify]: Simplify 1 into 1 8.329 * [backup-simplify]: Simplify (- 0) into 0 8.329 * [backup-simplify]: Simplify (- 1) into -1 8.329 * [backup-simplify]: Simplify (exp 0) into 1 8.330 * [backup-simplify]: Simplify (+ 1 1) into 2 8.330 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.330 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.331 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.332 * [backup-simplify]: Simplify (- 1) into -1 8.333 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 8.334 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.334 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 8.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.335 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.335 * [taylor]: Taking taylor expansion of 2 in x 8.335 * [backup-simplify]: Simplify 2 into 2 8.336 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.336 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 8.336 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 8.336 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 8.336 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.336 * [taylor]: Taking taylor expansion of (exp x) in x 8.336 * [taylor]: Taking taylor expansion of x in x 8.336 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify 1 into 1 8.336 * [backup-simplify]: Simplify (exp 0) into 1 8.336 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.336 * [taylor]: Taking taylor expansion of (- x) in x 8.336 * [taylor]: Taking taylor expansion of x in x 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify 1 into 1 8.337 * [backup-simplify]: Simplify (- 0) into 0 8.337 * [backup-simplify]: Simplify (- 1) into -1 8.337 * [backup-simplify]: Simplify (exp 0) into 1 8.338 * [backup-simplify]: Simplify (+ 1 1) into 2 8.338 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.338 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.340 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.340 * [backup-simplify]: Simplify (- 1) into -1 8.341 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 8.341 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.342 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 8.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.343 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.343 * [taylor]: Taking taylor expansion of 2 in x 8.343 * [backup-simplify]: Simplify 2 into 2 8.343 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.345 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 8.346 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 8.347 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 8.347 * [backup-simplify]: Simplify 0 into 0 8.348 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.350 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.350 * [backup-simplify]: Simplify (- 1) into -1 8.351 * [backup-simplify]: Simplify (- 0) into 0 8.352 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.353 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 8.354 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 8.359 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 8.362 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 8.364 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 8.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.366 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 8.366 * [backup-simplify]: Simplify (- 1) into -1 8.367 * [backup-simplify]: Simplify (- 1) into -1 8.367 * [backup-simplify]: Simplify (- 0) into 0 8.367 * [backup-simplify]: Simplify (- 0) into 0 8.368 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 8.369 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 8.369 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 8.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 8.371 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 8.371 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.374 * [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 8.375 * [backup-simplify]: Simplify (- 1) into -1 8.375 * [backup-simplify]: Simplify (- 1) into -1 8.375 * [backup-simplify]: Simplify (- 0) into 0 8.375 * [backup-simplify]: Simplify (- 1) into -1 8.375 * [backup-simplify]: Simplify (- 0) into 0 8.376 * [backup-simplify]: Simplify (- 0) into 0 8.376 * [backup-simplify]: Simplify (- 0) into 0 8.378 * [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 8.378 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 8.379 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 8.383 * [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))) 8.406 * [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)))) 8.414 * [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)))) 8.426 * [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))))) 8.427 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.427 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 8.427 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 8.427 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.427 * [taylor]: Taking taylor expansion of 2 in x 8.427 * [backup-simplify]: Simplify 2 into 2 8.427 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.428 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 8.428 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.428 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.428 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.428 * [taylor]: Taking taylor expansion of x in x 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 1 into 1 8.428 * [backup-simplify]: Simplify (/ 1 1) into 1 8.429 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.429 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.429 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.429 * [taylor]: Taking taylor expansion of x in x 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * [backup-simplify]: Simplify 1 into 1 8.429 * [backup-simplify]: Simplify (/ 1 1) into 1 8.429 * [backup-simplify]: Simplify (- 1) into -1 8.430 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.430 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.430 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.430 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 8.430 * [backup-simplify]: Simplify (+ 0 0) into 0 8.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.431 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 8.431 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.431 * [taylor]: Taking taylor expansion of 2 in x 8.431 * [backup-simplify]: Simplify 2 into 2 8.432 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.432 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 8.432 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.432 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.432 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.432 * [taylor]: Taking taylor expansion of x in x 8.432 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify 1 into 1 8.433 * [backup-simplify]: Simplify (/ 1 1) into 1 8.433 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.433 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.433 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.433 * [taylor]: Taking taylor expansion of x in x 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify 1 into 1 8.433 * [backup-simplify]: Simplify (/ 1 1) into 1 8.434 * [backup-simplify]: Simplify (- 1) into -1 8.434 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.434 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.434 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.435 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 8.435 * [backup-simplify]: Simplify (+ 0 0) into 0 8.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.436 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.437 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.437 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.437 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify (+ 0 0) into 0 8.438 * [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 8.439 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.440 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.441 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 8.441 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify (+ 0 0) into 0 8.442 * [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 8.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.445 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 8.445 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify (+ 0 0) into 0 8.446 * [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 8.447 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.449 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.450 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 8.450 * [backup-simplify]: Simplify 0 into 0 8.450 * [backup-simplify]: Simplify (+ 0 0) into 0 8.451 * [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 8.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.455 * [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 8.455 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify (+ 0 0) into 0 8.457 * [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)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.459 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.462 * [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 8.462 * [backup-simplify]: Simplify 0 into 0 8.462 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 8.463 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.463 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 8.463 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 8.463 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.463 * [taylor]: Taking taylor expansion of 2 in x 8.463 * [backup-simplify]: Simplify 2 into 2 8.464 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 8.464 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 8.464 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 8.465 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.465 * [taylor]: Taking taylor expansion of x in x 8.465 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify 1 into 1 8.465 * [backup-simplify]: Simplify (/ 1 1) into 1 8.465 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.465 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 8.465 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.465 * [taylor]: Taking taylor expansion of -1 in x 8.465 * [backup-simplify]: Simplify -1 into -1 8.465 * [taylor]: Taking taylor expansion of x in x 8.465 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify 1 into 1 8.466 * [backup-simplify]: Simplify (/ -1 1) into -1 8.466 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 8.466 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 8.467 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.467 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 8.467 * [backup-simplify]: Simplify (+ 0 0) into 0 8.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.468 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 8.468 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.468 * [taylor]: Taking taylor expansion of 2 in x 8.468 * [backup-simplify]: Simplify 2 into 2 8.468 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 8.469 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 8.469 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 8.469 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.469 * [taylor]: Taking taylor expansion of x in x 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify 1 into 1 8.470 * [backup-simplify]: Simplify (/ 1 1) into 1 8.470 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.470 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 8.470 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.470 * [taylor]: Taking taylor expansion of -1 in x 8.470 * [backup-simplify]: Simplify -1 into -1 8.470 * [taylor]: Taking taylor expansion of x in x 8.470 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify 1 into 1 8.470 * [backup-simplify]: Simplify (/ -1 1) into -1 8.471 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 8.471 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 8.471 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.471 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 8.471 * [backup-simplify]: Simplify (+ 0 0) into 0 8.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.472 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.473 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.474 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify (+ 0 0) into 0 8.475 * [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))))))) into 0 8.475 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.483 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 8.483 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify (+ 0 0) into 0 8.484 * [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 8.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.487 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.488 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 8.488 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify (+ 0 0) into 0 8.489 * [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))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.491 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.493 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.494 * [backup-simplify]: Simplify (+ 0 0) into 0 8.495 * [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 8.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.499 * [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 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify (+ 0 0) into 0 8.500 * [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 8.502 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.503 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.506 * [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 8.506 * [backup-simplify]: Simplify 0 into 0 8.507 * [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))))) 8.507 * * * * [progress]: [ 4 / 4 ] generating series at (2) 8.508 * [backup-simplify]: Simplify (* (* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) into (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) 8.508 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in (x) around 0 8.509 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in x 8.509 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 8.509 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.509 * [taylor]: Taking taylor expansion of 2 in x 8.509 * [backup-simplify]: Simplify 2 into 2 8.509 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.510 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.510 * [taylor]: Taking taylor expansion of (exp x) in x 8.510 * [taylor]: Taking taylor expansion of x in x 8.510 * [backup-simplify]: Simplify 0 into 0 8.510 * [backup-simplify]: Simplify 1 into 1 8.510 * [backup-simplify]: Simplify (exp 0) into 1 8.510 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.510 * [taylor]: Taking taylor expansion of (- x) in x 8.510 * [taylor]: Taking taylor expansion of x in x 8.510 * [backup-simplify]: Simplify 0 into 0 8.510 * [backup-simplify]: Simplify 1 into 1 8.511 * [backup-simplify]: Simplify (- 0) into 0 8.511 * [backup-simplify]: Simplify (- 1) into -1 8.511 * [backup-simplify]: Simplify (exp 0) into 1 8.512 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 8.513 * [backup-simplify]: Simplify (+ 1 1) into 2 8.514 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 2) into (* 1/2 (pow (sqrt 2) 2)) 8.514 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in x 8.514 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 8.514 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.514 * [taylor]: Taking taylor expansion of 2 in x 8.514 * [backup-simplify]: Simplify 2 into 2 8.515 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.516 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.516 * [taylor]: Taking taylor expansion of (exp x) in x 8.516 * [taylor]: Taking taylor expansion of x in x 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify 1 into 1 8.516 * [backup-simplify]: Simplify (exp 0) into 1 8.516 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.516 * [taylor]: Taking taylor expansion of (- x) in x 8.516 * [taylor]: Taking taylor expansion of x in x 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify 1 into 1 8.516 * [backup-simplify]: Simplify (- 0) into 0 8.517 * [backup-simplify]: Simplify (- 1) into -1 8.517 * [backup-simplify]: Simplify (exp 0) into 1 8.518 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 8.518 * [backup-simplify]: Simplify (+ 1 1) into 2 8.520 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 2) into (* 1/2 (pow (sqrt 2) 2)) 8.522 * [backup-simplify]: Simplify (* 1/2 (pow (sqrt 2) 2)) into (* 1/2 (pow (sqrt 2) 2)) 8.523 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 8.524 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.524 * [backup-simplify]: Simplify (- 1) into -1 8.525 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 8.526 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.527 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 0 2)))) into 0 8.527 * [backup-simplify]: Simplify 0 into 0 8.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.529 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 8.531 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.532 * [backup-simplify]: Simplify (- 1) into -1 8.532 * [backup-simplify]: Simplify (- 0) into 0 8.534 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.534 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 8.540 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 1 2)) (* 0 (/ 0 2)))) into (- (* 1/4 (pow (sqrt 2) 2))) 8.541 * [backup-simplify]: Simplify (- (* 1/4 (pow (sqrt 2) 2))) into (- (* 1/4 (pow (sqrt 2) 2))) 8.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.542 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 8.544 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 8.544 * [backup-simplify]: Simplify (- 1) into -1 8.544 * [backup-simplify]: Simplify (- 1) into -1 8.544 * [backup-simplify]: Simplify (- 0) into 0 8.545 * [backup-simplify]: Simplify (- 0) into 0 8.546 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 8.546 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 8.548 * [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 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.549 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 8.551 * [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 8.552 * [backup-simplify]: Simplify (- 1) into -1 8.552 * [backup-simplify]: Simplify (- 1) into -1 8.552 * [backup-simplify]: Simplify (- 0) into 0 8.552 * [backup-simplify]: Simplify (- 1) into -1 8.553 * [backup-simplify]: Simplify (- 0) into 0 8.553 * [backup-simplify]: Simplify (- 0) into 0 8.553 * [backup-simplify]: Simplify (- 0) into 0 8.555 * [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 8.556 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 8.563 * [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)) 8.564 * [backup-simplify]: Simplify (* 5/48 (pow (sqrt 2) 2)) into (* 5/48 (pow (sqrt 2) 2)) 8.567 * [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)))) 8.568 * [backup-simplify]: Simplify (* (* (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.568 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 8.568 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.568 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 8.568 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.568 * [taylor]: Taking taylor expansion of 2 in x 8.568 * [backup-simplify]: Simplify 2 into 2 8.569 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.569 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.569 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.569 * [taylor]: Taking taylor expansion of x in x 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 1 into 1 8.569 * [backup-simplify]: Simplify (/ 1 1) into 1 8.570 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.570 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.570 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.570 * [taylor]: Taking taylor expansion of x in x 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [backup-simplify]: Simplify (/ 1 1) into 1 8.570 * [backup-simplify]: Simplify (- 1) into -1 8.570 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.571 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 8.571 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.572 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.572 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.572 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 8.572 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.572 * [taylor]: Taking taylor expansion of 2 in x 8.572 * [backup-simplify]: Simplify 2 into 2 8.572 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.572 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.572 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.572 * [taylor]: Taking taylor expansion of x in x 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify 1 into 1 8.573 * [backup-simplify]: Simplify (/ 1 1) into 1 8.573 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.573 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.573 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.573 * [taylor]: Taking taylor expansion of x in x 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify 1 into 1 8.573 * [backup-simplify]: Simplify (/ 1 1) into 1 8.573 * [backup-simplify]: Simplify (- 1) into -1 8.573 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.575 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 8.575 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.576 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.577 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.577 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 8.578 * [backup-simplify]: Simplify (+ 0 0) into 0 8.579 * [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 8.579 * [backup-simplify]: Simplify 0 into 0 8.580 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.581 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 8.582 * [backup-simplify]: Simplify (+ 0 0) into 0 8.583 * [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 8.583 * [backup-simplify]: Simplify 0 into 0 8.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.586 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 8.586 * [backup-simplify]: Simplify (+ 0 0) into 0 8.588 * [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 8.588 * [backup-simplify]: Simplify 0 into 0 8.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.590 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 8.591 * [backup-simplify]: Simplify (+ 0 0) into 0 8.592 * [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 8.593 * [backup-simplify]: Simplify 0 into 0 8.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.595 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 8.596 * [backup-simplify]: Simplify (+ 0 0) into 0 8.598 * [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 8.598 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.606 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 8.607 * [backup-simplify]: Simplify (+ 0 0) into 0 8.609 * [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)))))) (* 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 8.609 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) 8.611 * [backup-simplify]: Simplify (* (* (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.612 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 8.612 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 8.612 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 8.612 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.612 * [taylor]: Taking taylor expansion of 2 in x 8.612 * [backup-simplify]: Simplify 2 into 2 8.612 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.613 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 8.613 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.613 * [taylor]: Taking taylor expansion of x in x 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify 1 into 1 8.613 * [backup-simplify]: Simplify (/ 1 1) into 1 8.613 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.613 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 8.613 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.613 * [taylor]: Taking taylor expansion of -1 in x 8.613 * [backup-simplify]: Simplify -1 into -1 8.613 * [taylor]: Taking taylor expansion of x in x 8.613 * [backup-simplify]: Simplify 0 into 0 8.614 * [backup-simplify]: Simplify 1 into 1 8.614 * [backup-simplify]: Simplify (/ -1 1) into -1 8.614 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 8.615 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 8.615 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 8.616 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.616 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 8.616 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 8.616 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.616 * [taylor]: Taking taylor expansion of 2 in x 8.616 * [backup-simplify]: Simplify 2 into 2 8.617 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.617 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 8.618 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.618 * [taylor]: Taking taylor expansion of x in x 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [backup-simplify]: Simplify (/ 1 1) into 1 8.618 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.618 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 8.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.618 * [taylor]: Taking taylor expansion of -1 in x 8.618 * [backup-simplify]: Simplify -1 into -1 8.618 * [taylor]: Taking taylor expansion of x in x 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.619 * [backup-simplify]: Simplify (/ -1 1) into -1 8.619 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 8.620 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 8.620 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 8.621 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.622 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.623 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 8.623 * [backup-simplify]: Simplify (+ 0 0) into 0 8.625 * [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))))))) into 0 8.625 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.627 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 8.627 * [backup-simplify]: Simplify (+ 0 0) into 0 8.629 * [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 8.629 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.631 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 8.632 * [backup-simplify]: Simplify (+ 0 0) into 0 8.633 * [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 8.633 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.635 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 8.635 * [backup-simplify]: Simplify (+ 0 0) into 0 8.636 * [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 8.636 * [backup-simplify]: Simplify 0 into 0 8.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.638 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 8.638 * [backup-simplify]: Simplify (+ 0 0) into 0 8.639 * [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 8.639 * [backup-simplify]: Simplify 0 into 0 8.640 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.641 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 8.641 * [backup-simplify]: Simplify (+ 0 0) into 0 8.642 * [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 8.642 * [backup-simplify]: Simplify 0 into 0 8.643 * [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))) 8.643 * * * [progress]: simplifying candidates 8.643 * * * * [progress]: [ 1 / 308 ] simplifiying candidate # 8.643 * * * * [progress]: [ 2 / 308 ] simplifiying candidate # 8.643 * * * * [progress]: [ 3 / 308 ] simplifiying candidate # 8.643 * * * * [progress]: [ 4 / 308 ] simplifiying candidate # 8.643 * * * * [progress]: [ 5 / 308 ] simplifiying candidate # 8.643 * * * * [progress]: [ 6 / 308 ] simplifiying candidate # 8.643 * * * * [progress]: [ 7 / 308 ] simplifiying candidate # 8.643 * * * * [progress]: [ 8 / 308 ] simplifiying candidate # 8.643 * * * * [progress]: [ 9 / 308 ] simplifiying candidate # 8.643 * * * * [progress]: [ 10 / 308 ] simplifiying candidate # 8.643 * * * * [progress]: [ 11 / 308 ] simplifiying candidate # 8.643 * * * * [progress]: [ 12 / 308 ] 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(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)) (/ 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1/2)) (* (* x x) (* x x))))) (/ (* (* 1/8 (sqrt 2)) (* x x)) (sqrt 1/2))) (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) (+ 1 (+ (* (* 5/24 (* x x)) (* x x)) (* -1/2 (* x x)))) (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))) 10.322 * * * [progress]: adding candidates to table 14.551 * [progress]: [Phase 3 of 3] Extracting. 14.551 * * [regime]: Finding splitpoints for: (# #) 14.552 * * * [regime-changes]: Trying 3 branch expressions: ((+ (exp x) (exp (- x))) (/ 2 (+ (exp x) (exp (- x)))) x) 14.552 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# #) 14.594 * * * * [regimes]: Trying to branch on (/ 2 (+ (exp x) (exp (- x)))) from (# #) 14.638 * * * * [regimes]: Trying to branch on x from (# #) 14.661 * * * [regime]: Found split indices: #