34.812 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * * * * [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)))) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [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 0.065 * [backup-simplify]: Simplify (- 0) into 0 0.065 * [backup-simplify]: Simplify (- 1) into -1 0.065 * [backup-simplify]: Simplify (exp 0) into 1 0.066 * [backup-simplify]: Simplify (+ 1 1) into 2 0.066 * [backup-simplify]: Simplify (/ 2 2) into 1 0.066 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x 0.066 * [taylor]: Taking taylor expansion of 2 in x 0.066 * [backup-simplify]: Simplify 2 into 2 0.066 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.066 * [taylor]: Taking taylor expansion of (exp x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (exp 0) into 1 0.066 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.066 * [taylor]: Taking taylor expansion of (- x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (- 1) into -1 0.067 * [backup-simplify]: Simplify (exp 0) into 1 0.067 * [backup-simplify]: Simplify (+ 1 1) into 2 0.068 * [backup-simplify]: Simplify (/ 2 2) into 1 0.068 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.069 * [backup-simplify]: Simplify (- 1) into -1 0.070 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.071 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.071 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.073 * [backup-simplify]: Simplify (- 1) into -1 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.075 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.076 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 0.076 * [backup-simplify]: Simplify -1/2 into -1/2 0.078 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.078 * [backup-simplify]: Simplify (- 1) into -1 0.078 * [backup-simplify]: Simplify (- 1) into -1 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.080 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.081 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.082 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.085 * [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 0.085 * [backup-simplify]: Simplify (- 1) into -1 0.086 * [backup-simplify]: Simplify (- 1) into -1 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (- 1) into -1 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [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 0.090 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.091 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 0.091 * [backup-simplify]: Simplify 5/24 into 5/24 0.091 * [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))) 0.091 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.091 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.091 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.091 * [taylor]: Taking taylor expansion of 2 in x 0.091 * [backup-simplify]: Simplify 2 into 2 0.091 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.091 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.091 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [backup-simplify]: Simplify (- 1) into -1 0.092 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.092 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.092 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.092 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.092 * [taylor]: Taking taylor expansion of 2 in x 0.092 * [backup-simplify]: Simplify 2 into 2 0.092 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.092 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.093 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.093 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [backup-simplify]: Simplify (- 1) into -1 0.093 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.093 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.093 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.094 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [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 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [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 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [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 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [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 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [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 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [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 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2 (+ (exp x) (exp (- x)))) 0.098 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.098 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 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 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [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 in x 0.099 * [backup-simplify]: Simplify -1 into -1 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 (exp (/ -1 x)) into (exp (/ -1 x)) 0.099 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.099 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.099 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.099 * [taylor]: Taking taylor expansion of 2 in x 0.099 * [backup-simplify]: Simplify 2 into 2 0.099 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in 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 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 (exp (/ 1 x)) into (exp (/ 1 x)) 0.100 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.100 * [taylor]: Taking taylor expansion of -1 in x 0.100 * [backup-simplify]: Simplify -1 into -1 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ -1 1) into -1 0.100 * [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 0.101 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.101 * [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 0.102 * [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 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [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 0.104 * [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))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x))) 0.105 * * * [progress]: simplifying candidates 0.106 * * * * [progress]: [ 1 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 2 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 3 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 4 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 5 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 6 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 7 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 8 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 9 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 10 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 11 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 12 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 13 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 14 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 15 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 16 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 17 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 18 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 19 / 39 ] simplifiying candidate # 0.106 * * * * [progress]: [ 20 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 21 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 22 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 23 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 24 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 25 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 26 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 27 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 28 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 29 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 30 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 31 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 32 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 33 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 34 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 35 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 36 / 39 ] simplifiying candidate #real (real->posit16 (/ 2 (+ (exp x) (exp (- x)))))))> 0.107 * * * * [progress]: [ 37 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 38 / 39 ] simplifiying candidate # 0.107 * * * * [progress]: [ 39 / 39 ] simplifiying candidate # 0.108 * [simplify]: Simplifying: (expm1 (/ 2 (+ (exp x) (exp (- x))))) (log1p (/ 2 (+ (exp x) (exp (- x))))) (- (log 2) (log (+ (exp x) (exp (- x))))) (log (/ 2 (+ (exp x) (exp (- x))))) (exp (/ 2 (+ (exp x) (exp (- x))))) (/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))) (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))) (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))) (- 2) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2) (cbrt 2)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2) (cbrt 2)) 1) (/ (cbrt 2) (+ (exp x) (exp (- x)))) (/ (* (cbrt 2) (cbrt 2)) 1) (/ (cbrt 2) (+ (exp x) (exp (- x)))) (/ (sqrt 2) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) 1) (/ (sqrt 2) (+ (exp x) (exp (- x)))) (/ (sqrt 2) 1) (/ (sqrt 2) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ 1 1) (/ 2 (+ (exp x) (exp (- x)))) (/ 1 1) (/ 2 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2) (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ 2 1) (/ 2 1) (/ (+ (exp x) (exp (- x))) (cbrt 2)) (/ (+ (exp x) (exp (- x))) (sqrt 2)) (/ (+ (exp x) (exp (- x))) 2) (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (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))) 0.109 * * [simplify]: iteration 0: 79 enodes 0.146 * * [simplify]: iteration 1: 178 enodes 0.205 * * [simplify]: iteration 2: 482 enodes 0.428 * * [simplify]: iteration 3: 1539 enodes 0.726 * * [simplify]: iteration 4: 2008 enodes 0.955 * * [simplify]: iteration complete: 2008 enodes 0.955 * * [simplify]: Extracting #0: cost 37 inf + 0 0.956 * * [simplify]: Extracting #1: cost 148 inf + 44 0.958 * * [simplify]: Extracting #2: cost 312 inf + 1606 0.971 * * [simplify]: Extracting #3: cost 229 inf + 39042 0.999 * * [simplify]: Extracting #4: cost 69 inf + 76788 1.027 * * [simplify]: Extracting #5: cost 0 inf + 92207 1.045 * * [simplify]: Extracting #6: cost 0 inf + 91683 1.062 * [simplify]: Simplified to: (expm1 (/ 2 (+ (/ 1 (exp x)) (exp x)))) (log1p (/ 2 (+ (/ 1 (exp x)) (exp x)))) (log (/ 2 (+ (/ 1 (exp x)) (exp x)))) (log (/ 2 (+ (/ 1 (exp x)) (exp x)))) (exp (/ 2 (+ (/ 1 (exp x)) (exp x)))) (* (/ 2 (+ (/ 1 (exp x)) (exp x))) (* (/ 2 (+ (/ 1 (exp x)) (exp x))) (/ 2 (+ (/ 1 (exp x)) (exp x))))) (* (cbrt (/ 2 (+ (/ 1 (exp x)) (exp x)))) (cbrt (/ 2 (+ (/ 1 (exp x)) (exp x))))) (cbrt (/ 2 (+ (/ 1 (exp x)) (exp x)))) (* (/ 2 (+ (/ 1 (exp x)) (exp x))) (* (/ 2 (+ (/ 1 (exp x)) (exp x))) (/ 2 (+ (/ 1 (exp x)) (exp x))))) (sqrt (/ 2 (+ (/ 1 (exp x)) (exp x)))) (sqrt (/ 2 (+ (/ 1 (exp x)) (exp x)))) -2 (- (/ -1 (exp x)) (exp x)) (* (/ (cbrt 2) (cbrt (+ (/ 1 (exp x)) (exp x)))) (/ (cbrt 2) (cbrt (+ (/ 1 (exp x)) (exp x))))) (/ (cbrt 2) (cbrt (+ (/ 1 (exp x)) (exp x)))) (/ (* (cbrt 2) (cbrt 2)) (sqrt (+ (/ 1 (exp x)) (exp x)))) (/ (cbrt 2) (sqrt (+ (/ 1 (exp x)) (exp x)))) (* (cbrt 2) (cbrt 2)) (/ (cbrt 2) (+ (/ 1 (exp x)) (exp x))) (* (cbrt 2) (cbrt 2)) (/ (cbrt 2) (+ (/ 1 (exp x)) (exp x))) (/ (/ (sqrt 2) (cbrt (+ (/ 1 (exp x)) (exp x)))) (cbrt (+ (/ 1 (exp x)) (exp x)))) (/ (sqrt 2) (cbrt (+ (/ 1 (exp x)) (exp x)))) (/ (sqrt 2) (sqrt (+ (/ 1 (exp x)) (exp x)))) (/ (sqrt 2) (sqrt (+ (/ 1 (exp x)) (exp x)))) (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))) (sqrt 2) (/ (sqrt 2) (+ (/ 1 (exp x)) (exp x))) (/ 1 (* (cbrt (+ (/ 1 (exp x)) (exp x))) (cbrt (+ (/ 1 (exp x)) (exp x))))) (/ 2 (cbrt (+ (/ 1 (exp x)) (exp x)))) (/ 1 (sqrt (+ (/ 1 (exp x)) (exp x)))) (/ 2 (sqrt (+ (/ 1 (exp x)) (exp x)))) 1 (/ 2 (+ (/ 1 (exp x)) (exp x))) 1 (/ 2 (+ (/ 1 (exp x)) (exp x))) (/ 1 (+ (/ 1 (exp x)) (exp x))) (/ (+ (/ 1 (exp x)) (exp x)) 2) (/ (/ 2 (cbrt (+ (/ 1 (exp x)) (exp x)))) (cbrt (+ (/ 1 (exp x)) (exp x)))) (/ 2 (sqrt (+ (/ 1 (exp x)) (exp x)))) 2 2 (/ (+ (/ 1 (exp x)) (exp x)) (cbrt 2)) (/ (+ (/ 1 (exp x)) (exp x)) (sqrt 2)) (/ (+ (/ 1 (exp x)) (exp x)) 2) (/ 2 (+ (exp (fma x 2 x)) (exp (- (fma x 2 x))))) (/ 2 (- (* (exp x) (exp x)) (* (/ 1 (exp x)) (/ 1 (exp x))))) (real->posit16 (/ 2 (+ (/ 1 (exp x)) (exp x)))) (fma (* x x) (fma 5/24 (* x x) -1/2) 1) (/ 2 (+ (/ 1 (exp x)) (exp x))) (/ 2 (+ (/ 1 (exp x)) (exp x))) 1.064 * * * [progress]: adding candidates to table 1.371 * * [progress]: iteration 2 / 4 1.371 * * * [progress]: picking best candidate 1.379 * * * * [pick]: Picked # 1.379 * * * [progress]: localizing error 1.400 * * * [progress]: generating rewritten candidates 1.400 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.430 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.452 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.551 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.591 * * * [progress]: generating series expansions 1.591 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.592 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 1.592 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 1.592 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 1.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 1.592 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.592 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.592 * [taylor]: Taking taylor expansion of (exp x) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (exp 0) into 1 1.592 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.592 * [taylor]: Taking taylor expansion of (- x) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (- 0) into 0 1.593 * [backup-simplify]: Simplify (- 1) into -1 1.593 * [backup-simplify]: Simplify (exp 0) into 1 1.593 * [backup-simplify]: Simplify (+ 1 1) into 2 1.594 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.594 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.595 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.595 * [backup-simplify]: Simplify (- 1) into -1 1.597 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.597 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.598 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 1.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.599 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.599 * [taylor]: Taking taylor expansion of 2 in x 1.599 * [backup-simplify]: Simplify 2 into 2 1.599 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.600 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 1.600 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 1.600 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.600 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.600 * [taylor]: Taking taylor expansion of (exp x) in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (exp 0) into 1 1.600 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.600 * [taylor]: Taking taylor expansion of (- x) in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (- 0) into 0 1.601 * [backup-simplify]: Simplify (- 1) into -1 1.601 * [backup-simplify]: Simplify (exp 0) into 1 1.601 * [backup-simplify]: Simplify (+ 1 1) into 2 1.601 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.602 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.603 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.603 * [backup-simplify]: Simplify (- 1) into -1 1.604 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.605 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.605 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 1.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.606 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.606 * [taylor]: Taking taylor expansion of 2 in x 1.606 * [backup-simplify]: Simplify 2 into 2 1.606 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.607 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 1.608 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 1.609 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 1.609 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.611 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.611 * [backup-simplify]: Simplify (- 1) into -1 1.611 * [backup-simplify]: Simplify (- 0) into 0 1.612 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.612 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.613 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 1.615 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 1.618 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 1.620 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 1.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.622 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.623 * [backup-simplify]: Simplify (- 1) into -1 1.623 * [backup-simplify]: Simplify (- 1) into -1 1.623 * [backup-simplify]: Simplify (- 0) into 0 1.623 * [backup-simplify]: Simplify (- 0) into 0 1.625 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.625 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 1.626 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 1.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 1.628 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.631 * [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 1.631 * [backup-simplify]: Simplify (- 1) into -1 1.632 * [backup-simplify]: Simplify (- 1) into -1 1.632 * [backup-simplify]: Simplify (- 0) into 0 1.632 * [backup-simplify]: Simplify (- 1) into -1 1.632 * [backup-simplify]: Simplify (- 0) into 0 1.633 * [backup-simplify]: Simplify (- 0) into 0 1.633 * [backup-simplify]: Simplify (- 0) into 0 1.635 * [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 1.635 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.636 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 1.641 * [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))) 1.660 * [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)))) 1.667 * [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)))) 1.681 * [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))))) 1.682 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.682 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 1.682 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.682 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.682 * [taylor]: Taking taylor expansion of 2 in x 1.682 * [backup-simplify]: Simplify 2 into 2 1.682 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.683 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.683 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.683 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.683 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 1 into 1 1.683 * [backup-simplify]: Simplify (/ 1 1) into 1 1.683 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.683 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.683 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (/ 1 1) into 1 1.684 * [backup-simplify]: Simplify (- 1) into -1 1.684 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.684 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.684 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.684 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1.685 * [backup-simplify]: Simplify (+ 0 0) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.685 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.685 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.685 * [taylor]: Taking taylor expansion of 2 in x 1.685 * [backup-simplify]: Simplify 2 into 2 1.685 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.686 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.686 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.686 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (/ 1 1) into 1 1.686 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.686 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.686 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (/ 1 1) into 1 1.687 * [backup-simplify]: Simplify (- 1) into -1 1.687 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.687 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.687 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.687 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1.687 * [backup-simplify]: Simplify (+ 0 0) into 0 1.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.688 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.689 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.690 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (+ 0 0) into 0 1.690 * [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 1.691 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.692 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.693 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (+ 0 0) into 0 1.694 * [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 1.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.698 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.699 * [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 1.700 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.701 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.703 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [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 1.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.708 * [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 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify (+ 0 0) into 0 1.710 * [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 1.711 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.713 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.715 * [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 1.715 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 1.716 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.716 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 1.717 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.717 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.717 * [taylor]: Taking taylor expansion of 2 in x 1.717 * [backup-simplify]: Simplify 2 into 2 1.717 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.718 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.718 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.718 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (/ 1 1) into 1 1.718 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.718 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.718 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.718 * [taylor]: Taking taylor expansion of -1 in x 1.718 * [backup-simplify]: Simplify -1 into -1 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.719 * [backup-simplify]: Simplify (/ -1 1) into -1 1.719 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.719 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.719 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.719 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1.720 * [backup-simplify]: Simplify (+ 0 0) into 0 1.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.720 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.720 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.720 * [taylor]: Taking taylor expansion of 2 in x 1.720 * [backup-simplify]: Simplify 2 into 2 1.721 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.721 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.721 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.721 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.721 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 1 into 1 1.722 * [backup-simplify]: Simplify (/ 1 1) into 1 1.722 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.722 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.722 * [taylor]: Taking taylor expansion of -1 in x 1.722 * [backup-simplify]: Simplify -1 into -1 1.722 * [taylor]: Taking taylor expansion of x in x 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 1 into 1 1.723 * [backup-simplify]: Simplify (/ -1 1) into -1 1.723 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.723 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.723 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.723 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1.723 * [backup-simplify]: Simplify (+ 0 0) into 0 1.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.724 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.725 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.726 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [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 1.727 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.728 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.729 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify (+ 0 0) into 0 1.730 * [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 1.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.733 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (+ 0 0) into 0 1.734 * [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 1.735 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.735 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.736 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [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 1.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.740 * [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 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (+ 0 0) into 0 1.741 * [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 1.741 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.742 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.744 * [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 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [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))))) 1.744 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.744 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 1.744 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 1.744 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 1.744 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.744 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.745 * [taylor]: Taking taylor expansion of (exp x) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [backup-simplify]: Simplify (exp 0) into 1 1.745 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.745 * [taylor]: Taking taylor expansion of (- x) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [backup-simplify]: Simplify (- 0) into 0 1.745 * [backup-simplify]: Simplify (- 1) into -1 1.745 * [backup-simplify]: Simplify (exp 0) into 1 1.745 * [backup-simplify]: Simplify (+ 1 1) into 2 1.746 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.746 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.747 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.747 * [backup-simplify]: Simplify (- 1) into -1 1.747 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.748 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.748 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 1.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.749 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.749 * [taylor]: Taking taylor expansion of 2 in x 1.749 * [backup-simplify]: Simplify 2 into 2 1.749 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.750 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 1.750 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 1.750 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.750 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.750 * [taylor]: Taking taylor expansion of (exp x) in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (exp 0) into 1 1.750 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.750 * [taylor]: Taking taylor expansion of (- x) in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (- 0) into 0 1.750 * [backup-simplify]: Simplify (- 1) into -1 1.750 * [backup-simplify]: Simplify (exp 0) into 1 1.750 * [backup-simplify]: Simplify (+ 1 1) into 2 1.751 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.751 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.752 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.752 * [backup-simplify]: Simplify (- 1) into -1 1.753 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.753 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.753 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 1.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.754 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.754 * [taylor]: Taking taylor expansion of 2 in x 1.754 * [backup-simplify]: Simplify 2 into 2 1.754 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.755 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 1.756 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 1.757 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.759 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.759 * [backup-simplify]: Simplify (- 1) into -1 1.759 * [backup-simplify]: Simplify (- 0) into 0 1.760 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.761 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.761 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 1.763 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 1.768 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 1.771 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 1.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.774 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.775 * [backup-simplify]: Simplify (- 1) into -1 1.775 * [backup-simplify]: Simplify (- 1) into -1 1.776 * [backup-simplify]: Simplify (- 0) into 0 1.776 * [backup-simplify]: Simplify (- 0) into 0 1.778 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.779 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 1.780 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 1.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 1.784 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.793 * [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 1.793 * [backup-simplify]: Simplify (- 1) into -1 1.794 * [backup-simplify]: Simplify (- 1) into -1 1.794 * [backup-simplify]: Simplify (- 0) into 0 1.794 * [backup-simplify]: Simplify (- 1) into -1 1.795 * [backup-simplify]: Simplify (- 0) into 0 1.795 * [backup-simplify]: Simplify (- 0) into 0 1.796 * [backup-simplify]: Simplify (- 0) into 0 1.800 * [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 1.803 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 1.810 * [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))) 1.829 * [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)))) 1.834 * [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)))) 1.842 * [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))))) 1.842 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.842 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 1.842 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.842 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.842 * [taylor]: Taking taylor expansion of 2 in x 1.842 * [backup-simplify]: Simplify 2 into 2 1.842 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.843 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.843 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.843 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.843 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (/ 1 1) into 1 1.843 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.843 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.843 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.844 * [backup-simplify]: Simplify (/ 1 1) into 1 1.844 * [backup-simplify]: Simplify (- 1) into -1 1.844 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.844 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.844 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.844 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1.845 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 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 1.846 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 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 (/ 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 (- 1) into -1 1.847 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.847 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.847 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.847 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1.847 * [backup-simplify]: Simplify (+ 0 0) into 0 1.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.848 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.848 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.849 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [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 1.850 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.851 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.851 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 1.851 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [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 1.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.856 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 1.856 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify (+ 0 0) into 0 1.858 * [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 1.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.862 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [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 1.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.868 * [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 1.868 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify (+ 0 0) into 0 1.870 * [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 1.871 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.872 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 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 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 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 1.876 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.876 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 1.876 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.876 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.876 * [taylor]: Taking taylor expansion of 2 in x 1.876 * [backup-simplify]: Simplify 2 into 2 1.877 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.877 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.877 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.877 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.877 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.877 * [taylor]: Taking taylor expansion of x in x 1.877 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (/ 1 1) into 1 1.878 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.878 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.878 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.878 * [taylor]: Taking taylor expansion of -1 in x 1.878 * [backup-simplify]: Simplify -1 into -1 1.878 * [taylor]: Taking taylor expansion of x in x 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (/ -1 1) into -1 1.879 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.879 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.879 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.879 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1.880 * [backup-simplify]: Simplify (+ 0 0) into 0 1.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.880 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.880 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.880 * [taylor]: Taking taylor expansion of 2 in x 1.880 * [backup-simplify]: Simplify 2 into 2 1.881 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.881 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.881 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.881 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [backup-simplify]: Simplify (/ 1 1) into 1 1.882 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.882 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.882 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.882 * [taylor]: Taking taylor expansion of -1 in x 1.882 * [backup-simplify]: Simplify -1 into -1 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [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 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.883 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.883 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.885 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.885 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.886 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (+ 0 0) into 0 1.887 * [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 1.888 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.889 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.890 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [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))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.894 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 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))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.896 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.898 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 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))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.902 * [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 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [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 1.903 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.904 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.906 * [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 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [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))))) 1.906 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.907 * [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)))) 1.907 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in (x) around 0 1.907 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in x 1.907 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 1.907 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.907 * [taylor]: Taking taylor expansion of 2 in x 1.907 * [backup-simplify]: Simplify 2 into 2 1.907 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.908 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.908 * [taylor]: Taking taylor expansion of (exp x) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (exp 0) into 1 1.908 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.908 * [taylor]: Taking taylor expansion of (- x) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (- 0) into 0 1.908 * [backup-simplify]: Simplify (- 1) into -1 1.908 * [backup-simplify]: Simplify (exp 0) into 1 1.910 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 1.910 * [backup-simplify]: Simplify (+ 1 1) into 2 1.911 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 2) into (* 1/2 (pow (sqrt 2) 2)) 1.911 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in x 1.911 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 1.911 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.911 * [taylor]: Taking taylor expansion of 2 in x 1.911 * [backup-simplify]: Simplify 2 into 2 1.912 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.912 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.912 * [taylor]: Taking taylor expansion of (exp x) in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (exp 0) into 1 1.912 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.912 * [taylor]: Taking taylor expansion of (- x) in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify (- 1) into -1 1.913 * [backup-simplify]: Simplify (exp 0) into 1 1.914 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 1.914 * [backup-simplify]: Simplify (+ 1 1) into 2 1.915 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 2) into (* 1/2 (pow (sqrt 2) 2)) 1.916 * [backup-simplify]: Simplify (* 1/2 (pow (sqrt 2) 2)) into (* 1/2 (pow (sqrt 2) 2)) 1.916 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 1.917 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.917 * [backup-simplify]: Simplify (- 1) into -1 1.918 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.918 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.919 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 0 2)))) into 0 1.919 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.920 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 1.921 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.922 * [backup-simplify]: Simplify (- 1) into -1 1.922 * [backup-simplify]: Simplify (- 0) into 0 1.923 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.923 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.927 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 1 2)) (* 0 (/ 0 2)))) into (- (* 1/4 (pow (sqrt 2) 2))) 1.929 * [backup-simplify]: Simplify (- (* 1/4 (pow (sqrt 2) 2))) into (- (* 1/4 (pow (sqrt 2) 2))) 1.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.931 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 1.933 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.934 * [backup-simplify]: Simplify (- 1) into -1 1.934 * [backup-simplify]: Simplify (- 1) into -1 1.935 * [backup-simplify]: Simplify (- 0) into 0 1.935 * [backup-simplify]: Simplify (- 0) into 0 1.937 * [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 (+ 1/6 -1/6) into 0 1.941 * [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 1.941 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.944 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 1.948 * [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 1.949 * [backup-simplify]: Simplify (- 1) into -1 1.949 * [backup-simplify]: Simplify (- 1) into -1 1.950 * [backup-simplify]: Simplify (- 0) into 0 1.950 * [backup-simplify]: Simplify (- 1) into -1 1.950 * [backup-simplify]: Simplify (- 0) into 0 1.951 * [backup-simplify]: Simplify (- 0) into 0 1.951 * [backup-simplify]: Simplify (- 0) into 0 1.956 * [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 1.956 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.965 * [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)) 1.966 * [backup-simplify]: Simplify (* 5/48 (pow (sqrt 2) 2)) into (* 5/48 (pow (sqrt 2) 2)) 1.969 * [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)))) 1.970 * [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))))) 1.970 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 1.970 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.970 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 1.970 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.970 * [taylor]: Taking taylor expansion of 2 in x 1.970 * [backup-simplify]: Simplify 2 into 2 1.971 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.971 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.971 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (/ 1 1) into 1 1.972 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.972 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.972 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.972 * [taylor]: Taking taylor expansion of x in x 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (/ 1 1) into 1 1.972 * [backup-simplify]: Simplify (- 1) into -1 1.972 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.973 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 1.973 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.974 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.974 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.974 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 1.974 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.974 * [taylor]: Taking taylor expansion of 2 in x 1.974 * [backup-simplify]: Simplify 2 into 2 1.974 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.975 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.975 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (/ 1 1) into 1 1.975 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.975 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.975 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [backup-simplify]: Simplify (- 1) into -1 1.976 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.976 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 1.977 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.977 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.978 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.978 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 1.979 * [backup-simplify]: Simplify (+ 0 0) into 0 1.980 * [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 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.981 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 1.981 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [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 1.982 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.984 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [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 1.985 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.987 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [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 1.988 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.990 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 1.990 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [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 1.992 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.994 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [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 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) 1.997 * [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)))) 1.997 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 1.997 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.997 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 1.997 * [taylor]: Taking taylor expansion of (sqrt 2) in x 1.997 * [taylor]: Taking taylor expansion of 2 in x 1.997 * [backup-simplify]: Simplify 2 into 2 1.997 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.998 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.998 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (/ 1 1) into 1 1.998 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.999 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.999 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.999 * [taylor]: Taking taylor expansion of -1 in x 1.999 * [backup-simplify]: Simplify -1 into -1 1.999 * [taylor]: Taking taylor expansion of x in x 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (/ -1 1) into -1 1.999 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.000 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 2.000 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.001 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.001 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.001 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 2.001 * [taylor]: Taking taylor expansion of (sqrt 2) in x 2.001 * [taylor]: Taking taylor expansion of 2 in x 2.001 * [backup-simplify]: Simplify 2 into 2 2.002 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.003 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.003 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (/ 1 1) into 1 2.003 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.003 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.003 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.003 * [taylor]: Taking taylor expansion of -1 in x 2.003 * [backup-simplify]: Simplify -1 into -1 2.003 * [taylor]: Taking taylor expansion of x in x 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (/ -1 1) into -1 2.004 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.005 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 2.005 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.006 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.008 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.008 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.010 * [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 2.010 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.012 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.014 * [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 2.014 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.016 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [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 2.020 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.023 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.025 * [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 2.025 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.028 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [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 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 2.034 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 2.035 * [backup-simplify]: Simplify (+ 0 0) into 0 2.036 * [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 2.037 * [backup-simplify]: Simplify 0 into 0 2.038 * [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))) 2.039 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.039 * [backup-simplify]: Simplify (sqrt (+ (exp x) (exp (- x)))) into (sqrt (+ (exp x) (exp (- x)))) 2.039 * [approximate]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in (x) around 0 2.039 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 2.039 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.039 * [taylor]: Taking taylor expansion of (exp x) in x 2.039 * [taylor]: Taking taylor expansion of x in x 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (exp 0) into 1 2.039 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.040 * [taylor]: Taking taylor expansion of (- x) in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (- 0) into 0 2.040 * [backup-simplify]: Simplify (- 1) into -1 2.041 * [backup-simplify]: Simplify (exp 0) into 1 2.041 * [backup-simplify]: Simplify (+ 1 1) into 2 2.041 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.042 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.042 * [backup-simplify]: Simplify (- 1) into -1 2.043 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 2.043 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.044 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 2.044 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.044 * [taylor]: Taking taylor expansion of (exp x) in x 2.044 * [taylor]: Taking taylor expansion of x in x 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (exp 0) into 1 2.044 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.044 * [taylor]: Taking taylor expansion of (- x) in x 2.044 * [taylor]: Taking taylor expansion of x in x 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (- 0) into 0 2.044 * [backup-simplify]: Simplify (- 1) into -1 2.044 * [backup-simplify]: Simplify (exp 0) into 1 2.044 * [backup-simplify]: Simplify (+ 1 1) into 2 2.045 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.045 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.046 * [backup-simplify]: Simplify (- 1) into -1 2.046 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 2.047 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.047 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.047 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.049 * [backup-simplify]: Simplify (- 1) into -1 2.049 * [backup-simplify]: Simplify (- 0) into 0 2.050 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.050 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 2.052 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 2.052 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 2.054 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 2.054 * [backup-simplify]: Simplify (- 1) into -1 2.054 * [backup-simplify]: Simplify (- 1) into -1 2.055 * [backup-simplify]: Simplify (- 0) into 0 2.055 * [backup-simplify]: Simplify (- 0) into 0 2.056 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 2.057 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 2.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.060 * [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 2.060 * [backup-simplify]: Simplify (- 1) into -1 2.060 * [backup-simplify]: Simplify (- 1) into -1 2.060 * [backup-simplify]: Simplify (- 0) into 0 2.061 * [backup-simplify]: Simplify (- 1) into -1 2.061 * [backup-simplify]: Simplify (- 0) into 0 2.061 * [backup-simplify]: Simplify (- 0) into 0 2.062 * [backup-simplify]: Simplify (- 0) into 0 2.064 * [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 2.064 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 2.068 * [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))) 2.075 * [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))) 2.084 * [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)))) 2.084 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.084 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 2.084 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.084 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.084 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify (/ 1 1) into 1 2.085 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.085 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.085 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify (/ 1 1) into 1 2.085 * [backup-simplify]: Simplify (- 1) into -1 2.085 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 2.085 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.086 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.086 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.086 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.086 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.086 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (/ 1 1) into 1 2.086 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.086 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.086 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (/ 1 1) into 1 2.087 * [backup-simplify]: Simplify (- 1) into -1 2.087 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 2.087 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.087 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.087 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.088 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (+ 0 0) into 0 2.090 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify (+ 0 0) into 0 2.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify (+ 0 0) into 0 2.092 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (sqrt (+ (exp x) (exp (- x)))) 2.092 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.092 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 2.092 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.092 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.092 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (/ 1 1) into 1 2.093 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.093 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.093 * [taylor]: Taking taylor expansion of -1 in x 2.093 * [backup-simplify]: Simplify -1 into -1 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (/ -1 1) into -1 2.093 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.093 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.093 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.094 * [backup-simplify]: Simplify (+ 0 0) into 0 2.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.094 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.094 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.094 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.094 * [taylor]: Taking taylor expansion of x in x 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (/ 1 1) into 1 2.094 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.094 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.094 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.094 * [taylor]: Taking taylor expansion of -1 in x 2.094 * [backup-simplify]: Simplify -1 into -1 2.094 * [taylor]: Taking taylor expansion of x in x 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (/ -1 1) into -1 2.095 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.095 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.095 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.095 * [backup-simplify]: Simplify (+ 0 0) into 0 2.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.095 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) 2.095 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.096 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify (+ 0 0) into 0 2.098 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.100 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (sqrt (+ (exp (* -1 x)) (exp x))) 2.100 * * * [progress]: simplifying candidates 2.100 * * * * [progress]: [ 1 / 422 ] simplifiying candidate # 2.100 * * * * [progress]: [ 2 / 422 ] simplifiying candidate # 2.100 * * * * [progress]: [ 3 / 422 ] simplifiying candidate # 2.100 * * * * [progress]: [ 4 / 422 ] simplifiying candidate # 2.100 * * * * [progress]: [ 5 / 422 ] simplifiying candidate # 2.100 * * * * [progress]: [ 6 / 422 ] simplifiying candidate # 2.100 * * * * [progress]: [ 7 / 422 ] simplifiying candidate # 2.100 * * * * [progress]: [ 8 / 422 ] simplifiying candidate # 2.100 * * * * [progress]: [ 9 / 422 ] simplifiying candidate # 2.100 * * * * [progress]: [ 10 / 422 ] simplifiying candidate # 2.100 * * * * [progress]: [ 11 / 422 ] simplifiying candidate # 2.100 * * * * [progress]: [ 12 / 422 ] simplifiying candidate # 2.100 * * * * [progress]: [ 13 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 14 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 15 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 16 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 17 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 18 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 19 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 20 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 21 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 22 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 23 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 24 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 25 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 26 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 27 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 28 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 29 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 30 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 31 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 32 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 33 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 34 / 422 ] simplifiying candidate # 2.101 * * * * [progress]: [ 35 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 36 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 37 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 38 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 39 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 40 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 41 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 42 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 43 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 44 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 45 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 46 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 47 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 48 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 49 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 50 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 51 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 52 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 53 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 54 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 55 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 56 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 57 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 58 / 422 ] simplifiying candidate # 2.102 * * * * [progress]: [ 59 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 60 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 61 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 62 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 63 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 64 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 65 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 66 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 67 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 68 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 69 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 70 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 71 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 72 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 73 / 422 ] simplifiying candidate #real (real->posit16 (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))))))> 2.103 * * * * [progress]: [ 74 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 75 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 76 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 77 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 78 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 79 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 80 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 81 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 82 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 83 / 422 ] simplifiying candidate # 2.103 * * * * [progress]: [ 84 / 422 ] simplifiying candidate # 2.103 * * * 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(exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))))))> 2.116 * * * * [progress]: [ 390 / 422 ] simplifiying candidate # 2.116 * * * * [progress]: [ 391 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 392 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 393 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 394 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 395 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 396 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 397 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 398 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 399 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 400 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 401 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 402 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 403 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 404 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 405 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 406 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 407 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 408 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 409 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 410 / 422 ] simplifiying candidate #real (real->posit16 (sqrt (+ (exp x) (exp (- x)))))))))> 2.117 * * * * [progress]: [ 411 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 412 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 413 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 414 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 415 / 422 ] simplifiying candidate # 2.117 * * * * [progress]: [ 416 / 422 ] simplifiying candidate # 2.118 * * * * [progress]: [ 417 / 422 ] simplifiying candidate # 2.118 * * * * [progress]: [ 418 / 422 ] simplifiying candidate # 2.118 * * * * [progress]: [ 419 / 422 ] simplifiying candidate # 2.118 * * * * [progress]: [ 420 / 422 ] simplifiying candidate # 2.118 * * * * [progress]: [ 421 / 422 ] simplifiying candidate # 2.118 * * * * [progress]: [ 422 / 422 ] simplifiying candidate # 2.123 * [simplify]: Simplifying: (expm1 (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (log1p (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (- (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 (- 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#2: cost 771 inf + 1946 3.082 * * [simplify]: Extracting #3: cost 745 inf + 10944 3.107 * * [simplify]: Extracting #4: cost 588 inf + 51333 3.142 * * [simplify]: Extracting #5: cost 178 inf + 238503 3.192 * * [simplify]: Extracting #6: cost 7 inf + 324090 3.274 * * [simplify]: Extracting #7: cost 0 inf + 327181 3.357 * * [simplify]: Extracting #8: cost 0 inf + 327141 3.438 * [simplify]: Simplified to: (expm1 (/ (sqrt 2) (sqrt (+ (exp (- x)) (exp x))))) (log1p (/ (sqrt 2) (sqrt (+ (exp (- x)) (exp x))))) (log (/ (sqrt 2) (sqrt (+ (exp (- x)) (exp x))))) (log (/ (sqrt 2) (sqrt (+ (exp (- x)) (exp x))))) (exp (/ (sqrt 2) (sqrt (+ (exp (- x)) (exp x))))) (/ (* (sqrt 2) 2) (* (sqrt (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x)))) (* (cbrt (/ (sqrt 2) (sqrt (+ (exp (- x)) (exp x))))) (cbrt (/ (sqrt 2) (sqrt (+ (exp (- x)) (exp x)))))) (cbrt (/ (sqrt 2) (sqrt (+ (exp (- x)) (exp x))))) (* (/ (sqrt 2) (sqrt (+ (exp (- x)) (exp x)))) (* (/ (sqrt 2) (sqrt (+ (exp (- x)) (exp x)))) (/ (sqrt 2) 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x) (* x x)))) (* (sqrt 1/2) (sqrt 2))) (fma 1/128 (/ (* (sqrt 2) (* (* x x) (* x x))) (* (sqrt 1/2) 1/2)) (* 1/8 (/ (sqrt 2) (/ (sqrt 1/2) (* x x)))))) (* (sqrt (/ 1 (+ (exp (- x)) (exp x)))) (sqrt 2)) (* (sqrt 2) (sqrt (/ 1 (+ (exp (- x)) (exp x))))) (- (fma 5/96 (/ (sqrt 2) (/ (sqrt 1/2) (* (* x x) (* x x)))) (* (sqrt 1/2) (sqrt 2))) (fma 1/128 (/ (* (sqrt 2) (* (* x x) (* x x))) (* (sqrt 1/2) 1/2)) (* 1/8 (/ (sqrt 2) (/ (sqrt 1/2) (* x x)))))) (* (sqrt (/ 1 (+ (exp (- x)) (exp x)))) (sqrt 2)) (* (sqrt 2) (sqrt (/ 1 (+ (exp (- x)) (exp x))))) (- (fma 5/24 (* (* x x) (* x x)) 1) (* (* 1/2 x) x)) (/ 2 (+ (exp (- x)) (exp x))) (/ 2 (+ (exp (- x)) (exp x))) (- (+ (fma (/ (* (* x x) (* x x)) (sqrt 2)) 1/24 (/ (* 1/2 (* x x)) (sqrt 2))) (sqrt 2)) (/ (* 1/8 (* (* x x) (* x x))) (* (sqrt 2) 2))) (sqrt (+ (exp (- x)) (exp x))) (sqrt (+ (exp (- x)) (exp x))) 3.481 * * * [progress]: adding candidates to table 8.134 * * [progress]: iteration 3 / 4 8.134 * * * [progress]: picking best candidate 8.139 * * * * [pick]: Picked # 8.139 * * * [progress]: localizing error 8.181 * * * [progress]: generating rewritten candidates 8.181 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 8.208 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 8.235 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.266 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 8.455 * * * [progress]: generating series expansions 8.455 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 8.456 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 8.456 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 8.456 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 8.456 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 8.456 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 8.456 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.456 * [taylor]: Taking taylor expansion of (exp x) in x 8.456 * [taylor]: Taking taylor expansion of x in x 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify 1 into 1 8.456 * [backup-simplify]: Simplify (exp 0) into 1 8.456 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.456 * [taylor]: Taking taylor expansion of (- x) in x 8.456 * [taylor]: Taking taylor expansion of x in x 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify 1 into 1 8.457 * [backup-simplify]: Simplify (- 0) into 0 8.457 * [backup-simplify]: Simplify (- 1) into -1 8.457 * [backup-simplify]: Simplify (exp 0) into 1 8.457 * [backup-simplify]: Simplify (+ 1 1) into 2 8.458 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.458 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.459 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.459 * [backup-simplify]: Simplify (- 1) into -1 8.460 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 8.461 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.461 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 8.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.462 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.462 * [taylor]: Taking taylor expansion of 2 in x 8.462 * [backup-simplify]: Simplify 2 into 2 8.462 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.463 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 8.463 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 8.463 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 8.463 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.463 * [taylor]: Taking taylor expansion of (exp x) in x 8.463 * [taylor]: Taking taylor expansion of x in x 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 1 into 1 8.463 * [backup-simplify]: Simplify (exp 0) into 1 8.463 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.463 * [taylor]: Taking taylor expansion of (- x) in x 8.463 * [taylor]: Taking taylor expansion of x in x 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 1 into 1 8.464 * [backup-simplify]: Simplify (- 0) into 0 8.464 * [backup-simplify]: Simplify (- 1) into -1 8.464 * [backup-simplify]: Simplify (exp 0) into 1 8.464 * [backup-simplify]: Simplify (+ 1 1) into 2 8.465 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.465 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.466 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.466 * [backup-simplify]: Simplify (- 1) into -1 8.467 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 8.467 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.468 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 8.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.469 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.469 * [taylor]: Taking taylor expansion of 2 in x 8.469 * [backup-simplify]: Simplify 2 into 2 8.469 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.471 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 8.472 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 8.473 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 8.473 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.475 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.475 * [backup-simplify]: Simplify (- 1) into -1 8.476 * [backup-simplify]: Simplify (- 0) into 0 8.477 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.478 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 8.479 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 8.481 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 8.486 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 8.489 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 8.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.492 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 8.492 * [backup-simplify]: Simplify (- 1) into -1 8.492 * [backup-simplify]: Simplify (- 1) into -1 8.493 * [backup-simplify]: Simplify (- 0) into 0 8.493 * [backup-simplify]: Simplify (- 0) into 0 8.495 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 8.495 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 8.497 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 8.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 8.500 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 8.500 * [backup-simplify]: Simplify 0 into 0 8.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.505 * [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 8.505 * [backup-simplify]: Simplify (- 1) into -1 8.506 * [backup-simplify]: Simplify (- 1) into -1 8.506 * [backup-simplify]: Simplify (- 0) into 0 8.506 * [backup-simplify]: Simplify (- 1) into -1 8.507 * [backup-simplify]: Simplify (- 0) into 0 8.507 * [backup-simplify]: Simplify (- 0) into 0 8.507 * [backup-simplify]: Simplify (- 0) into 0 8.511 * [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 8.511 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 8.513 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 8.518 * [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))) 8.542 * [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)))) 8.548 * [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)))) 8.558 * [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))))) 8.559 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.559 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 8.559 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 8.559 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.559 * [taylor]: Taking taylor expansion of 2 in x 8.559 * [backup-simplify]: Simplify 2 into 2 8.559 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.560 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 8.560 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.560 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.560 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.560 * [taylor]: Taking taylor expansion of x in x 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 1 into 1 8.560 * [backup-simplify]: Simplify (/ 1 1) into 1 8.560 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.560 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.560 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.560 * [taylor]: Taking taylor expansion of x in x 8.560 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify 1 into 1 8.561 * [backup-simplify]: Simplify (/ 1 1) into 1 8.561 * [backup-simplify]: Simplify (- 1) into -1 8.561 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.561 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.562 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.562 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 8.562 * [backup-simplify]: Simplify (+ 0 0) into 0 8.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.562 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 8.563 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.563 * [taylor]: Taking taylor expansion of 2 in x 8.563 * [backup-simplify]: Simplify 2 into 2 8.563 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 8.564 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.564 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.564 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.564 * [taylor]: Taking taylor expansion of x in x 8.564 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify 1 into 1 8.564 * [backup-simplify]: Simplify (/ 1 1) into 1 8.564 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.564 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.564 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.564 * [taylor]: Taking taylor expansion of x in x 8.564 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify 1 into 1 8.565 * [backup-simplify]: Simplify (/ 1 1) into 1 8.565 * [backup-simplify]: Simplify (- 1) into -1 8.565 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.565 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.565 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.565 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 8.566 * [backup-simplify]: Simplify (+ 0 0) into 0 8.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.567 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.567 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.568 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify (+ 0 0) into 0 8.569 * [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 8.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.570 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.571 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 8.571 * [backup-simplify]: Simplify 0 into 0 8.571 * [backup-simplify]: Simplify (+ 0 0) into 0 8.572 * [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 8.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.575 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 8.575 * [backup-simplify]: Simplify 0 into 0 8.575 * [backup-simplify]: Simplify (+ 0 0) into 0 8.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.577 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.579 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 8.579 * [backup-simplify]: Simplify 0 into 0 8.580 * [backup-simplify]: Simplify (+ 0 0) into 0 8.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.584 * [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 8.584 * [backup-simplify]: Simplify 0 into 0 8.585 * [backup-simplify]: Simplify (+ 0 0) into 0 8.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.586 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.587 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.590 * [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 8.590 * [backup-simplify]: Simplify 0 into 0 8.590 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 8.591 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.591 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 8.591 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 8.591 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.591 * [taylor]: Taking taylor expansion of 2 in x 8.591 * [backup-simplify]: Simplify 2 into 2 8.591 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 8.592 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 8.592 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 8.592 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.592 * [taylor]: Taking taylor expansion of x in x 8.592 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify 1 into 1 8.592 * [backup-simplify]: Simplify (/ 1 1) into 1 8.592 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.592 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 8.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.592 * [taylor]: Taking taylor expansion of -1 in x 8.592 * [backup-simplify]: Simplify -1 into -1 8.592 * [taylor]: Taking taylor expansion of x in x 8.592 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify 1 into 1 8.593 * [backup-simplify]: Simplify (/ -1 1) into -1 8.593 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 8.593 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 8.593 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.593 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 8.593 * [backup-simplify]: Simplify (+ 0 0) into 0 8.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.594 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 8.594 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.594 * [taylor]: Taking taylor expansion of 2 in x 8.594 * [backup-simplify]: Simplify 2 into 2 8.594 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.595 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 8.595 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 8.595 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 8.595 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.595 * [taylor]: Taking taylor expansion of x in x 8.595 * [backup-simplify]: Simplify 0 into 0 8.595 * [backup-simplify]: Simplify 1 into 1 8.595 * [backup-simplify]: Simplify (/ 1 1) into 1 8.595 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.595 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 8.596 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.596 * [taylor]: Taking taylor expansion of -1 in x 8.596 * [backup-simplify]: Simplify -1 into -1 8.596 * [taylor]: Taking taylor expansion of x in x 8.596 * [backup-simplify]: Simplify 0 into 0 8.596 * [backup-simplify]: Simplify 1 into 1 8.596 * [backup-simplify]: Simplify (/ -1 1) into -1 8.596 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 8.596 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 8.596 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.596 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 8.597 * [backup-simplify]: Simplify (+ 0 0) into 0 8.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.598 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.598 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.599 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify (+ 0 0) into 0 8.600 * [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 8.600 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.601 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.602 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 8.602 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify (+ 0 0) into 0 8.603 * [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 8.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.606 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify (+ 0 0) into 0 8.607 * [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 8.608 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.609 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.610 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 8.610 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify (+ 0 0) into 0 8.611 * [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 8.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.615 * [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 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify (+ 0 0) into 0 8.616 * [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 8.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.618 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.620 * [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 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [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))))) 8.621 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 8.621 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 8.621 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 8.621 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 8.621 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 8.621 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 8.621 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.621 * [taylor]: Taking taylor expansion of (exp x) in x 8.621 * [taylor]: Taking taylor expansion of x in x 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 1 into 1 8.621 * [backup-simplify]: Simplify (exp 0) into 1 8.621 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.621 * [taylor]: Taking taylor expansion of (- x) in x 8.621 * [taylor]: Taking taylor expansion of x in x 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 1 into 1 8.622 * [backup-simplify]: Simplify (- 0) into 0 8.622 * [backup-simplify]: Simplify (- 1) into -1 8.622 * [backup-simplify]: Simplify (exp 0) into 1 8.622 * [backup-simplify]: Simplify (+ 1 1) into 2 8.623 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.623 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.624 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.624 * [backup-simplify]: Simplify (- 1) into -1 8.625 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 8.626 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.626 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 8.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.627 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.627 * [taylor]: Taking taylor expansion of 2 in x 8.627 * [backup-simplify]: Simplify 2 into 2 8.627 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.628 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 8.628 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 8.628 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 8.628 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.628 * [taylor]: Taking taylor expansion of (exp x) in x 8.628 * [taylor]: Taking taylor expansion of x in x 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (exp 0) into 1 8.628 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.628 * [taylor]: Taking taylor expansion of (- x) in x 8.628 * [taylor]: Taking taylor expansion of x in x 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (- 0) into 0 8.629 * [backup-simplify]: Simplify (- 1) into -1 8.629 * [backup-simplify]: Simplify (exp 0) into 1 8.629 * [backup-simplify]: Simplify (+ 1 1) into 2 8.630 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.630 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.631 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.631 * [backup-simplify]: Simplify (- 1) into -1 8.632 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 8.633 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.633 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 8.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.634 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.634 * [taylor]: Taking taylor expansion of 2 in x 8.634 * [backup-simplify]: Simplify 2 into 2 8.635 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.636 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 8.638 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 8.638 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 8.639 * [backup-simplify]: Simplify 0 into 0 8.639 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.641 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.641 * [backup-simplify]: Simplify (- 1) into -1 8.641 * [backup-simplify]: Simplify (- 0) into 0 8.643 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.643 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 8.644 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 8.648 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 8.653 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 8.656 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 8.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.662 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 8.663 * [backup-simplify]: Simplify (- 1) into -1 8.663 * [backup-simplify]: Simplify (- 1) into -1 8.663 * [backup-simplify]: Simplify (- 0) into 0 8.664 * [backup-simplify]: Simplify (- 0) into 0 8.666 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 8.666 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 8.667 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 8.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 8.670 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 8.670 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.675 * [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 8.675 * [backup-simplify]: Simplify (- 1) into -1 8.675 * [backup-simplify]: Simplify (- 1) into -1 8.676 * [backup-simplify]: Simplify (- 0) into 0 8.676 * [backup-simplify]: Simplify (- 1) into -1 8.676 * [backup-simplify]: Simplify (- 0) into 0 8.677 * [backup-simplify]: Simplify (- 0) into 0 8.677 * [backup-simplify]: Simplify (- 0) into 0 8.680 * [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 8.680 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 8.681 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 8.685 * [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))) 8.702 * [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)))) 8.708 * [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)))) 8.718 * [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))))) 8.719 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.719 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 8.719 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 8.719 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.719 * [taylor]: Taking taylor expansion of 2 in x 8.719 * [backup-simplify]: Simplify 2 into 2 8.719 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.720 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 8.720 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.720 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.720 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.720 * [taylor]: Taking taylor expansion of x in x 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 1 into 1 8.720 * [backup-simplify]: Simplify (/ 1 1) into 1 8.720 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.720 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.721 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.721 * [taylor]: Taking taylor expansion of x in x 8.721 * [backup-simplify]: Simplify 0 into 0 8.721 * [backup-simplify]: Simplify 1 into 1 8.721 * [backup-simplify]: Simplify (/ 1 1) into 1 8.721 * [backup-simplify]: Simplify (- 1) into -1 8.721 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.721 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.722 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.722 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 8.722 * [backup-simplify]: Simplify (+ 0 0) into 0 8.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.723 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 8.723 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.723 * [taylor]: Taking taylor expansion of 2 in x 8.723 * [backup-simplify]: Simplify 2 into 2 8.723 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.724 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 8.724 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.724 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.724 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.724 * [taylor]: Taking taylor expansion of x in x 8.724 * [backup-simplify]: Simplify 0 into 0 8.724 * [backup-simplify]: Simplify 1 into 1 8.724 * [backup-simplify]: Simplify (/ 1 1) into 1 8.724 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.724 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.724 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.724 * [taylor]: Taking taylor expansion of x in x 8.724 * [backup-simplify]: Simplify 0 into 0 8.724 * [backup-simplify]: Simplify 1 into 1 8.725 * [backup-simplify]: Simplify (/ 1 1) into 1 8.725 * [backup-simplify]: Simplify (- 1) into -1 8.725 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.725 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.725 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.725 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 8.726 * [backup-simplify]: Simplify (+ 0 0) into 0 8.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.727 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.727 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.728 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify (+ 0 0) into 0 8.729 * [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 8.729 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.730 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.731 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 8.731 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify (+ 0 0) into 0 8.732 * [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 8.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.735 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 8.735 * [backup-simplify]: Simplify 0 into 0 8.735 * [backup-simplify]: Simplify (+ 0 0) into 0 8.736 * [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 8.737 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.738 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.740 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 8.740 * [backup-simplify]: Simplify 0 into 0 8.740 * [backup-simplify]: Simplify (+ 0 0) into 0 8.741 * [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 8.741 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.744 * [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 8.744 * [backup-simplify]: Simplify 0 into 0 8.744 * [backup-simplify]: Simplify (+ 0 0) into 0 8.745 * [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 8.746 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.747 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.749 * [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 8.749 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 8.751 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.751 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 8.751 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 8.751 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.751 * [taylor]: Taking taylor expansion of 2 in x 8.751 * [backup-simplify]: Simplify 2 into 2 8.751 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.752 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 8.752 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 8.752 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 8.752 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.752 * [taylor]: Taking taylor expansion of x in x 8.752 * [backup-simplify]: Simplify 0 into 0 8.752 * [backup-simplify]: Simplify 1 into 1 8.752 * [backup-simplify]: Simplify (/ 1 1) into 1 8.752 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.752 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 8.752 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.752 * [taylor]: Taking taylor expansion of -1 in x 8.752 * [backup-simplify]: Simplify -1 into -1 8.752 * [taylor]: Taking taylor expansion of x in x 8.752 * [backup-simplify]: Simplify 0 into 0 8.752 * [backup-simplify]: Simplify 1 into 1 8.753 * [backup-simplify]: Simplify (/ -1 1) into -1 8.753 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 8.753 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 8.753 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.753 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 8.753 * [backup-simplify]: Simplify (+ 0 0) into 0 8.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.754 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 8.754 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.754 * [taylor]: Taking taylor expansion of 2 in x 8.754 * [backup-simplify]: Simplify 2 into 2 8.754 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.755 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 8.755 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 8.755 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 8.755 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.755 * [taylor]: Taking taylor expansion of x in x 8.755 * [backup-simplify]: Simplify 0 into 0 8.755 * [backup-simplify]: Simplify 1 into 1 8.755 * [backup-simplify]: Simplify (/ 1 1) into 1 8.755 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.755 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 8.755 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.755 * [taylor]: Taking taylor expansion of -1 in x 8.755 * [backup-simplify]: Simplify -1 into -1 8.755 * [taylor]: Taking taylor expansion of x in x 8.755 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify 1 into 1 8.756 * [backup-simplify]: Simplify (/ -1 1) into -1 8.756 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 8.756 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 8.756 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.756 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 8.757 * [backup-simplify]: Simplify (+ 0 0) into 0 8.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.758 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.758 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.759 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify (+ 0 0) into 0 8.759 * [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 8.760 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.761 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.762 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 8.762 * [backup-simplify]: Simplify 0 into 0 8.762 * [backup-simplify]: Simplify (+ 0 0) into 0 8.763 * [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 8.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.766 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify (+ 0 0) into 0 8.767 * [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 8.768 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.769 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.774 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.775 * [backup-simplify]: Simplify (+ 0 0) into 0 8.775 * [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 8.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.779 * [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 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify (+ 0 0) into 0 8.780 * [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 8.781 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.782 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.783 * [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 8.783 * [backup-simplify]: Simplify 0 into 0 8.784 * [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))))) 8.784 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 8.784 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 8.784 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in (x) around 0 8.784 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 8.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 8.784 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 8.784 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.784 * [taylor]: Taking taylor expansion of (exp x) in x 8.784 * [taylor]: Taking taylor expansion of x in x 8.784 * [backup-simplify]: Simplify 0 into 0 8.784 * [backup-simplify]: Simplify 1 into 1 8.784 * [backup-simplify]: Simplify (exp 0) into 1 8.784 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.784 * [taylor]: Taking taylor expansion of (- x) in x 8.784 * [taylor]: Taking taylor expansion of x in x 8.784 * [backup-simplify]: Simplify 0 into 0 8.784 * [backup-simplify]: Simplify 1 into 1 8.784 * [backup-simplify]: Simplify (- 0) into 0 8.785 * [backup-simplify]: Simplify (- 1) into -1 8.785 * [backup-simplify]: Simplify (exp 0) into 1 8.785 * [backup-simplify]: Simplify (+ 1 1) into 2 8.785 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.786 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.787 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.787 * [backup-simplify]: Simplify (- 1) into -1 8.788 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 8.788 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.789 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 8.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.789 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.790 * [taylor]: Taking taylor expansion of 2 in x 8.790 * [backup-simplify]: Simplify 2 into 2 8.790 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.790 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) in x 8.790 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 8.790 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 8.791 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.791 * [taylor]: Taking taylor expansion of (exp x) in x 8.791 * [taylor]: Taking taylor expansion of x in x 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * [backup-simplify]: Simplify 1 into 1 8.791 * [backup-simplify]: Simplify (exp 0) into 1 8.791 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.791 * [taylor]: Taking taylor expansion of (- x) in x 8.791 * [taylor]: Taking taylor expansion of x in x 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * [backup-simplify]: Simplify 1 into 1 8.791 * [backup-simplify]: Simplify (- 0) into 0 8.791 * [backup-simplify]: Simplify (- 1) into -1 8.791 * [backup-simplify]: Simplify (exp 0) into 1 8.792 * [backup-simplify]: Simplify (+ 1 1) into 2 8.792 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.792 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.793 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.794 * [backup-simplify]: Simplify (- 1) into -1 8.795 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 8.795 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.796 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 8.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.796 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.796 * [taylor]: Taking taylor expansion of 2 in x 8.796 * [backup-simplify]: Simplify 2 into 2 8.797 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.798 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) 8.800 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 8.800 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 2))) into 0 8.800 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.803 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.803 * [backup-simplify]: Simplify (- 1) into -1 8.803 * [backup-simplify]: Simplify (- 0) into 0 8.805 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.805 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 8.806 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 8.809 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 8.814 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/8 (sqrt 1/2)) (sqrt 2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 8.817 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2) (sqrt 1/2)))) 8.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.820 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 8.820 * [backup-simplify]: Simplify (- 1) into -1 8.820 * [backup-simplify]: Simplify (- 1) into -1 8.821 * [backup-simplify]: Simplify (- 0) into 0 8.821 * [backup-simplify]: Simplify (- 0) into 0 8.823 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 8.823 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 8.825 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 8.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 8.828 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/8 (sqrt 1/2)) 0) (* 0 (sqrt 2))))) into 0 8.828 * [backup-simplify]: Simplify 0 into 0 8.829 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.831 * [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 8.831 * [backup-simplify]: Simplify (- 1) into -1 8.831 * [backup-simplify]: Simplify (- 1) into -1 8.832 * [backup-simplify]: Simplify (- 0) into 0 8.832 * [backup-simplify]: Simplify (- 1) into -1 8.832 * [backup-simplify]: Simplify (- 0) into 0 8.832 * [backup-simplify]: Simplify (- 0) into 0 8.833 * [backup-simplify]: Simplify (- 0) into 0 8.835 * [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 8.835 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 8.836 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 8.840 * [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))) 8.854 * [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)))) 8.858 * [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)))) 8.866 * [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))))) 8.866 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.866 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 8.866 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 8.866 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.866 * [taylor]: Taking taylor expansion of 2 in x 8.866 * [backup-simplify]: Simplify 2 into 2 8.866 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.867 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 8.867 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.867 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.867 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.867 * [taylor]: Taking taylor expansion of x in x 8.867 * [backup-simplify]: Simplify 0 into 0 8.867 * [backup-simplify]: Simplify 1 into 1 8.867 * [backup-simplify]: Simplify (/ 1 1) into 1 8.867 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.867 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.867 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.867 * [taylor]: Taking taylor expansion of x in x 8.867 * [backup-simplify]: Simplify 0 into 0 8.867 * [backup-simplify]: Simplify 1 into 1 8.868 * [backup-simplify]: Simplify (/ 1 1) into 1 8.868 * [backup-simplify]: Simplify (- 1) into -1 8.868 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.868 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.868 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.868 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 8.869 * [backup-simplify]: Simplify (+ 0 0) into 0 8.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.869 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 8.869 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.869 * [taylor]: Taking taylor expansion of 2 in x 8.869 * [backup-simplify]: Simplify 2 into 2 8.869 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 8.870 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.870 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.870 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.870 * [taylor]: Taking taylor expansion of x in x 8.870 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify 1 into 1 8.870 * [backup-simplify]: Simplify (/ 1 1) into 1 8.870 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.870 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.870 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.870 * [taylor]: Taking taylor expansion of x in x 8.870 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify 1 into 1 8.870 * [backup-simplify]: Simplify (/ 1 1) into 1 8.874 * [backup-simplify]: Simplify (- 1) into -1 8.874 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.874 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.874 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.874 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 8.875 * [backup-simplify]: Simplify (+ 0 0) into 0 8.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.875 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.876 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 8.876 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.876 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify (+ 0 0) into 0 8.877 * [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 8.877 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.878 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.879 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 8.879 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify (+ 0 0) into 0 8.880 * [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 8.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.882 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 8.882 * [backup-simplify]: Simplify 0 into 0 8.883 * [backup-simplify]: Simplify (+ 0 0) into 0 8.883 * [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 8.884 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.885 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.887 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 8.887 * [backup-simplify]: Simplify 0 into 0 8.887 * [backup-simplify]: Simplify (+ 0 0) into 0 8.888 * [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 8.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.892 * [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 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [backup-simplify]: Simplify (+ 0 0) into 0 8.893 * [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 8.894 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 8.895 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.897 * [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 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2)) 8.898 * [backup-simplify]: Simplify (/ (sqrt 2) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.898 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 8.898 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 8.898 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.898 * [taylor]: Taking taylor expansion of 2 in x 8.898 * [backup-simplify]: Simplify 2 into 2 8.898 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 8.898 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 8.898 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 8.898 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.898 * [taylor]: Taking taylor expansion of x in x 8.898 * [backup-simplify]: Simplify 0 into 0 8.898 * [backup-simplify]: Simplify 1 into 1 8.899 * [backup-simplify]: Simplify (/ 1 1) into 1 8.899 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.899 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 8.899 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.899 * [taylor]: Taking taylor expansion of -1 in x 8.899 * [backup-simplify]: Simplify -1 into -1 8.899 * [taylor]: Taking taylor expansion of x in x 8.899 * [backup-simplify]: Simplify 0 into 0 8.899 * [backup-simplify]: Simplify 1 into 1 8.899 * [backup-simplify]: Simplify (/ -1 1) into -1 8.899 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 8.899 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 8.899 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.899 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 8.900 * [backup-simplify]: Simplify (+ 0 0) into 0 8.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.900 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 8.900 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.900 * [taylor]: Taking taylor expansion of 2 in x 8.900 * [backup-simplify]: Simplify 2 into 2 8.900 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 8.901 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 8.901 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 8.901 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.901 * [taylor]: Taking taylor expansion of x in x 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 1 into 1 8.901 * [backup-simplify]: Simplify (/ 1 1) into 1 8.901 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.901 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 8.901 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.902 * [taylor]: Taking taylor expansion of -1 in x 8.902 * [backup-simplify]: Simplify -1 into -1 8.902 * [taylor]: Taking taylor expansion of x in x 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.902 * [backup-simplify]: Simplify (/ -1 1) into -1 8.902 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 8.902 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 8.902 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 8.902 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 8.903 * [backup-simplify]: Simplify (+ 0 0) into 0 8.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.904 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.904 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 8.905 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify (+ 0 0) into 0 8.905 * [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))))))) into 0 8.906 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.907 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.908 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 8.908 * [backup-simplify]: Simplify 0 into 0 8.908 * [backup-simplify]: Simplify (+ 0 0) into 0 8.909 * [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 8.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.911 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 8.911 * [backup-simplify]: Simplify 0 into 0 8.911 * [backup-simplify]: Simplify (+ 0 0) into 0 8.912 * [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 8.912 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.913 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.914 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 8.914 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify (+ 0 0) into 0 8.915 * [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 8.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.918 * [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 8.918 * [backup-simplify]: Simplify 0 into 0 8.918 * [backup-simplify]: Simplify (+ 0 0) into 0 8.918 * [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 8.919 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 8.920 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.921 * [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 8.921 * [backup-simplify]: Simplify 0 into 0 8.922 * [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))))) 8.922 * * * * [progress]: [ 4 / 4 ] generating series at (2) 8.923 * [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)))) 8.923 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in (x) around 0 8.923 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in x 8.923 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 8.923 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.923 * [taylor]: Taking taylor expansion of 2 in x 8.923 * [backup-simplify]: Simplify 2 into 2 8.923 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.924 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.924 * [taylor]: Taking taylor expansion of (exp x) in x 8.924 * [taylor]: Taking taylor expansion of x in x 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 1 into 1 8.924 * [backup-simplify]: Simplify (exp 0) into 1 8.924 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.924 * [taylor]: Taking taylor expansion of (- x) in x 8.924 * [taylor]: Taking taylor expansion of x in x 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 1 into 1 8.924 * [backup-simplify]: Simplify (- 0) into 0 8.924 * [backup-simplify]: Simplify (- 1) into -1 8.924 * [backup-simplify]: Simplify (exp 0) into 1 8.925 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 8.925 * [backup-simplify]: Simplify (+ 1 1) into 2 8.926 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 2) into (* 1/2 (pow (sqrt 2) 2)) 8.926 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) in x 8.926 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 8.926 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.926 * [taylor]: Taking taylor expansion of 2 in x 8.926 * [backup-simplify]: Simplify 2 into 2 8.926 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.927 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 8.927 * [taylor]: Taking taylor expansion of (exp x) in x 8.927 * [taylor]: Taking taylor expansion of x in x 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 1 into 1 8.927 * [backup-simplify]: Simplify (exp 0) into 1 8.927 * [taylor]: Taking taylor expansion of (exp (- x)) in x 8.927 * [taylor]: Taking taylor expansion of (- x) in x 8.927 * [taylor]: Taking taylor expansion of x in x 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 1 into 1 8.927 * [backup-simplify]: Simplify (- 0) into 0 8.928 * [backup-simplify]: Simplify (- 1) into -1 8.928 * [backup-simplify]: Simplify (exp 0) into 1 8.928 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 8.929 * [backup-simplify]: Simplify (+ 1 1) into 2 8.929 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 2) into (* 1/2 (pow (sqrt 2) 2)) 8.930 * [backup-simplify]: Simplify (* 1/2 (pow (sqrt 2) 2)) into (* 1/2 (pow (sqrt 2) 2)) 8.931 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 8.932 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.932 * [backup-simplify]: Simplify (- 1) into -1 8.933 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 8.933 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.934 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 0 2)))) into 0 8.934 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.936 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 8.938 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.938 * [backup-simplify]: Simplify (- 1) into -1 8.938 * [backup-simplify]: Simplify (- 0) into 0 8.940 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 8.940 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 8.944 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* (* 1/2 (pow (sqrt 2) 2)) (/ 1 2)) (* 0 (/ 0 2)))) into (- (* 1/4 (pow (sqrt 2) 2))) 8.945 * [backup-simplify]: Simplify (- (* 1/4 (pow (sqrt 2) 2))) into (- (* 1/4 (pow (sqrt 2) 2))) 8.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.947 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 8.948 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 8.948 * [backup-simplify]: Simplify (- 1) into -1 8.949 * [backup-simplify]: Simplify (- 1) into -1 8.949 * [backup-simplify]: Simplify (- 0) into 0 8.949 * [backup-simplify]: Simplify (- 0) into 0 8.951 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 8.951 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 8.952 * [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 8.952 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.954 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 8.956 * [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 8.956 * [backup-simplify]: Simplify (- 1) into -1 8.957 * [backup-simplify]: Simplify (- 1) into -1 8.957 * [backup-simplify]: Simplify (- 0) into 0 8.957 * [backup-simplify]: Simplify (- 1) into -1 8.957 * [backup-simplify]: Simplify (- 0) into 0 8.958 * [backup-simplify]: Simplify (- 0) into 0 8.958 * [backup-simplify]: Simplify (- 0) into 0 8.960 * [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 8.960 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 8.973 * [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)) 8.974 * [backup-simplify]: Simplify (* 5/48 (pow (sqrt 2) 2)) into (* 5/48 (pow (sqrt 2) 2)) 8.977 * [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)))) 8.979 * [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))))) 8.979 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 8.979 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.979 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 8.979 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.979 * [taylor]: Taking taylor expansion of 2 in x 8.979 * [backup-simplify]: Simplify 2 into 2 8.979 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.979 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.979 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.979 * [taylor]: Taking taylor expansion of x in x 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 1 into 1 8.980 * [backup-simplify]: Simplify (/ 1 1) into 1 8.980 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.980 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.980 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.980 * [taylor]: Taking taylor expansion of x in x 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify 1 into 1 8.980 * [backup-simplify]: Simplify (/ 1 1) into 1 8.980 * [backup-simplify]: Simplify (- 1) into -1 8.980 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.981 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 8.981 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.982 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.982 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 8.982 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 8.982 * [taylor]: Taking taylor expansion of (sqrt 2) in x 8.982 * [taylor]: Taking taylor expansion of 2 in x 8.982 * [backup-simplify]: Simplify 2 into 2 8.982 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.983 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 8.983 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 8.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.983 * [taylor]: Taking taylor expansion of x in x 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 1 into 1 8.983 * [backup-simplify]: Simplify (/ 1 1) into 1 8.983 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 8.983 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 8.983 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.983 * [taylor]: Taking taylor expansion of x in x 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 1 into 1 8.983 * [backup-simplify]: Simplify (/ 1 1) into 1 8.984 * [backup-simplify]: Simplify (- 1) into -1 8.984 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 8.985 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 8.985 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 8.985 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.986 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 8.987 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 8.987 * [backup-simplify]: Simplify (+ 0 0) into 0 8.988 * [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 8.988 * [backup-simplify]: Simplify 0 into 0 8.988 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.989 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 8.989 * [backup-simplify]: Simplify (+ 0 0) into 0 8.990 * [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 8.990 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.991 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 8.992 * [backup-simplify]: Simplify (+ 0 0) into 0 8.993 * [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 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.994 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 8.995 * [backup-simplify]: Simplify (+ 0 0) into 0 8.996 * [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 8.996 * [backup-simplify]: Simplify 0 into 0 8.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 8.997 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 8.997 * [backup-simplify]: Simplify (+ 0 0) into 0 8.999 * [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 8.999 * [backup-simplify]: Simplify 0 into 0 9.000 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.001 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 9.001 * [backup-simplify]: Simplify (+ 0 0) into 0 9.002 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) 9.004 * [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)))) 9.004 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 9.004 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 9.004 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 9.004 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.004 * [taylor]: Taking taylor expansion of 2 in x 9.004 * [backup-simplify]: Simplify 2 into 2 9.005 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.005 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 9.005 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.005 * [taylor]: Taking taylor expansion of x in x 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.005 * [backup-simplify]: Simplify (/ 1 1) into 1 9.006 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.006 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 9.006 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.006 * [taylor]: Taking taylor expansion of -1 in x 9.006 * [backup-simplify]: Simplify -1 into -1 9.006 * [taylor]: Taking taylor expansion of x in x 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (/ -1 1) into -1 9.006 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 9.007 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 9.007 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 9.007 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 9.007 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 9.007 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 9.008 * [taylor]: Taking taylor expansion of (sqrt 2) in x 9.008 * [taylor]: Taking taylor expansion of 2 in x 9.008 * [backup-simplify]: Simplify 2 into 2 9.008 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.008 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 9.008 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 9.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.008 * [taylor]: Taking taylor expansion of x in x 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify 1 into 1 9.009 * [backup-simplify]: Simplify (/ 1 1) into 1 9.009 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 9.009 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 9.009 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.009 * [taylor]: Taking taylor expansion of -1 in x 9.009 * [backup-simplify]: Simplify -1 into -1 9.009 * [taylor]: Taking taylor expansion of x in x 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 1 into 1 9.009 * [backup-simplify]: Simplify (/ -1 1) into -1 9.009 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 9.010 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 9.010 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 9.010 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 9.011 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) 9.012 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 9.012 * [backup-simplify]: Simplify (+ 0 0) into 0 9.013 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.014 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 9.014 * [backup-simplify]: Simplify (+ 0 0) into 0 9.015 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.015 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.017 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 9.017 * [backup-simplify]: Simplify (+ 0 0) into 0 9.018 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.018 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.019 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 9.020 * [backup-simplify]: Simplify (+ 0 0) into 0 9.021 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.022 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 9.022 * [backup-simplify]: Simplify (+ 0 0) into 0 9.023 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.023 * [backup-simplify]: Simplify 0 into 0 9.024 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 9.025 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 9.025 * [backup-simplify]: Simplify (+ 0 0) into 0 9.027 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 9.027 * [backup-simplify]: Simplify 0 into 0 9.027 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ (pow (sqrt 2) 2) (+ (exp (* -1 x)) (exp x))) 9.027 * * * [progress]: simplifying candidates 9.027 * * * * [progress]: [ 1 / 316 ] simplifiying candidate # 9.027 * * * * [progress]: [ 2 / 316 ] simplifiying candidate # 9.027 * * * * [progress]: [ 3 / 316 ] simplifiying candidate # 9.027 * * * * [progress]: [ 4 / 316 ] simplifiying candidate # 9.028 * * * * [progress]: [ 5 / 316 ] simplifiying candidate # 9.028 * * * * [progress]: 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* * * * [progress]: [ 22 / 316 ] simplifiying candidate # 9.028 * * * * [progress]: [ 23 / 316 ] simplifiying candidate # 9.028 * * * * [progress]: [ 24 / 316 ] simplifiying candidate # 9.028 * * * * [progress]: [ 25 / 316 ] simplifiying candidate # 9.028 * * * * [progress]: [ 26 / 316 ] simplifiying candidate # 9.029 * * * * [progress]: [ 27 / 316 ] simplifiying candidate # 9.029 * * * * [progress]: [ 28 / 316 ] simplifiying candidate # 9.029 * * * * [progress]: [ 29 / 316 ] simplifiying candidate # 9.029 * * * * [progress]: [ 30 / 316 ] simplifiying candidate # 9.029 * * * * [progress]: [ 31 / 316 ] simplifiying candidate # 9.029 * * * * [progress]: [ 32 / 316 ] simplifiying candidate # 9.029 * * * * [progress]: [ 33 / 316 ] simplifiying candidate # 9.029 * * * * [progress]: [ 34 / 316 ] simplifiying candidate # 9.029 * * * * [progress]: [ 35 / 316 ] simplifiying candidate # 9.029 * * * * [progress]: [ 36 / 316 ] simplifiying candidate # 9.029 * * * * [progress]: [ 37 / 316 ] 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candidate # 9.030 * * * * [progress]: [ 69 / 316 ] simplifiying candidate # 9.030 * * * * [progress]: [ 70 / 316 ] simplifiying candidate # 9.030 * * * * [progress]: [ 71 / 316 ] simplifiying candidate # 9.030 * * * * [progress]: [ 72 / 316 ] simplifiying candidate # 9.031 * * * * [progress]: [ 73 / 316 ] simplifiying candidate #real (real->posit16 (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))))))> 9.031 * * * * [progress]: [ 74 / 316 ] simplifiying candidate # 9.031 * * * * [progress]: [ 75 / 316 ] simplifiying candidate # 9.031 * * * * [progress]: [ 76 / 316 ] simplifiying candidate # 9.031 * * * * [progress]: [ 77 / 316 ] simplifiying candidate # 9.031 * * * * [progress]: [ 78 / 316 ] simplifiying candidate # 9.031 * * * * [progress]: [ 79 / 316 ] simplifiying candidate # 9.031 * * * * [progress]: [ 80 / 316 ] simplifiying candidate # 9.031 * * * * [progress]: [ 81 / 316 ] simplifiying candidate # 9.031 * * * * [progress]: [ 82 / 316 ] simplifiying candidate # 9.031 * * * * 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9.034 * * * * [progress]: [ 145 / 316 ] simplifiying candidate # 9.034 * * * * [progress]: [ 146 / 316 ] simplifiying candidate #real (real->posit16 (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))))> 9.034 * * * * [progress]: [ 147 / 316 ] simplifiying candidate # 9.034 * * * * [progress]: [ 148 / 316 ] simplifiying candidate # 9.034 * * * * [progress]: [ 149 / 316 ] simplifiying candidate # 9.034 * * * * [progress]: [ 150 / 316 ] simplifiying candidate # 9.034 * * * * [progress]: [ 151 / 316 ] simplifiying candidate # 9.034 * * * * [progress]: [ 152 / 316 ] simplifiying candidate # 9.034 * * * * [progress]: [ 153 / 316 ] simplifiying candidate # 9.034 * * * * [progress]: [ 154 / 316 ] simplifiying candidate # 9.034 * * * * [progress]: [ 155 / 316 ] simplifiying candidate # 9.034 * * * * [progress]: [ 156 / 316 ] simplifiying candidate # 9.034 * * * * [progress]: [ 157 / 316 ] simplifiying candidate # 9.034 * * * * [progress]: [ 158 / 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#real (real->posit16 (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))))> 9.037 * * * * [progress]: [ 220 / 316 ] simplifiying candidate # 9.037 * * * * [progress]: [ 221 / 316 ] simplifiying candidate # 9.037 * * * * [progress]: [ 222 / 316 ] simplifiying candidate # 9.037 * * * * [progress]: [ 223 / 316 ] simplifiying candidate # 9.037 * * * * [progress]: [ 224 / 316 ] simplifiying candidate # 9.037 * * * * [progress]: [ 225 / 316 ] simplifiying candidate # 9.037 * * * * [progress]: [ 226 / 316 ] simplifiying candidate # 9.037 * * * * [progress]: [ 227 / 316 ] simplifiying candidate # 9.037 * * * * [progress]: [ 228 / 316 ] simplifiying candidate # 9.037 * * * * [progress]: [ 229 / 316 ] simplifiying candidate # 9.037 * * * * [progress]: [ 230 / 316 ] simplifiying candidate # 9.037 * * * * [progress]: [ 231 / 316 ] simplifiying candidate # 9.037 * * * * [progress]: [ 232 / 316 ] 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9.040 * * * * [progress]: [ 294 / 316 ] simplifiying candidate # 9.040 * * * * [progress]: [ 295 / 316 ] simplifiying candidate # 9.040 * * * * [progress]: [ 296 / 316 ] simplifiying candidate # 9.040 * * * * [progress]: [ 297 / 316 ] simplifiying candidate # 9.040 * * * * [progress]: [ 298 / 316 ] simplifiying candidate # 9.040 * * * * [progress]: [ 299 / 316 ] simplifiying candidate # 9.040 * * * * [progress]: [ 300 / 316 ] simplifiying candidate # 9.040 * * * * [progress]: [ 301 / 316 ] simplifiying candidate # 9.040 * * * * [progress]: [ 302 / 316 ] simplifiying candidate # 9.040 * * * * [progress]: [ 303 / 316 ] simplifiying candidate #real (real->posit16 (* (* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))) (sqrt (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))))))> 9.041 * * * * [progress]: [ 304 / 316 ] simplifiying candidate # 9.041 * * * * [progress]: [ 305 / 316 ] simplifiying candidate # 9.041 * * * * [progress]: [ 306 / 316 ] simplifiying candidate # 9.041 * * * * [progress]: [ 307 / 316 ] simplifiying candidate # 9.041 * * * * [progress]: [ 308 / 316 ] simplifiying candidate # 9.041 * * * * [progress]: [ 309 / 316 ] simplifiying candidate # 9.041 * * * * [progress]: [ 310 / 316 ] simplifiying candidate # 9.041 * * * * [progress]: [ 311 / 316 ] simplifiying candidate # 9.041 * * * * [progress]: [ 312 / 316 ] simplifiying candidate # 9.041 * * * * [progress]: [ 313 / 316 ] simplifiying candidate # 9.041 * * * * [progress]: [ 314 / 316 ] simplifiying candidate # 9.041 * * * * [progress]: [ 315 / 316 ] simplifiying candidate # 9.041 * * * * [progress]: [ 316 / 316 ] simplifiying candidate # 9.045 * [simplify]: Simplifying: (expm1 (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (log1p (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))) (- (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) 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(sqrt 2) 2) (pow x 2)))) (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))) (/ (pow (sqrt 2) 2) (+ (exp (* -1 x)) (exp x))) 9.051 * * [simplify]: iteration 0: 262 enodes 9.147 * * [simplify]: iteration 1: 619 enodes 9.386 * * [simplify]: iteration 2: 1928 enodes 9.679 * * [simplify]: iteration 3: 2001 enodes 9.993 * * [simplify]: iteration complete: 2001 enodes 9.993 * * [simplify]: Extracting #0: cost 102 inf + 0 9.994 * * [simplify]: Extracting #1: cost 518 inf + 125 10.002 * * [simplify]: Extracting #2: cost 692 inf + 1971 10.006 * * [simplify]: Extracting #3: cost 706 inf + 5232 10.013 * * [simplify]: Extracting #4: cost 644 inf + 17368 10.021 * * [simplify]: Extracting #5: cost 579 inf + 37687 10.035 * * [simplify]: Extracting #6: cost 446 inf + 91547 10.063 * * [simplify]: Extracting #7: cost 184 inf + 220638 10.113 * * [simplify]: Extracting #8: cost 24 inf + 309099 10.162 * * [simplify]: Extracting #9: cost 0 inf + 322642 10.212 * * [simplify]: Extracting #10: cost 0 inf + 322603 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(sqrt 2) (sqrt 1/2)) (* (* x x) (* x x))))))) (* (sqrt 2) (sqrt (/ 1 (+ (exp (- x)) (exp x))))) (* (sqrt 2) (sqrt (/ 1 (+ (exp (- x)) (exp x))))) (fma -1/2 (* x x) (fma (* (* x x) (* x x)) 5/24 1)) (/ 2 (+ (exp (- x)) (exp x))) (/ 2 (+ (exp (- x)) (exp x))) 10.306 * * * [progress]: adding candidates to table 14.031 * [progress]: [Phase 3 of 3] Extracting. 14.031 * * [regime]: Finding splitpoints for: (# #) 14.032 * * * [regime-changes]: Trying 3 branch expressions: ((+ (exp x) (exp (- x))) (/ 2 (+ (exp x) (exp (- x)))) x) 14.032 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# #) 14.076 * * * * [regimes]: Trying to branch on (/ 2 (+ (exp x) (exp (- x)))) from (# #) 14.107 * * * * [regimes]: Trying to branch on x from (# #) 14.124 * * * [regime]: Found split indices: #