31.025 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.027 * [simplify]: Simplifying: (/ 2 (+ (exp x) (exp (- x)))) 0.027 * * [simplify]: iteration 0: 7 enodes 0.028 * * [simplify]: iteration 1: 10 enodes 0.029 * * [simplify]: iteration 2: 12 enodes 0.031 * * [simplify]: iteration complete: 12 enodes 0.031 * * [simplify]: Extracting #0: cost 1 inf + 0 0.031 * * [simplify]: Extracting #1: cost 3 inf + 0 0.031 * * [simplify]: Extracting #2: cost 4 inf + 1 0.031 * * [simplify]: Extracting #3: cost 7 inf + 1 0.031 * * [simplify]: Extracting #4: cost 0 inf + 709 0.031 * [simplify]: Simplified to: (/ 2 (+ (exp x) (exp (- x)))) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.083 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.100 * * * [progress]: generating series expansions 0.100 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.100 * [backup-simplify]: Simplify (/ 2 (+ (exp x) (exp (- x)))) into (/ 2 (+ (exp x) (exp (- x)))) 0.100 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in (x) around 0 0.100 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x 0.100 * [taylor]: Taking taylor expansion of 2 in x 0.100 * [backup-simplify]: Simplify 2 into 2 0.100 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.100 * [taylor]: Taking taylor expansion of (exp x) in x 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 (exp 0) into 1 0.100 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.100 * [taylor]: Taking taylor expansion of (- x) in x 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 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (- 1) into -1 0.101 * [backup-simplify]: Simplify (exp 0) into 1 0.102 * [backup-simplify]: Simplify (+ 1 1) into 2 0.102 * [backup-simplify]: Simplify (/ 2 2) into 1 0.102 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x 0.102 * [taylor]: Taking taylor expansion of 2 in x 0.102 * [backup-simplify]: Simplify 2 into 2 0.102 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.102 * [taylor]: Taking taylor expansion of (exp x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (exp 0) into 1 0.102 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.102 * [taylor]: Taking taylor expansion of (- x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (- 1) into -1 0.103 * [backup-simplify]: Simplify (exp 0) into 1 0.103 * [backup-simplify]: Simplify (+ 1 1) into 2 0.104 * [backup-simplify]: Simplify (/ 2 2) into 1 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.106 * [backup-simplify]: Simplify (- 1) into -1 0.106 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.107 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.107 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.109 * [backup-simplify]: Simplify (- 1) into -1 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.111 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.112 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 0.112 * [backup-simplify]: Simplify -1/2 into -1/2 0.114 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.114 * [backup-simplify]: Simplify (- 1) into -1 0.115 * [backup-simplify]: Simplify (- 1) into -1 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.118 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.122 * [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 0.122 * [backup-simplify]: Simplify (- 1) into -1 0.123 * [backup-simplify]: Simplify (- 1) into -1 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (- 1) into -1 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [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 0.128 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.129 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 0.129 * [backup-simplify]: Simplify 5/24 into 5/24 0.129 * [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))) 0.130 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.130 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.130 * [taylor]: Taking taylor expansion of 2 in x 0.130 * [backup-simplify]: Simplify 2 into 2 0.130 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.130 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.130 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [backup-simplify]: Simplify (- 1) into -1 0.131 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.131 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.131 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.131 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.132 * [taylor]: Taking taylor expansion of 2 in x 0.132 * [backup-simplify]: Simplify 2 into 2 0.132 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.132 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.132 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [backup-simplify]: Simplify (- 1) into -1 0.133 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.133 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.133 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.133 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [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 0.137 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 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 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2 (+ (exp x) (exp (- x)))) 0.142 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.142 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.142 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.142 * [taylor]: Taking taylor expansion of 2 in x 0.142 * [backup-simplify]: Simplify 2 into 2 0.142 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.142 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.142 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.142 * [taylor]: Taking taylor expansion of -1 in x 0.142 * [backup-simplify]: Simplify -1 into -1 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ -1 1) into -1 0.143 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.143 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.143 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.143 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.143 * [taylor]: Taking taylor expansion of 2 in x 0.143 * [backup-simplify]: Simplify 2 into 2 0.143 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.143 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.144 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.144 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.144 * [taylor]: Taking taylor expansion of -1 in x 0.144 * [backup-simplify]: Simplify -1 into -1 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ -1 1) into -1 0.144 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.144 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.145 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.145 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [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 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [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 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [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 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [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 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 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 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x))) 0.149 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.149 * [backup-simplify]: Simplify (+ (exp x) (exp (- x))) into (+ (exp x) (exp (- x))) 0.149 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 0.149 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.149 * [taylor]: Taking taylor expansion of (exp x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (exp 0) into 1 0.149 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.149 * [taylor]: Taking taylor expansion of (- x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (- 1) into -1 0.150 * [backup-simplify]: Simplify (exp 0) into 1 0.150 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.150 * [taylor]: Taking taylor expansion of (exp x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (exp 0) into 1 0.150 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.150 * [taylor]: Taking taylor expansion of (- x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (- 1) into -1 0.150 * [backup-simplify]: Simplify (exp 0) into 1 0.151 * [backup-simplify]: Simplify (+ 1 1) into 2 0.151 * [backup-simplify]: Simplify 2 into 2 0.151 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.151 * [backup-simplify]: Simplify (- 1) into -1 0.152 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.152 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.153 * [backup-simplify]: Simplify (- 1) into -1 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.155 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.155 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.157 * [backup-simplify]: Simplify (- 1) into -1 0.157 * [backup-simplify]: Simplify (- 1) into -1 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.160 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.164 * [backup-simplify]: Simplify (- 1) into -1 0.164 * [backup-simplify]: Simplify (- 1) into -1 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (- 1) into -1 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [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 0.170 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.170 * [backup-simplify]: Simplify 1/12 into 1/12 0.170 * [backup-simplify]: Simplify (+ (* 1/12 (pow x 4)) (+ (* 1 (pow x 2)) 2)) into (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 0.171 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.171 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.171 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.171 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [backup-simplify]: Simplify (- 1) into -1 0.172 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.172 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.172 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.173 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.173 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [backup-simplify]: Simplify (- 1) into -1 0.173 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.174 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.174 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x))))) into (+ (exp x) (exp (- x))) 0.176 * [backup-simplify]: Simplify (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.176 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.176 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.176 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.177 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.177 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.177 * [taylor]: Taking taylor expansion of -1 in x 0.177 * [backup-simplify]: Simplify -1 into -1 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ -1 1) into -1 0.177 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.177 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.177 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.178 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.178 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.178 * [taylor]: Taking taylor expansion of -1 in x 0.178 * [backup-simplify]: Simplify -1 into -1 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ -1 1) into -1 0.179 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.179 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.179 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x))))) into (+ (exp (* -1 x)) (exp x)) 0.181 * * * [progress]: simplifying candidates 0.181 * * * * [progress]: [ 1 / 60 ] simplifiying candidate # 0.181 * * * * [progress]: [ 2 / 60 ] simplifiying candidate # 0.181 * * * * [progress]: [ 3 / 60 ] simplifiying candidate # 0.181 * * * * [progress]: [ 4 / 60 ] simplifiying candidate # 0.181 * * * * [progress]: [ 5 / 60 ] simplifiying candidate # 0.181 * * * * [progress]: [ 6 / 60 ] simplifiying candidate # 0.181 * * * * [progress]: [ 7 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 8 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 9 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 10 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 11 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 12 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 13 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 14 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 15 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 16 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 17 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 18 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 19 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 20 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 21 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 22 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 23 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 24 / 60 ] simplifiying candidate # 0.182 * * * * [progress]: [ 25 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 26 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 27 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 28 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 29 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 30 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 31 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 32 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 33 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 34 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 35 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 36 / 60 ] simplifiying candidate #real (real->posit16 (/ 2 (+ (exp x) (exp (- x)))))))> 0.183 * * * * [progress]: [ 37 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 38 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 39 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 40 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 41 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 42 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 43 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 44 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 45 / 60 ] simplifiying candidate # 0.183 * * * * [progress]: [ 46 / 60 ] simplifiying candidate # 0.184 * * * * [progress]: [ 47 / 60 ] simplifiying candidate # 0.184 * * * * [progress]: [ 48 / 60 ] simplifiying candidate # 0.184 * * * * [progress]: [ 49 / 60 ] simplifiying candidate # 0.184 * * * * [progress]: [ 50 / 60 ] simplifiying candidate # 0.184 * * * * [progress]: [ 51 / 60 ] simplifiying candidate # 0.184 * * * * [progress]: [ 52 / 60 ] simplifiying candidate # 0.184 * * * * [progress]: [ 53 / 60 ] simplifiying candidate #real (real->posit16 (+ (exp x) (exp (- x)))))))> 0.184 * * * * [progress]: [ 54 / 60 ] simplifiying candidate # 0.184 * * * * [progress]: [ 55 / 60 ] simplifiying candidate # 0.184 * * * * [progress]: [ 56 / 60 ] simplifiying candidate # 0.184 * * * * [progress]: [ 57 / 60 ] simplifiying candidate # 0.184 * * * * [progress]: [ 58 / 60 ] simplifiying candidate # 0.184 * * * * [progress]: [ 59 / 60 ] simplifiying candidate # 0.184 * * * * [progress]: [ 60 / 60 ] simplifiying candidate # 0.185 * [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))))) (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (exp x) (exp (- x)))) (* (exp (exp x)) (exp (exp (- x)))) (log (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))) (real->posit16 (+ (exp x) (exp (- x)))) (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))) (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp (* -1 x)) (exp x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) 0.186 * * [simplify]: iteration 0: 94 enodes 0.218 * * [simplify]: iteration 1: 214 enodes 0.294 * * [simplify]: iteration 2: 573 enodes 0.498 * * [simplify]: iteration 3: 1537 enodes 0.759 * * [simplify]: iteration complete: 2000 enodes 0.759 * * [simplify]: Extracting #0: cost 52 inf + 0 0.760 * * [simplify]: Extracting #1: cost 245 inf + 3 0.763 * * [simplify]: Extracting #2: cost 380 inf + 2967 0.771 * * [simplify]: Extracting #3: cost 213 inf + 31852 0.790 * * [simplify]: Extracting #4: cost 59 inf + 76007 0.820 * * [simplify]: Extracting #5: cost 2 inf + 97868 0.842 * * [simplify]: Extracting #6: cost 0 inf + 98472 0.869 * [simplify]: Simplified to: (expm1 (/ 2 (+ (exp x) (exp (- x))))) (log1p (/ 2 (+ (exp x) (exp (- x))))) (log (/ 2 (+ (exp x) (exp (- x))))) (log (/ 2 (+ (exp x) (exp (- x))))) (exp (/ 2 (+ (exp x) (exp (- x))))) (/ 8 (* (* (+ (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))))) (/ 8 (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))) -2 (+ (/ -1 (exp x)) (- (exp x))) (* (/ (cbrt 2) (cbrt (+ (exp x) (exp (- x))))) (/ (cbrt 2) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2) (cbrt 2)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2) (sqrt (+ (exp x) (exp (- x))))) (* (cbrt 2) (cbrt 2)) (/ (cbrt 2) (+ (exp x) (exp (- x)))) (* (cbrt 2) (cbrt 2)) (/ (cbrt 2) (+ (exp x) (exp (- x)))) (/ (/ (sqrt 2) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt 2) (/ (sqrt 2) (+ (exp x) (exp (- x)))) (sqrt 2) (/ (sqrt 2) (+ (exp x) (exp (- x)))) (/ (/ 1 (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x))))) (/ 2 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2 (sqrt (+ (exp x) (exp (- x))))) 1 (/ 2 (+ (exp x) (exp (- x)))) 1 (/ 2 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2) (/ (/ 2 (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x))))) (/ 2 (sqrt (+ (exp x) (exp (- x))))) 2 2 (/ (+ (exp x) (exp (- x))) (cbrt 2)) (/ (+ (exp x) (exp (- x))) (sqrt 2)) (/ (+ (exp x) (exp (- x))) 2) (/ 2 (fma (* (exp x) (exp x)) (exp x) (exp (- (* -2 x) x)))) (/ 2 (- (* (exp x) (exp x)) (* (/ 1 (exp x)) (/ 1 (exp x))))) (real->posit16 (/ 2 (+ (exp x) (exp (- x))))) (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (fma (* (exp x) (exp x)) (exp x) (exp (- (* -2 x) x))) (fma (exp x) (exp x) (fma (/ 1 (exp x)) (/ 1 (exp x)) -1)) (- (* (exp x) (exp x)) (* (/ 1 (exp x)) (/ 1 (exp x)))) (- (exp x) (/ 1 (exp x))) (+ (exp x) (exp (- x))) (real->posit16 (+ (exp x) (exp (- x)))) (fma (* x x) (fma 5/24 (* x x) -1/2) 1) (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))) (+ 2 (fma (* (* x x) (* x x)) 1/12 (* x x))) (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))) 0.873 * * * [progress]: adding candidates to table 1.051 * * [progress]: iteration 2 / 4 1.051 * * * [progress]: picking best candidate 1.056 * * * * [pick]: Picked # 1.056 * * * [progress]: localizing error 1.078 * * * [progress]: generating rewritten candidates 1.078 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.104 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.104 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.105 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.122 * * * [progress]: generating series expansions 1.122 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.122 * [backup-simplify]: Simplify (/ 2 (+ (exp x) (exp (- x)))) into (/ 2 (+ (exp x) (exp (- x)))) 1.122 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in (x) around 0 1.122 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x 1.122 * [taylor]: Taking taylor expansion of 2 in x 1.122 * [backup-simplify]: Simplify 2 into 2 1.122 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.122 * [taylor]: Taking taylor expansion of (exp x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [backup-simplify]: Simplify (exp 0) into 1 1.122 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.122 * [taylor]: Taking taylor expansion of (- x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (- 0) into 0 1.123 * [backup-simplify]: Simplify (- 1) into -1 1.123 * [backup-simplify]: Simplify (exp 0) into 1 1.124 * [backup-simplify]: Simplify (+ 1 1) into 2 1.124 * [backup-simplify]: Simplify (/ 2 2) into 1 1.124 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x 1.124 * [taylor]: Taking taylor expansion of 2 in x 1.124 * [backup-simplify]: Simplify 2 into 2 1.124 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.124 * [taylor]: Taking taylor expansion of (exp x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 1 into 1 1.124 * [backup-simplify]: Simplify (exp 0) into 1 1.124 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.124 * [taylor]: Taking taylor expansion of (- x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify (- 0) into 0 1.125 * [backup-simplify]: Simplify (- 1) into -1 1.125 * [backup-simplify]: Simplify (exp 0) into 1 1.125 * [backup-simplify]: Simplify (+ 1 1) into 2 1.126 * [backup-simplify]: Simplify (/ 2 2) into 1 1.126 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.127 * [backup-simplify]: Simplify (- 1) into -1 1.128 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.128 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.129 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 1.129 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.130 * [backup-simplify]: Simplify (- 1) into -1 1.131 * [backup-simplify]: Simplify (- 0) into 0 1.132 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.132 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.133 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 1.133 * [backup-simplify]: Simplify -1/2 into -1/2 1.135 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.136 * [backup-simplify]: Simplify (- 1) into -1 1.136 * [backup-simplify]: Simplify (- 1) into -1 1.136 * [backup-simplify]: Simplify (- 0) into 0 1.137 * [backup-simplify]: Simplify (- 0) into 0 1.139 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.139 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 1.140 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.143 * [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 1.144 * [backup-simplify]: Simplify (- 1) into -1 1.144 * [backup-simplify]: Simplify (- 1) into -1 1.144 * [backup-simplify]: Simplify (- 0) into 0 1.145 * [backup-simplify]: Simplify (- 1) into -1 1.145 * [backup-simplify]: Simplify (- 0) into 0 1.145 * [backup-simplify]: Simplify (- 0) into 0 1.146 * [backup-simplify]: Simplify (- 0) into 0 1.149 * [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 1.149 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.151 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 1.151 * [backup-simplify]: Simplify 5/24 into 5/24 1.151 * [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))) 1.151 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.151 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 1.151 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.151 * [taylor]: Taking taylor expansion of 2 in x 1.151 * [backup-simplify]: Simplify 2 into 2 1.151 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.151 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (/ 1 1) into 1 1.152 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.152 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.152 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (/ 1 1) into 1 1.152 * [backup-simplify]: Simplify (- 1) into -1 1.153 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.153 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.153 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.153 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.153 * [taylor]: Taking taylor expansion of 2 in x 1.153 * [backup-simplify]: Simplify 2 into 2 1.153 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.153 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 1 into 1 1.153 * [backup-simplify]: Simplify (/ 1 1) into 1 1.153 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.153 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.153 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 1 into 1 1.154 * [backup-simplify]: Simplify (/ 1 1) into 1 1.154 * [backup-simplify]: Simplify (- 1) into -1 1.154 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.154 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.154 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.155 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.155 * [backup-simplify]: Simplify (+ 0 0) into 0 1.155 * [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 1.155 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify (+ 0 0) into 0 1.156 * [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 1.156 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify (+ 0 0) into 0 1.157 * [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 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify (+ 0 0) into 0 1.158 * [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 1.158 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify (+ 0 0) into 0 1.159 * [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 1.159 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify (+ 0 0) into 0 1.160 * [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 1.161 * [backup-simplify]: Simplify 0 into 0 1.161 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2 (+ (exp x) (exp (- x)))) 1.161 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.161 * [approximate]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 1.161 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.161 * [taylor]: Taking taylor expansion of 2 in x 1.161 * [backup-simplify]: Simplify 2 into 2 1.161 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.161 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.161 * [backup-simplify]: Simplify 0 into 0 1.161 * [backup-simplify]: Simplify 1 into 1 1.161 * [backup-simplify]: Simplify (/ 1 1) into 1 1.161 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.161 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.161 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.162 * [taylor]: Taking taylor expansion of -1 in x 1.162 * [backup-simplify]: Simplify -1 into -1 1.162 * [taylor]: Taking taylor expansion of x in x 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.162 * [backup-simplify]: Simplify (/ -1 1) into -1 1.162 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.162 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.162 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.162 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.162 * [taylor]: Taking taylor expansion of 2 in x 1.162 * [backup-simplify]: Simplify 2 into 2 1.162 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.162 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.162 * [taylor]: Taking taylor expansion of x in x 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.163 * [backup-simplify]: Simplify (/ 1 1) into 1 1.163 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.163 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.163 * [taylor]: Taking taylor expansion of -1 in x 1.163 * [backup-simplify]: Simplify -1 into -1 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify 1 into 1 1.163 * [backup-simplify]: Simplify (/ -1 1) into -1 1.163 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.163 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.164 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.164 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.164 * [backup-simplify]: Simplify (+ 0 0) into 0 1.164 * [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 1.164 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify (+ 0 0) into 0 1.165 * [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 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [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 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify (+ 0 0) into 0 1.167 * [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 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [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 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify (+ 0 0) into 0 1.169 * [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 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x))) 1.169 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.169 * [backup-simplify]: Simplify (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))) into (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))) 1.169 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))) in (x) around 0 1.169 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))) in x 1.170 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2 (+ (exp x) (exp (- x)))))) 1) 1.170 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2 (+ (exp x) (exp (- x)))))) in x 1.170 * [taylor]: Taking taylor expansion of (log1p (/ 2 (+ (exp x) (exp (- x))))) in x 1.170 * [taylor]: Rewrote expression to (log (+ 1 (/ 2 (+ (exp x) (exp (- x)))))) 1.170 * [taylor]: Taking taylor expansion of (+ 1 (/ 2 (+ (exp x) (exp (- x))))) in x 1.170 * [taylor]: Taking taylor expansion of 1 in x 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x 1.170 * [taylor]: Taking taylor expansion of 2 in x 1.170 * [backup-simplify]: Simplify 2 into 2 1.170 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.170 * [taylor]: Taking taylor expansion of (exp x) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [backup-simplify]: Simplify (exp 0) into 1 1.170 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.170 * [taylor]: Taking taylor expansion of (- x) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [backup-simplify]: Simplify (- 0) into 0 1.171 * [backup-simplify]: Simplify (- 1) into -1 1.171 * [backup-simplify]: Simplify (exp 0) into 1 1.171 * [backup-simplify]: Simplify (+ 1 1) into 2 1.171 * [backup-simplify]: Simplify (/ 2 2) into 1 1.172 * [backup-simplify]: Simplify (+ 1 1) into 2 1.172 * [backup-simplify]: Simplify (log 2) into (log 2) 1.173 * [backup-simplify]: Simplify (exp (log 2)) into 2 1.173 * [taylor]: Taking taylor expansion of 1 in x 1.173 * [backup-simplify]: Simplify 1 into 1 1.173 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))) in x 1.173 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2 (+ (exp x) (exp (- x)))))) 1) 1.173 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2 (+ (exp x) (exp (- x)))))) in x 1.173 * [taylor]: Taking taylor expansion of (log1p (/ 2 (+ (exp x) (exp (- x))))) in x 1.173 * [taylor]: Rewrote expression to (log (+ 1 (/ 2 (+ (exp x) (exp (- x)))))) 1.173 * [taylor]: Taking taylor expansion of (+ 1 (/ 2 (+ (exp x) (exp (- x))))) in x 1.173 * [taylor]: Taking taylor expansion of 1 in x 1.173 * [backup-simplify]: Simplify 1 into 1 1.173 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x 1.173 * [taylor]: Taking taylor expansion of 2 in x 1.173 * [backup-simplify]: Simplify 2 into 2 1.173 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.173 * [taylor]: Taking taylor expansion of (exp x) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify 1 into 1 1.173 * [backup-simplify]: Simplify (exp 0) into 1 1.173 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.173 * [taylor]: Taking taylor expansion of (- x) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify 1 into 1 1.174 * [backup-simplify]: Simplify (- 0) into 0 1.174 * [backup-simplify]: Simplify (- 1) into -1 1.174 * [backup-simplify]: Simplify (exp 0) into 1 1.174 * [backup-simplify]: Simplify (+ 1 1) into 2 1.175 * [backup-simplify]: Simplify (/ 2 2) into 1 1.175 * [backup-simplify]: Simplify (+ 1 1) into 2 1.175 * [backup-simplify]: Simplify (log 2) into (log 2) 1.176 * [backup-simplify]: Simplify (exp (log 2)) into 2 1.176 * [taylor]: Taking taylor expansion of 1 in x 1.176 * [backup-simplify]: Simplify 1 into 1 1.176 * [backup-simplify]: Simplify (- 1) into -1 1.177 * [backup-simplify]: Simplify (+ 2 -1) into 1 1.177 * [backup-simplify]: Simplify 1 into 1 1.178 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.178 * [backup-simplify]: Simplify (- 1) into -1 1.179 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.179 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.180 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 1.180 * [backup-simplify]: Simplify (+ 0 0) into 0 1.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1.182 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow 0 1) 1)))) into 0 1.183 * [backup-simplify]: Simplify (- 0) into 0 1.183 * [backup-simplify]: Simplify (+ 0 0) into 0 1.183 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.185 * [backup-simplify]: Simplify (- 1) into -1 1.185 * [backup-simplify]: Simplify (- 0) into 0 1.187 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.187 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.188 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 1.188 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 2 1)))) 2) into -1/4 1.193 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/4 1) 1)))) into -1/2 1.194 * [backup-simplify]: Simplify (- 0) into 0 1.194 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.194 * [backup-simplify]: Simplify -1/2 into -1/2 1.196 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.196 * [backup-simplify]: Simplify (- 1) into -1 1.197 * [backup-simplify]: Simplify (- 1) into -1 1.197 * [backup-simplify]: Simplify (- 0) into 0 1.197 * [backup-simplify]: Simplify (- 0) into 0 1.199 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.202 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 1.203 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 1.203 * [backup-simplify]: Simplify (+ 0 0) into 0 1.207 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/2) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1.209 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.210 * [backup-simplify]: Simplify (- 0) into 0 1.210 * [backup-simplify]: Simplify (+ 0 0) into 0 1.210 * [backup-simplify]: Simplify 0 into 0 1.213 * [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 1.213 * [backup-simplify]: Simplify (- 1) into -1 1.214 * [backup-simplify]: Simplify (- 1) into -1 1.214 * [backup-simplify]: Simplify (- 0) into 0 1.214 * [backup-simplify]: Simplify (- 1) into -1 1.215 * [backup-simplify]: Simplify (- 0) into 0 1.215 * [backup-simplify]: Simplify (- 0) into 0 1.215 * [backup-simplify]: Simplify (- 0) into 0 1.218 * [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 1.219 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.220 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 1.220 * [backup-simplify]: Simplify (+ 0 5/24) into 5/24 1.229 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/2) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 -1/2) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 5/24) 1)) (pow 2 1)))) 24) into 7/96 1.236 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/4 2) 2)) (* (/ (pow 7/96 1) 1)))) into 5/24 1.236 * [backup-simplify]: Simplify (- 0) into 0 1.237 * [backup-simplify]: Simplify (+ 5/24 0) into 5/24 1.237 * [backup-simplify]: Simplify 5/24 into 5/24 1.237 * [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))) 1.237 * [backup-simplify]: Simplify (expm1 (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (expm1 (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.237 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 1.237 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.237 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1) 1.237 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.237 * [taylor]: Taking taylor expansion of (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.237 * [taylor]: Rewrote expression to (log (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.237 * [taylor]: Taking taylor expansion of (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.237 * [taylor]: Taking taylor expansion of 1 in x 1.237 * [backup-simplify]: Simplify 1 into 1 1.237 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.237 * [taylor]: Taking taylor expansion of 2 in x 1.237 * [backup-simplify]: Simplify 2 into 2 1.237 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.237 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (/ 1 1) into 1 1.238 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.238 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.238 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (/ 1 1) into 1 1.238 * [backup-simplify]: Simplify (- 1) into -1 1.238 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.238 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.238 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.238 * [backup-simplify]: Simplify (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1.239 * [backup-simplify]: Simplify (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1)) 1.239 * [backup-simplify]: Simplify (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1))) into (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1.239 * [taylor]: Taking taylor expansion of 1 in x 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.239 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1) 1.239 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.239 * [taylor]: Taking taylor expansion of (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.239 * [taylor]: Rewrote expression to (log (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.239 * [taylor]: Taking taylor expansion of (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.239 * [taylor]: Taking taylor expansion of 1 in x 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.239 * [taylor]: Taking taylor expansion of 2 in x 1.239 * [backup-simplify]: Simplify 2 into 2 1.239 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.239 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (/ 1 1) into 1 1.239 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.239 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.239 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (/ 1 1) into 1 1.240 * [backup-simplify]: Simplify (- 1) into -1 1.240 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.240 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.240 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.240 * [backup-simplify]: Simplify (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1.240 * [backup-simplify]: Simplify (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1)) 1.240 * [backup-simplify]: Simplify (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1))) into (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1.241 * [taylor]: Taking taylor expansion of 1 in x 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (- 1) into -1 1.241 * [backup-simplify]: Simplify (+ (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) -1) into (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1.241 * [backup-simplify]: Simplify (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.241 * [backup-simplify]: Simplify (+ 0 0) into 0 1.242 * [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 1.242 * [backup-simplify]: Simplify (+ 0 0) into 0 1.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1)))) 1) into 0 1.243 * [backup-simplify]: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 1.243 * [backup-simplify]: Simplify (- 0) into 0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify (+ 0 0) into 0 1.244 * [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 1.244 * [backup-simplify]: Simplify (+ 0 0) into 0 1.245 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1)))) 2) into 0 1.246 * [backup-simplify]: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.246 * [backup-simplify]: Simplify (- 0) into 0 1.247 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [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 1.247 * [backup-simplify]: Simplify (+ 0 0) into 0 1.249 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1)))) 6) into 0 1.250 * [backup-simplify]: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.250 * [backup-simplify]: Simplify (- 0) into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.251 * [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 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.255 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1)))) 24) into 0 1.256 * [backup-simplify]: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.257 * [backup-simplify]: Simplify (- 0) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.258 * [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 1.258 * [backup-simplify]: Simplify (+ 0 0) into 0 1.262 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1)))) 120) into 0 1.265 * [backup-simplify]: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.266 * [backup-simplify]: Simplify (- 0) into 0 1.266 * [backup-simplify]: Simplify (+ 0 0) into 0 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify (+ 0 0) into 0 1.267 * [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 1.268 * [backup-simplify]: Simplify (+ 0 0) into 0 1.277 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1)))) 720) into 0 1.281 * [backup-simplify]: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.281 * [backup-simplify]: Simplify (- 0) into 0 1.281 * [backup-simplify]: Simplify (+ 0 0) into 0 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2 (+ (exp x) (exp (- x)))) 1.282 * [backup-simplify]: Simplify (expm1 (log1p (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) into (expm1 (log1p (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.282 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 1.282 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.282 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1) 1.282 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.282 * [taylor]: Taking taylor expansion of (log1p (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.282 * [taylor]: Rewrote expression to (log (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.282 * [taylor]: Taking taylor expansion of (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.282 * [taylor]: Taking taylor expansion of 1 in x 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.282 * [taylor]: Taking taylor expansion of 2 in x 1.282 * [backup-simplify]: Simplify 2 into 2 1.282 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.282 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.282 * [taylor]: Taking taylor expansion of x in x 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [backup-simplify]: Simplify (/ 1 1) into 1 1.282 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.282 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.282 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.282 * [taylor]: Taking taylor expansion of -1 in x 1.282 * [backup-simplify]: Simplify -1 into -1 1.282 * [taylor]: Taking taylor expansion of x in x 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [backup-simplify]: Simplify (/ -1 1) into -1 1.283 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.283 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.283 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.283 * [backup-simplify]: Simplify (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1.283 * [backup-simplify]: Simplify (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1)) 1.283 * [backup-simplify]: Simplify (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1))) into (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1.283 * [taylor]: Taking taylor expansion of 1 in x 1.283 * [backup-simplify]: Simplify 1 into 1 1.283 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.283 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1) 1.283 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.283 * [taylor]: Taking taylor expansion of (log1p (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.283 * [taylor]: Rewrote expression to (log (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.283 * [taylor]: Taking taylor expansion of (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.283 * [taylor]: Taking taylor expansion of 1 in x 1.283 * [backup-simplify]: Simplify 1 into 1 1.283 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.283 * [taylor]: Taking taylor expansion of 2 in x 1.283 * [backup-simplify]: Simplify 2 into 2 1.283 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.283 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 1 into 1 1.284 * [backup-simplify]: Simplify (/ 1 1) into 1 1.284 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.284 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.284 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.284 * [taylor]: Taking taylor expansion of -1 in x 1.284 * [backup-simplify]: Simplify -1 into -1 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 1 into 1 1.284 * [backup-simplify]: Simplify (/ -1 1) into -1 1.284 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.284 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.284 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.285 * [backup-simplify]: Simplify (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1.285 * [backup-simplify]: Simplify (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1)) 1.285 * [backup-simplify]: Simplify (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1))) into (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1.285 * [taylor]: Taking taylor expansion of 1 in x 1.285 * [backup-simplify]: Simplify 1 into 1 1.285 * [backup-simplify]: Simplify (- 1) into -1 1.286 * [backup-simplify]: Simplify (+ (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) -1) into (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1.286 * [backup-simplify]: Simplify (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.286 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [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 1.287 * [backup-simplify]: Simplify (+ 0 0) into 0 1.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1)))) 1) into 0 1.288 * [backup-simplify]: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 1.288 * [backup-simplify]: Simplify (- 0) into 0 1.288 * [backup-simplify]: Simplify (+ 0 0) into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify (+ 0 0) into 0 1.289 * [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 1.289 * [backup-simplify]: Simplify (+ 0 0) into 0 1.290 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1)))) 2) into 0 1.291 * [backup-simplify]: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.291 * [backup-simplify]: Simplify (- 0) into 0 1.292 * [backup-simplify]: Simplify (+ 0 0) into 0 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify (+ 0 0) into 0 1.292 * [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 1.293 * [backup-simplify]: Simplify (+ 0 0) into 0 1.297 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1)))) 6) into 0 1.298 * [backup-simplify]: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.298 * [backup-simplify]: Simplify (- 0) into 0 1.299 * [backup-simplify]: Simplify (+ 0 0) into 0 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify (+ 0 0) into 0 1.300 * [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 1.300 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1)))) 24) into 0 1.305 * [backup-simplify]: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.305 * [backup-simplify]: Simplify (- 0) into 0 1.305 * [backup-simplify]: Simplify (+ 0 0) into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify (+ 0 0) into 0 1.306 * [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 1.306 * [backup-simplify]: Simplify (+ 0 0) into 0 1.313 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1)))) 120) into 0 1.316 * [backup-simplify]: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.316 * [backup-simplify]: Simplify (- 0) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [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 1.318 * [backup-simplify]: Simplify (+ 0 0) into 0 1.329 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1)))) 720) into 0 1.333 * [backup-simplify]: Simplify (* (exp (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.333 * [backup-simplify]: Simplify (- 0) into 0 1.334 * [backup-simplify]: Simplify (+ 0 0) into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x))) 1.334 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.334 * [backup-simplify]: Simplify (log1p (/ 2 (+ (exp x) (exp (- x))))) into (log1p (/ 2 (+ (exp x) (exp (- x))))) 1.334 * [approximate]: Taking taylor expansion of (log1p (/ 2 (+ (exp x) (exp (- x))))) in (x) around 0 1.334 * [taylor]: Taking taylor expansion of (log1p (/ 2 (+ (exp x) (exp (- x))))) in x 1.334 * [taylor]: Rewrote expression to (log (+ 1 (/ 2 (+ (exp x) (exp (- x)))))) 1.334 * [taylor]: Taking taylor expansion of (+ 1 (/ 2 (+ (exp x) (exp (- x))))) in x 1.334 * [taylor]: Taking taylor expansion of 1 in x 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x 1.334 * [taylor]: Taking taylor expansion of 2 in x 1.334 * [backup-simplify]: Simplify 2 into 2 1.334 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.334 * [taylor]: Taking taylor expansion of (exp x) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify (exp 0) into 1 1.334 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.334 * [taylor]: Taking taylor expansion of (- x) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify (- 0) into 0 1.335 * [backup-simplify]: Simplify (- 1) into -1 1.335 * [backup-simplify]: Simplify (exp 0) into 1 1.335 * [backup-simplify]: Simplify (+ 1 1) into 2 1.335 * [backup-simplify]: Simplify (/ 2 2) into 1 1.335 * [backup-simplify]: Simplify (+ 1 1) into 2 1.336 * [backup-simplify]: Simplify (log 2) into (log 2) 1.336 * [taylor]: Taking taylor expansion of (log1p (/ 2 (+ (exp x) (exp (- x))))) in x 1.336 * [taylor]: Rewrote expression to (log (+ 1 (/ 2 (+ (exp x) (exp (- x)))))) 1.336 * [taylor]: Taking taylor expansion of (+ 1 (/ 2 (+ (exp x) (exp (- x))))) in x 1.336 * [taylor]: Taking taylor expansion of 1 in x 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x 1.336 * [taylor]: Taking taylor expansion of 2 in x 1.336 * [backup-simplify]: Simplify 2 into 2 1.336 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.336 * [taylor]: Taking taylor expansion of (exp x) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (exp 0) into 1 1.336 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.336 * [taylor]: Taking taylor expansion of (- x) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (- 0) into 0 1.336 * [backup-simplify]: Simplify (- 1) into -1 1.336 * [backup-simplify]: Simplify (exp 0) into 1 1.337 * [backup-simplify]: Simplify (+ 1 1) into 2 1.337 * [backup-simplify]: Simplify (/ 2 2) into 1 1.337 * [backup-simplify]: Simplify (+ 1 1) into 2 1.337 * [backup-simplify]: Simplify (log 2) into (log 2) 1.338 * [backup-simplify]: Simplify (log 2) into (log 2) 1.338 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.338 * [backup-simplify]: Simplify (- 1) into -1 1.339 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.339 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.340 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.342 * [backup-simplify]: Simplify (- 1) into -1 1.342 * [backup-simplify]: Simplify (- 0) into 0 1.343 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.343 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.344 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 1.344 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.346 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 2 1)))) 2) into -1/4 1.346 * [backup-simplify]: Simplify -1/4 into -1/4 1.347 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.347 * [backup-simplify]: Simplify (- 1) into -1 1.348 * [backup-simplify]: Simplify (- 1) into -1 1.348 * [backup-simplify]: Simplify (- 0) into 0 1.348 * [backup-simplify]: Simplify (- 0) into 0 1.349 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.350 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 1.350 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 1.351 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/2) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1.353 * [backup-simplify]: Simplify 0 into 0 1.355 * [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 1.356 * [backup-simplify]: Simplify (- 1) into -1 1.356 * [backup-simplify]: Simplify (- 1) into -1 1.356 * [backup-simplify]: Simplify (- 0) into 0 1.356 * [backup-simplify]: Simplify (- 1) into -1 1.357 * [backup-simplify]: Simplify (- 0) into 0 1.357 * [backup-simplify]: Simplify (- 0) into 0 1.357 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [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 1.359 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.360 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 1.361 * [backup-simplify]: Simplify (+ 0 5/24) into 5/24 1.367 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/2) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 -1/2) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 5/24) 1)) (pow 2 1)))) 24) into 7/96 1.367 * [backup-simplify]: Simplify 7/96 into 7/96 1.367 * [backup-simplify]: Simplify (+ (* 7/96 (pow x 4)) (+ (* -1/4 (pow x 2)) (log 2))) into (- (+ (log 2) (* 7/96 (pow x 4))) (* 1/4 (pow x 2))) 1.367 * [backup-simplify]: Simplify (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1.367 * [approximate]: Taking taylor expansion of (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x) around 0 1.367 * [taylor]: Taking taylor expansion of (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.367 * [taylor]: Rewrote expression to (log (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.367 * [taylor]: Taking taylor expansion of (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.367 * [taylor]: Taking taylor expansion of 1 in x 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.367 * [taylor]: Taking taylor expansion of 2 in x 1.367 * [backup-simplify]: Simplify 2 into 2 1.367 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.367 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (/ 1 1) into 1 1.368 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.368 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.368 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (/ 1 1) into 1 1.368 * [backup-simplify]: Simplify (- 1) into -1 1.368 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.368 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.369 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.369 * [backup-simplify]: Simplify (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1.369 * [backup-simplify]: Simplify (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1)) 1.369 * [taylor]: Taking taylor expansion of (log1p (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.369 * [taylor]: Rewrote expression to (log (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.369 * [taylor]: Taking taylor expansion of (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.369 * [taylor]: Taking taylor expansion of 1 in x 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.369 * [taylor]: Taking taylor expansion of 2 in x 1.369 * [backup-simplify]: Simplify 2 into 2 1.369 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.369 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (/ 1 1) into 1 1.369 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.369 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.369 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.370 * [backup-simplify]: Simplify (/ 1 1) into 1 1.370 * [backup-simplify]: Simplify (- 1) into -1 1.370 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.370 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.370 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.370 * [backup-simplify]: Simplify (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1.370 * [backup-simplify]: Simplify (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1)) 1.371 * [backup-simplify]: Simplify (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1)) 1.371 * [backup-simplify]: Simplify (+ 0 0) into 0 1.371 * [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 1.371 * [backup-simplify]: Simplify (+ 0 0) into 0 1.372 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1)))) 1) into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify (+ 0 0) into 0 1.373 * [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 1.373 * [backup-simplify]: Simplify (+ 0 0) into 0 1.374 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1)))) 2) into 0 1.374 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify (+ 0 0) into 0 1.375 * [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 1.376 * [backup-simplify]: Simplify (+ 0 0) into 0 1.378 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1)))) 6) into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify (+ 0 0) into 0 1.379 * [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 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.382 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1)))) 24) into 0 1.382 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [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 1.385 * [backup-simplify]: Simplify (+ 0 0) into 0 1.391 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1)))) 120) into 0 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [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 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.400 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 1)))) 720) into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (log (+ (* 2 (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x))))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp x) (exp (- x))))) 1)) 1.400 * [backup-simplify]: Simplify (log1p (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (log1p (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1.401 * [approximate]: Taking taylor expansion of (log1p (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x) around 0 1.401 * [taylor]: Taking taylor expansion of (log1p (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.401 * [taylor]: Rewrote expression to (log (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.401 * [taylor]: Taking taylor expansion of (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.401 * [taylor]: Taking taylor expansion of 1 in x 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.401 * [taylor]: Taking taylor expansion of 2 in x 1.401 * [backup-simplify]: Simplify 2 into 2 1.401 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.401 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (/ 1 1) into 1 1.401 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.401 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.401 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.401 * [taylor]: Taking taylor expansion of -1 in x 1.401 * [backup-simplify]: Simplify -1 into -1 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (/ -1 1) into -1 1.402 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.402 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.402 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.402 * [backup-simplify]: Simplify (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1.402 * [backup-simplify]: Simplify (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1)) 1.402 * [taylor]: Taking taylor expansion of (log1p (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.402 * [taylor]: Rewrote expression to (log (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.402 * [taylor]: Taking taylor expansion of (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.402 * [taylor]: Taking taylor expansion of 1 in x 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [taylor]: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.402 * [taylor]: Taking taylor expansion of 2 in x 1.402 * [backup-simplify]: Simplify 2 into 2 1.402 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.402 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (/ 1 1) into 1 1.402 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.402 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.402 * [taylor]: Taking taylor expansion of -1 in x 1.402 * [backup-simplify]: Simplify -1 into -1 1.402 * [taylor]: Taking taylor expansion of x in x 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (/ -1 1) into -1 1.403 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.403 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.403 * [backup-simplify]: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.403 * [backup-simplify]: Simplify (+ 1 (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1.403 * [backup-simplify]: Simplify (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1)) 1.403 * [backup-simplify]: Simplify (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1)) 1.404 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [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 1.404 * [backup-simplify]: Simplify (+ 0 0) into 0 1.405 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1)))) 1) into 0 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify (+ 0 0) into 0 1.405 * [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 1.405 * [backup-simplify]: Simplify (+ 0 0) into 0 1.406 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1)))) 2) into 0 1.406 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [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 1.407 * [backup-simplify]: Simplify (+ 0 0) into 0 1.409 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1)))) 6) into 0 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [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 1.410 * [backup-simplify]: Simplify (+ 0 0) into 0 1.413 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1)))) 24) into 0 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify (+ 0 0) into 0 1.414 * [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 1.414 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1)))) 120) into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [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 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.427 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (* 2 (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 1)))) 720) into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (log (+ (* 2 (/ 1 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x))))))) 1)) into (log (+ (* 2 (/ 1 (+ (exp (* -1 x)) (exp x)))) 1)) 1.427 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.427 * [backup-simplify]: Simplify (+ (exp x) (exp (- x))) into (+ (exp x) (exp (- x))) 1.427 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 1.427 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.427 * [taylor]: Taking taylor expansion of (exp x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (exp 0) into 1 1.427 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.427 * [taylor]: Taking taylor expansion of (- x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 1 into 1 1.428 * [backup-simplify]: Simplify (- 0) into 0 1.428 * [backup-simplify]: Simplify (- 1) into -1 1.428 * [backup-simplify]: Simplify (exp 0) into 1 1.428 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.428 * [taylor]: Taking taylor expansion of (exp x) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [backup-simplify]: Simplify (exp 0) into 1 1.428 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.428 * [taylor]: Taking taylor expansion of (- x) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (- 0) into 0 1.429 * [backup-simplify]: Simplify (- 1) into -1 1.429 * [backup-simplify]: Simplify (exp 0) into 1 1.429 * [backup-simplify]: Simplify (+ 1 1) into 2 1.429 * [backup-simplify]: Simplify 2 into 2 1.430 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.430 * [backup-simplify]: Simplify (- 1) into -1 1.431 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.432 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.433 * [backup-simplify]: Simplify (- 1) into -1 1.434 * [backup-simplify]: Simplify (- 0) into 0 1.435 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.435 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.435 * [backup-simplify]: Simplify 1 into 1 1.437 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.437 * [backup-simplify]: Simplify (- 1) into -1 1.438 * [backup-simplify]: Simplify (- 1) into -1 1.438 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify (- 0) into 0 1.440 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.440 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.443 * [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 1.444 * [backup-simplify]: Simplify (- 1) into -1 1.444 * [backup-simplify]: Simplify (- 1) into -1 1.444 * [backup-simplify]: Simplify (- 0) into 0 1.445 * [backup-simplify]: Simplify (- 1) into -1 1.445 * [backup-simplify]: Simplify (- 0) into 0 1.445 * [backup-simplify]: Simplify (- 0) into 0 1.446 * [backup-simplify]: Simplify (- 0) into 0 1.449 * [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 1.449 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.449 * [backup-simplify]: Simplify 1/12 into 1/12 1.449 * [backup-simplify]: Simplify (+ (* 1/12 (pow x 4)) (+ (* 1 (pow x 2)) 2)) into (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 1.449 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.449 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 1.449 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.449 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (/ 1 1) into 1 1.450 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.450 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.450 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (/ 1 1) into 1 1.451 * [backup-simplify]: Simplify (- 1) into -1 1.451 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.451 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.451 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 1 into 1 1.451 * [backup-simplify]: Simplify (/ 1 1) into 1 1.451 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.451 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.451 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 1 into 1 1.452 * [backup-simplify]: Simplify (/ 1 1) into 1 1.452 * [backup-simplify]: Simplify (- 1) into -1 1.452 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.452 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.452 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x))))) into (+ (exp x) (exp (- x))) 1.455 * [backup-simplify]: Simplify (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.455 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 1.455 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.455 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (/ 1 1) into 1 1.455 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.455 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.455 * [taylor]: Taking taylor expansion of -1 in x 1.455 * [backup-simplify]: Simplify -1 into -1 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.456 * [backup-simplify]: Simplify (/ -1 1) into -1 1.456 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.456 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.456 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 1 into 1 1.456 * [backup-simplify]: Simplify (/ 1 1) into 1 1.456 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.456 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.456 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.456 * [taylor]: Taking taylor expansion of -1 in x 1.456 * [backup-simplify]: Simplify -1 into -1 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 1 into 1 1.457 * [backup-simplify]: Simplify (/ -1 1) into -1 1.457 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.457 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.457 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.458 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x))))) into (+ (exp (* -1 x)) (exp x)) 1.459 * * * [progress]: simplifying candidates 1.459 * * * * [progress]: [ 1 / 90 ] simplifiying candidate # 1.459 * * * * [progress]: [ 2 / 90 ] simplifiying candidate # 1.459 * * * * [progress]: [ 3 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 4 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 5 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 6 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 7 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 8 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 9 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 10 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 11 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 12 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 13 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 14 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 15 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 16 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 17 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 18 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 19 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 20 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 21 / 90 ] simplifiying candidate # 1.460 * * * * [progress]: [ 22 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 23 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 24 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 25 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 26 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 27 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 28 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 29 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 30 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 31 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 32 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 33 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 34 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 35 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 36 / 90 ] simplifiying candidate #real (real->posit16 (/ 2 (+ (exp x) (exp (- x)))))))))> 1.461 * * * * [progress]: [ 37 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 38 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 39 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 40 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 41 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 42 / 90 ] simplifiying candidate # 1.461 * * * * [progress]: [ 43 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 44 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 45 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 46 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 47 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 48 / 90 ] simplifiying candidate #real (real->posit16 (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))))))> 1.462 * * * * [progress]: [ 49 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 50 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 51 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 52 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 53 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 54 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 55 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 56 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 57 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 58 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 59 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 60 / 90 ] simplifiying candidate #real (real->posit16 (log1p (/ 2 (+ (exp x) (exp (- x)))))))))> 1.462 * * * * [progress]: [ 61 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 62 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 63 / 90 ] simplifiying candidate # 1.462 * * * * [progress]: [ 64 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 65 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 66 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 67 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 68 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 69 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 70 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 71 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 72 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 73 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 74 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 75 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 76 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 77 / 90 ] simplifiying candidate #real (real->posit16 (+ (exp x) (exp (- x)))))))))> 1.463 * * * * [progress]: [ 78 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 79 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 80 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 81 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 82 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 83 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 84 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 85 / 90 ] simplifiying candidate # 1.463 * * * * [progress]: [ 86 / 90 ] simplifiying candidate # 1.464 * * * * [progress]: [ 87 / 90 ] simplifiying candidate # 1.464 * * * * [progress]: [ 88 / 90 ] simplifiying candidate # 1.464 * * * * [progress]: [ 89 / 90 ] simplifiying candidate # 1.464 * * * * [progress]: [ 90 / 90 ] simplifiying candidate # 1.465 * [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))))) (exp (log1p (/ 2 (+ (exp x) (exp (- x)))))) (expm1 (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) (log1p (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) (log (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) (exp (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) (* (cbrt (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) (cbrt (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))))) (cbrt (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) (* (* (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))) (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) (real->posit16 (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) (+ 1 (/ 2 (+ (exp x) (exp (- x))))) (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))) (log1p (log1p (/ 2 (+ (exp x) (exp (- x)))))) (log (log1p (/ 2 (+ (exp x) (exp (- x)))))) (exp (log1p (/ 2 (+ (exp x) (exp (- x)))))) (* (cbrt (log1p (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (log1p (/ 2 (+ (exp x) (exp (- x))))))) (cbrt (log1p (/ 2 (+ (exp x) (exp (- x)))))) (* (* (log1p (/ 2 (+ (exp x) (exp (- x))))) (log1p (/ 2 (+ (exp x) (exp (- x)))))) (log1p (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (log1p (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (log1p (/ 2 (+ (exp x) (exp (- x)))))) (real->posit16 (log1p (/ 2 (+ (exp x) (exp (- x)))))) (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (exp x) (exp (- x)))) (* (exp (exp x)) (exp (exp (- x)))) (log (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))) (real->posit16 (+ (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))) (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))) (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp (* -1 x)) (exp x))) (- (+ (log 2) (* 7/96 (pow x 4))) (* 1/4 (pow x 2))) (log (+ (* 2 (/ 1 (+ (exp x) (exp (- x))))) 1)) (log (+ (* 2 (/ 1 (+ (exp (* -1 x)) (exp x)))) 1)) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) 1.466 * * [simplify]: iteration 0: 128 enodes 1.501 * * [simplify]: iteration 1: 273 enodes 1.593 * * [simplify]: iteration 2: 693 enodes 1.785 * * [simplify]: iteration complete: 2001 enodes 1.786 * * [simplify]: Extracting #0: cost 62 inf + 0 1.786 * * [simplify]: Extracting #1: cost 306 inf + 44 1.792 * * [simplify]: Extracting #2: cost 608 inf + 10676 1.805 * * [simplify]: Extracting #3: cost 255 inf + 86290 1.833 * * [simplify]: Extracting #4: cost 42 inf + 137641 1.864 * * [simplify]: Extracting #5: cost 9 inf + 146526 1.896 * * [simplify]: Extracting #6: cost 0 inf + 149589 1.919 * [simplify]: Simplified to: (expm1 (/ 2 (+ (exp x) (/ 1 (exp x))))) (log1p (/ 2 (+ (exp x) (/ 1 (exp x))))) (log (/ 2 (+ (exp x) (/ 1 (exp x))))) (log (/ 2 (+ (exp x) (/ 1 (exp x))))) (exp (/ 2 (+ (exp x) (/ 1 (exp x))))) (* (* (/ 2 (+ (exp x) (/ 1 (exp x)))) (/ 2 (+ (exp x) (/ 1 (exp x))))) (/ 2 (+ (exp x) (/ 1 (exp x))))) (* (cbrt (/ 2 (+ (exp x) (/ 1 (exp x))))) (cbrt (/ 2 (+ (exp x) (/ 1 (exp x)))))) (cbrt (/ 2 (+ (exp x) (/ 1 (exp x))))) (* (* (/ 2 (+ (exp x) (/ 1 (exp x)))) (/ 2 (+ (exp x) (/ 1 (exp x))))) (/ 2 (+ (exp x) (/ 1 (exp x))))) (sqrt (/ 2 (+ (exp x) (/ 1 (exp x))))) (sqrt (/ 2 (+ (exp x) (/ 1 (exp x))))) -2 (+ (- (exp x)) (/ -1 (exp x))) (* (/ (cbrt 2) (cbrt (+ (exp x) (/ 1 (exp x))))) (/ (cbrt 2) (cbrt (+ (exp x) (/ 1 (exp x)))))) (/ (cbrt 2) (cbrt (+ (exp x) (/ 1 (exp x))))) (* (/ (cbrt 2) (sqrt (+ (exp x) (/ 1 (exp x))))) (cbrt 2)) (/ (cbrt 2) (sqrt (+ (exp x) (/ 1 (exp x))))) (* (cbrt 2) (cbrt 2)) (/ (cbrt 2) (+ (exp x) (/ 1 (exp x)))) (* (cbrt 2) (cbrt 2)) (/ (cbrt 2) (+ (exp x) (/ 1 (exp x)))) (/ (/ (sqrt 2) (cbrt (+ (exp x) (/ 1 (exp x))))) (cbrt (+ (exp x) (/ 1 (exp x))))) (/ (sqrt 2) (cbrt (+ (exp x) (/ 1 (exp x))))) (/ (sqrt 2) (sqrt (+ (exp x) (/ 1 (exp x))))) (/ (sqrt 2) (sqrt (+ (exp x) (/ 1 (exp x))))) (sqrt 2) (/ (sqrt 2) (+ (exp x) (/ 1 (exp x)))) (sqrt 2) (/ (sqrt 2) (+ (exp x) (/ 1 (exp x)))) (/ 1 (* (cbrt (+ (exp x) (/ 1 (exp x)))) (cbrt (+ (exp x) (/ 1 (exp x)))))) (/ 2 (cbrt (+ (exp x) (/ 1 (exp x))))) (/ 1 (sqrt (+ (exp x) (/ 1 (exp x))))) (/ 2 (sqrt (+ (exp x) (/ 1 (exp x))))) 1 (/ 2 (+ (exp x) (/ 1 (exp x)))) 1 (/ 2 (+ (exp x) (/ 1 (exp x)))) (/ 1 (+ (exp x) (/ 1 (exp x)))) (/ (+ (exp x) (/ 1 (exp x))) 2) (/ (/ 2 (cbrt (+ (exp x) (/ 1 (exp x))))) (cbrt (+ (exp x) (/ 1 (exp x))))) (/ 2 (sqrt (+ (exp x) (/ 1 (exp x))))) 2 2 (/ (+ (exp x) (/ 1 (exp x))) (cbrt 2)) (/ (+ (exp x) (/ 1 (exp x))) (sqrt 2)) (/ (+ (exp x) (/ 1 (exp x))) 2) (/ 2 (fma (* (exp x) (exp x)) (exp x) (* (* (/ 1 (exp x)) (/ 1 (exp x))) (/ 1 (exp x))))) (/ (/ 2 (+ (exp x) (/ 1 (exp x)))) (- (exp x) (/ 1 (exp x)))) (real->posit16 (/ 2 (+ (exp x) (/ 1 (exp x))))) (exp (log1p (/ 2 (+ (exp x) (/ 1 (exp x)))))) (expm1 (/ 2 (+ (exp x) (/ 1 (exp x))))) (log1p (/ 2 (+ (exp x) (/ 1 (exp x))))) (log (/ 2 (+ (exp x) (/ 1 (exp x))))) (exp (/ 2 (+ (exp x) (/ 1 (exp x))))) (* (cbrt (/ 2 (+ (exp x) (/ 1 (exp x))))) (cbrt (/ 2 (+ (exp x) (/ 1 (exp x)))))) (cbrt (/ 2 (+ (exp x) (/ 1 (exp x))))) (* (* (/ 2 (+ (exp x) (/ 1 (exp x)))) (/ 2 (+ (exp x) (/ 1 (exp x))))) (/ 2 (+ (exp x) (/ 1 (exp x))))) (sqrt (/ 2 (+ (exp x) (/ 1 (exp x))))) (sqrt (/ 2 (+ (exp x) (/ 1 (exp x))))) (real->posit16 (/ 2 (+ (exp x) (/ 1 (exp x))))) (+ (/ 2 (+ (exp x) (/ 1 (exp x)))) 1) (/ 2 (+ (exp x) (/ 1 (exp x)))) (log1p (log1p (/ 2 (+ (exp x) (/ 1 (exp x)))))) (log (log1p (/ 2 (+ (exp x) (/ 1 (exp x)))))) (exp (log1p (/ 2 (+ (exp x) (/ 1 (exp x)))))) (* (cbrt (log1p (/ 2 (+ (exp x) (/ 1 (exp x)))))) (cbrt (log1p (/ 2 (+ (exp x) (/ 1 (exp x))))))) (cbrt (log1p (/ 2 (+ (exp x) (/ 1 (exp x)))))) (* (* (log1p (/ 2 (+ (exp x) (/ 1 (exp x))))) (log1p (/ 2 (+ (exp x) (/ 1 (exp x)))))) (log1p (/ 2 (+ (exp x) (/ 1 (exp x)))))) (sqrt (log1p (/ 2 (+ (exp x) (/ 1 (exp x)))))) (sqrt (log1p (/ 2 (+ (exp x) (/ 1 (exp x)))))) (real->posit16 (log1p (/ 2 (+ (exp x) (/ 1 (exp x)))))) (expm1 (+ (exp x) (/ 1 (exp x)))) (log1p (+ (exp x) (/ 1 (exp x)))) (exp (+ (exp x) (/ 1 (exp x)))) (log (+ (exp x) (/ 1 (exp x)))) (exp (+ (exp x) (/ 1 (exp x)))) (* (cbrt (+ (exp x) (/ 1 (exp x)))) (cbrt (+ (exp x) (/ 1 (exp x))))) (cbrt (+ (exp x) (/ 1 (exp x)))) (* (+ (exp x) (/ 1 (exp x))) (* (+ (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))) (sqrt (+ (exp x) (/ 1 (exp x)))) (sqrt (+ (exp x) (/ 1 (exp x)))) (fma (* (exp x) (exp x)) (exp x) (* (* (/ 1 (exp x)) (/ 1 (exp x))) (/ 1 (exp x)))) (fma (exp x) (exp x) (expm1 (* x -2))) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))) (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))) (real->posit16 (+ (exp x) (/ 1 (exp x)))) (fma (* x x) -1/2 (fma (* (* x x) (* x x)) 5/24 1)) (/ 2 (+ (exp x) (/ 1 (exp x)))) (/ 2 (+ (exp x) (/ 1 (exp x)))) (fma (* x x) -1/2 (fma (* (* x x) (* x x)) 5/24 1)) (/ 2 (+ (exp x) (/ 1 (exp x)))) (/ 2 (+ (exp x) (/ 1 (exp x)))) (fma -1/4 (* x x) (fma (* (* x x) (* x x)) 7/96 (log 2))) (log1p (/ 2 (+ (exp x) (/ 1 (exp x))))) (log1p (/ 2 (+ (exp x) (/ 1 (exp x))))) (+ (fma 1/12 (* (* x x) (* x x)) (* x x)) 2) (+ (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))) 1.923 * * * [progress]: adding candidates to table 2.192 * * [progress]: iteration 3 / 4 2.192 * * * [progress]: picking best candidate 2.194 * * * * [pick]: Picked # 2.194 * * * [progress]: localizing error 2.208 * * * [progress]: generating rewritten candidates 2.208 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.208 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.208 * * * [progress]: generating series expansions 2.208 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.209 * [backup-simplify]: Simplify (fma 5/24 (* x x) -1/2) into (fma 5/24 (pow x 2) -1/2) 2.209 * [approximate]: Taking taylor expansion of (fma 5/24 (pow x 2) -1/2) in (x) around 0 2.209 * [taylor]: Taking taylor expansion of (fma 5/24 (pow x 2) -1/2) in x 2.209 * [taylor]: Rewrote expression to (+ (* 5/24 (pow x 2)) -1/2) 2.209 * [taylor]: Taking taylor expansion of (* 5/24 (pow x 2)) in x 2.209 * [taylor]: Taking taylor expansion of 5/24 in x 2.209 * [backup-simplify]: Simplify 5/24 into 5/24 2.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.209 * [taylor]: Taking taylor expansion of x in x 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [taylor]: Taking taylor expansion of -1/2 in x 2.209 * [backup-simplify]: Simplify -1/2 into -1/2 2.209 * [taylor]: Taking taylor expansion of (fma 5/24 (pow x 2) -1/2) in x 2.209 * [taylor]: Rewrote expression to (+ (* 5/24 (pow x 2)) -1/2) 2.209 * [taylor]: Taking taylor expansion of (* 5/24 (pow x 2)) in x 2.209 * [taylor]: Taking taylor expansion of 5/24 in x 2.209 * [backup-simplify]: Simplify 5/24 into 5/24 2.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.209 * [taylor]: Taking taylor expansion of x in x 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [taylor]: Taking taylor expansion of -1/2 in x 2.209 * [backup-simplify]: Simplify -1/2 into -1/2 2.210 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.210 * [backup-simplify]: Simplify -1/2 into -1/2 2.210 * [backup-simplify]: Simplify (+ 0 0) into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify (* 1 1) into 1 2.210 * [backup-simplify]: Simplify (* 5/24 1) into 5/24 2.211 * [backup-simplify]: Simplify (+ 5/24 0) into 5/24 2.211 * [backup-simplify]: Simplify 5/24 into 5/24 2.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.211 * [backup-simplify]: Simplify (+ (* 5/24 0) (* 0 1)) into 0 2.212 * [backup-simplify]: Simplify (+ 0 0) into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.213 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (* 0 1))) into 0 2.213 * [backup-simplify]: Simplify (+ 0 0) into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.214 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.214 * [backup-simplify]: Simplify (+ 0 0) into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.216 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.216 * [backup-simplify]: Simplify (+ 0 0) into 0 2.216 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.218 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.218 * [backup-simplify]: Simplify (+ 0 0) into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.220 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.220 * [backup-simplify]: Simplify (+ 0 0) into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify (+ (* 5/24 (pow x 2)) -1/2) into (- (* 5/24 (pow x 2)) 1/2) 2.220 * [backup-simplify]: Simplify (fma 5/24 (* (/ 1 x) (/ 1 x)) -1/2) into (fma 5/24 (/ 1 (pow x 2)) -1/2) 2.220 * [approximate]: Taking taylor expansion of (fma 5/24 (/ 1 (pow x 2)) -1/2) in (x) around 0 2.220 * [taylor]: Taking taylor expansion of (fma 5/24 (/ 1 (pow x 2)) -1/2) in x 2.220 * [taylor]: Rewrote expression to (+ (* 5/24 (/ 1 (pow x 2))) -1/2) 2.220 * [taylor]: Taking taylor expansion of (* 5/24 (/ 1 (pow x 2))) in x 2.220 * [taylor]: Taking taylor expansion of 5/24 in x 2.220 * [backup-simplify]: Simplify 5/24 into 5/24 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (* 1 1) into 1 2.221 * [backup-simplify]: Simplify (/ 1 1) into 1 2.221 * [taylor]: Taking taylor expansion of -1/2 in x 2.221 * [backup-simplify]: Simplify -1/2 into -1/2 2.221 * [taylor]: Taking taylor expansion of (fma 5/24 (/ 1 (pow x 2)) -1/2) in x 2.221 * [taylor]: Rewrote expression to (+ (* 5/24 (/ 1 (pow x 2))) -1/2) 2.221 * [taylor]: Taking taylor expansion of (* 5/24 (/ 1 (pow x 2))) in x 2.221 * [taylor]: Taking taylor expansion of 5/24 in x 2.221 * [backup-simplify]: Simplify 5/24 into 5/24 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (* 1 1) into 1 2.222 * [backup-simplify]: Simplify (/ 1 1) into 1 2.222 * [taylor]: Taking taylor expansion of -1/2 in x 2.222 * [backup-simplify]: Simplify -1/2 into -1/2 2.222 * [backup-simplify]: Simplify (* 5/24 1) into 5/24 2.222 * [backup-simplify]: Simplify (+ 5/24 0) into 5/24 2.222 * [backup-simplify]: Simplify 5/24 into 5/24 2.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (+ (* 5/24 0) (* 0 1)) into 0 2.224 * [backup-simplify]: Simplify (+ 0 0) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.225 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (* 0 1))) into 0 2.226 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.226 * [backup-simplify]: Simplify -1/2 into -1/2 2.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.230 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.231 * [backup-simplify]: Simplify (+ 0 0) into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.234 * [backup-simplify]: Simplify (+ 0 0) into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.236 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.236 * [backup-simplify]: Simplify (+ 0 0) into 0 2.236 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.239 * [backup-simplify]: Simplify (+ 0 0) into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.241 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify (+ -1/2 (* 5/24 (pow (/ 1 (/ 1 x)) 2))) into (- (* 5/24 (pow x 2)) 1/2) 2.242 * [backup-simplify]: Simplify (fma 5/24 (* (/ 1 (- x)) (/ 1 (- x))) -1/2) into (fma 5/24 (/ 1 (pow x 2)) -1/2) 2.242 * [approximate]: Taking taylor expansion of (fma 5/24 (/ 1 (pow x 2)) -1/2) in (x) around 0 2.242 * [taylor]: Taking taylor expansion of (fma 5/24 (/ 1 (pow x 2)) -1/2) in x 2.242 * [taylor]: Rewrote expression to (+ (* 5/24 (/ 1 (pow x 2))) -1/2) 2.242 * [taylor]: Taking taylor expansion of (* 5/24 (/ 1 (pow x 2))) in x 2.242 * [taylor]: Taking taylor expansion of 5/24 in x 2.242 * [backup-simplify]: Simplify 5/24 into 5/24 2.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.242 * [taylor]: Taking taylor expansion of x in x 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 1 into 1 2.242 * [backup-simplify]: Simplify (* 1 1) into 1 2.243 * [backup-simplify]: Simplify (/ 1 1) into 1 2.243 * [taylor]: Taking taylor expansion of -1/2 in x 2.243 * [backup-simplify]: Simplify -1/2 into -1/2 2.243 * [taylor]: Taking taylor expansion of (fma 5/24 (/ 1 (pow x 2)) -1/2) in x 2.243 * [taylor]: Rewrote expression to (+ (* 5/24 (/ 1 (pow x 2))) -1/2) 2.243 * [taylor]: Taking taylor expansion of (* 5/24 (/ 1 (pow x 2))) in x 2.243 * [taylor]: Taking taylor expansion of 5/24 in x 2.243 * [backup-simplify]: Simplify 5/24 into 5/24 2.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.243 * [taylor]: Taking taylor expansion of x in x 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (* 1 1) into 1 2.243 * [backup-simplify]: Simplify (/ 1 1) into 1 2.243 * [taylor]: Taking taylor expansion of -1/2 in x 2.243 * [backup-simplify]: Simplify -1/2 into -1/2 2.244 * [backup-simplify]: Simplify (* 5/24 1) into 5/24 2.244 * [backup-simplify]: Simplify (+ 5/24 0) into 5/24 2.244 * [backup-simplify]: Simplify 5/24 into 5/24 2.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.245 * [backup-simplify]: Simplify (+ (* 5/24 0) (* 0 1)) into 0 2.245 * [backup-simplify]: Simplify (+ 0 0) into 0 2.245 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (* 0 1))) into 0 2.248 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.248 * [backup-simplify]: Simplify -1/2 into -1/2 2.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (+ 0 0) into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.252 * [backup-simplify]: Simplify (+ 0 0) into 0 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.254 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.254 * [backup-simplify]: Simplify (+ 0 0) into 0 2.254 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.256 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.256 * [backup-simplify]: Simplify (+ 0 0) into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.260 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.260 * [backup-simplify]: Simplify (+ 0 0) into 0 2.260 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.264 * [backup-simplify]: Simplify (+ 0 0) into 0 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify (+ -1/2 (* 5/24 (pow (/ 1 (/ 1 (- x))) 2))) into (- (* 5/24 (pow x 2)) 1/2) 2.264 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.264 * [backup-simplify]: Simplify (fma (* x x) (fma 5/24 (* x x) -1/2) 1) into (fma (pow x 2) (fma 5/24 (pow x 2) -1/2) 1) 2.265 * [approximate]: Taking taylor expansion of (fma (pow x 2) (fma 5/24 (pow x 2) -1/2) 1) in (x) around 0 2.265 * [taylor]: Taking taylor expansion of (fma (pow x 2) (fma 5/24 (pow x 2) -1/2) 1) in x 2.265 * [taylor]: Rewrote expression to (+ (* (pow x 2) (fma 5/24 (pow x 2) -1/2)) 1) 2.265 * [taylor]: Taking taylor expansion of (* (pow x 2) (fma 5/24 (pow x 2) -1/2)) in x 2.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.265 * [taylor]: Taking taylor expansion of x in x 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [taylor]: Taking taylor expansion of (fma 5/24 (pow x 2) -1/2) in x 2.265 * [taylor]: Rewrote expression to (+ (* 5/24 (pow x 2)) -1/2) 2.265 * [taylor]: Taking taylor expansion of (* 5/24 (pow x 2)) in x 2.265 * [taylor]: Taking taylor expansion of 5/24 in x 2.265 * [backup-simplify]: Simplify 5/24 into 5/24 2.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.265 * [taylor]: Taking taylor expansion of x in x 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [taylor]: Taking taylor expansion of -1/2 in x 2.265 * [backup-simplify]: Simplify -1/2 into -1/2 2.265 * [taylor]: Taking taylor expansion of 1 in x 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [taylor]: Taking taylor expansion of (fma (pow x 2) (fma 5/24 (pow x 2) -1/2) 1) in x 2.265 * [taylor]: Rewrote expression to (+ (* (pow x 2) (fma 5/24 (pow x 2) -1/2)) 1) 2.265 * [taylor]: Taking taylor expansion of (* (pow x 2) (fma 5/24 (pow x 2) -1/2)) in x 2.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.265 * [taylor]: Taking taylor expansion of x in x 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [taylor]: Taking taylor expansion of (fma 5/24 (pow x 2) -1/2) in x 2.265 * [taylor]: Rewrote expression to (+ (* 5/24 (pow x 2)) -1/2) 2.265 * [taylor]: Taking taylor expansion of (* 5/24 (pow x 2)) in x 2.265 * [taylor]: Taking taylor expansion of 5/24 in x 2.265 * [backup-simplify]: Simplify 5/24 into 5/24 2.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.265 * [taylor]: Taking taylor expansion of x in x 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.266 * [taylor]: Taking taylor expansion of -1/2 in x 2.266 * [backup-simplify]: Simplify -1/2 into -1/2 2.266 * [taylor]: Taking taylor expansion of 1 in x 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (+ 0 1) into 1 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (+ 0 0) into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify (* 1 1) into 1 2.267 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.267 * [backup-simplify]: Simplify (* 1 -1/2) into -1/2 2.268 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.268 * [backup-simplify]: Simplify -1/2 into -1/2 2.268 * [backup-simplify]: Simplify (+ 0 0) into 0 2.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 2.269 * [backup-simplify]: Simplify (+ 0 0) into 0 2.269 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (* 1 1) into 1 2.270 * [backup-simplify]: Simplify (* 5/24 1) into 5/24 2.270 * [backup-simplify]: Simplify (+ 5/24 0) into 5/24 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.272 * [backup-simplify]: Simplify (+ (* 1 5/24) (+ (* 0 0) (* 0 -1/2))) into 5/24 2.272 * [backup-simplify]: Simplify (+ 5/24 0) into 5/24 2.272 * [backup-simplify]: Simplify 5/24 into 5/24 2.272 * [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))) 2.273 * [backup-simplify]: Simplify (fma (* (/ 1 x) (/ 1 x)) (fma 5/24 (* (/ 1 x) (/ 1 x)) -1/2) 1) into (fma (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2) 1) 2.273 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2) 1) in (x) around 0 2.273 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2) 1) in x 2.273 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2)) 1) 2.273 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2)) in x 2.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.273 * [taylor]: Taking taylor expansion of x in x 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (* 1 1) into 1 2.273 * [backup-simplify]: Simplify (/ 1 1) into 1 2.273 * [taylor]: Taking taylor expansion of (fma 5/24 (/ 1 (pow x 2)) -1/2) in x 2.273 * [taylor]: Rewrote expression to (+ (* 5/24 (/ 1 (pow x 2))) -1/2) 2.273 * [taylor]: Taking taylor expansion of (* 5/24 (/ 1 (pow x 2))) in x 2.274 * [taylor]: Taking taylor expansion of 5/24 in x 2.274 * [backup-simplify]: Simplify 5/24 into 5/24 2.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.274 * [taylor]: Taking taylor expansion of x in x 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (* 1 1) into 1 2.274 * [backup-simplify]: Simplify (/ 1 1) into 1 2.274 * [taylor]: Taking taylor expansion of -1/2 in x 2.274 * [backup-simplify]: Simplify -1/2 into -1/2 2.274 * [taylor]: Taking taylor expansion of 1 in x 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2) 1) in x 2.274 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2)) 1) 2.274 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2)) in x 2.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.274 * [taylor]: Taking taylor expansion of x in x 2.274 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (* 1 1) into 1 2.275 * [backup-simplify]: Simplify (/ 1 1) into 1 2.275 * [taylor]: Taking taylor expansion of (fma 5/24 (/ 1 (pow x 2)) -1/2) in x 2.275 * [taylor]: Rewrote expression to (+ (* 5/24 (/ 1 (pow x 2))) -1/2) 2.275 * [taylor]: Taking taylor expansion of (* 5/24 (/ 1 (pow x 2))) in x 2.275 * [taylor]: Taking taylor expansion of 5/24 in x 2.275 * [backup-simplify]: Simplify 5/24 into 5/24 2.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.275 * [taylor]: Taking taylor expansion of x in x 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (* 1 1) into 1 2.276 * [backup-simplify]: Simplify (/ 1 1) into 1 2.276 * [taylor]: Taking taylor expansion of -1/2 in x 2.276 * [backup-simplify]: Simplify -1/2 into -1/2 2.276 * [taylor]: Taking taylor expansion of 1 in x 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (* 5/24 1) into 5/24 2.277 * [backup-simplify]: Simplify (+ 5/24 0) into 5/24 2.277 * [backup-simplify]: Simplify (* 1 5/24) into 5/24 2.277 * [backup-simplify]: Simplify (+ 5/24 0) into 5/24 2.277 * [backup-simplify]: Simplify 5/24 into 5/24 2.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (+ (* 5/24 0) (* 0 1)) into 0 2.279 * [backup-simplify]: Simplify (+ 0 0) into 0 2.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 5/24)) into 0 2.281 * [backup-simplify]: Simplify (+ 0 0) into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.283 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (* 0 1))) into 0 2.283 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 5/24))) into -1/2 2.286 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.286 * [backup-simplify]: Simplify -1/2 into -1/2 2.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.288 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.288 * [backup-simplify]: Simplify (+ 0 0) into 0 2.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 5/24)))) into 0 2.291 * [backup-simplify]: Simplify (+ 0 0) into 0 2.291 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.293 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.294 * [backup-simplify]: Simplify (+ 0 0) into 0 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 5/24))))) into 0 2.297 * [backup-simplify]: Simplify (+ 0 1) into 1 2.297 * [backup-simplify]: Simplify 1 into 1 2.297 * [backup-simplify]: Simplify (+ 1 (+ (* -1/2 (pow (/ 1 (/ 1 x)) 2)) (* 5/24 (pow (/ 1 (/ 1 x)) 4)))) into (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))) 2.297 * [backup-simplify]: Simplify (fma (* (/ 1 (- x)) (/ 1 (- x))) (fma 5/24 (* (/ 1 (- x)) (/ 1 (- x))) -1/2) 1) into (fma (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2) 1) 2.297 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2) 1) in (x) around 0 2.297 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2) 1) in x 2.297 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2)) 1) 2.297 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2)) in x 2.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.297 * [taylor]: Taking taylor expansion of x in x 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 1 into 1 2.298 * [backup-simplify]: Simplify (* 1 1) into 1 2.298 * [backup-simplify]: Simplify (/ 1 1) into 1 2.298 * [taylor]: Taking taylor expansion of (fma 5/24 (/ 1 (pow x 2)) -1/2) in x 2.298 * [taylor]: Rewrote expression to (+ (* 5/24 (/ 1 (pow x 2))) -1/2) 2.298 * [taylor]: Taking taylor expansion of (* 5/24 (/ 1 (pow x 2))) in x 2.298 * [taylor]: Taking taylor expansion of 5/24 in x 2.298 * [backup-simplify]: Simplify 5/24 into 5/24 2.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.298 * [taylor]: Taking taylor expansion of x in x 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 1 into 1 2.298 * [backup-simplify]: Simplify (* 1 1) into 1 2.299 * [backup-simplify]: Simplify (/ 1 1) into 1 2.299 * [taylor]: Taking taylor expansion of -1/2 in x 2.299 * [backup-simplify]: Simplify -1/2 into -1/2 2.299 * [taylor]: Taking taylor expansion of 1 in x 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2) 1) in x 2.299 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2)) 1) 2.299 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (fma 5/24 (/ 1 (pow x 2)) -1/2)) in x 2.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.299 * [taylor]: Taking taylor expansion of x in x 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.301 * [backup-simplify]: Simplify (* 1 1) into 1 2.302 * [backup-simplify]: Simplify (/ 1 1) into 1 2.302 * [taylor]: Taking taylor expansion of (fma 5/24 (/ 1 (pow x 2)) -1/2) in x 2.302 * [taylor]: Rewrote expression to (+ (* 5/24 (/ 1 (pow x 2))) -1/2) 2.302 * [taylor]: Taking taylor expansion of (* 5/24 (/ 1 (pow x 2))) in x 2.302 * [taylor]: Taking taylor expansion of 5/24 in x 2.302 * [backup-simplify]: Simplify 5/24 into 5/24 2.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.302 * [taylor]: Taking taylor expansion of x in x 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 1 into 1 2.302 * [backup-simplify]: Simplify (* 1 1) into 1 2.303 * [backup-simplify]: Simplify (/ 1 1) into 1 2.303 * [taylor]: Taking taylor expansion of -1/2 in x 2.303 * [backup-simplify]: Simplify -1/2 into -1/2 2.303 * [taylor]: Taking taylor expansion of 1 in x 2.303 * [backup-simplify]: Simplify 1 into 1 2.303 * [backup-simplify]: Simplify (* 5/24 1) into 5/24 2.304 * [backup-simplify]: Simplify (+ 5/24 0) into 5/24 2.304 * [backup-simplify]: Simplify (* 1 5/24) into 5/24 2.304 * [backup-simplify]: Simplify (+ 5/24 0) into 5/24 2.304 * [backup-simplify]: Simplify 5/24 into 5/24 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.306 * [backup-simplify]: Simplify (+ (* 5/24 0) (* 0 1)) into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 5/24)) into 0 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.308 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (* 0 1))) into 0 2.311 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.313 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 5/24))) into -1/2 2.313 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 2.313 * [backup-simplify]: Simplify -1/2 into -1/2 2.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.316 * [backup-simplify]: Simplify (+ 0 0) into 0 2.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 5/24)))) into 0 2.319 * [backup-simplify]: Simplify (+ 0 0) into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.321 * [backup-simplify]: Simplify (+ (* 5/24 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.322 * [backup-simplify]: Simplify (+ 0 0) into 0 2.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 5/24))))) into 0 2.325 * [backup-simplify]: Simplify (+ 0 1) into 1 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (+ 1 (+ (* -1/2 (pow (/ 1 (/ 1 (- x))) 2)) (* 5/24 (pow (/ 1 (/ 1 (- x))) 4)))) into (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))) 2.325 * * * [progress]: simplifying candidates 2.325 * * * * [progress]: [ 1 / 28 ] simplifiying candidate # 2.325 * * * * [progress]: [ 2 / 28 ] simplifiying candidate # 2.325 * * * * [progress]: [ 3 / 28 ] simplifiying candidate # 2.325 * * * * [progress]: [ 4 / 28 ] simplifiying candidate # 2.325 * * * * [progress]: [ 5 / 28 ] simplifiying candidate # 2.325 * * * * [progress]: [ 6 / 28 ] simplifiying candidate # 2.325 * * * * [progress]: [ 7 / 28 ] simplifiying candidate # 2.325 * * * * [progress]: [ 8 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 9 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 10 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 11 / 28 ] simplifiying candidate #real (real->posit16 (fma 5/24 (* x x) -1/2))) 1))> 2.326 * * * * [progress]: [ 12 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 13 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 14 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 15 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 16 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 17 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 18 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 19 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 20 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 21 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 22 / 28 ] simplifiying candidate #real (real->posit16 (fma (* x x) (fma 5/24 (* x x) -1/2) 1))))> 2.326 * * * * [progress]: [ 23 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 24 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 25 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 26 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 27 / 28 ] simplifiying candidate # 2.326 * * * * [progress]: [ 28 / 28 ] simplifiying candidate # 2.327 * [simplify]: Simplifying: (expm1 (fma 5/24 (* x x) -1/2)) (log1p (fma 5/24 (* x x) -1/2)) (* 5/24 (* x x)) (log (fma 5/24 (* x x) -1/2)) (exp (fma 5/24 (* x x) -1/2)) (* (cbrt (fma 5/24 (* x x) -1/2)) (cbrt (fma 5/24 (* x x) -1/2))) (cbrt (fma 5/24 (* x x) -1/2)) (* (* (fma 5/24 (* x x) -1/2) (fma 5/24 (* x x) -1/2)) (fma 5/24 (* x x) -1/2)) (sqrt (fma 5/24 (* x x) -1/2)) (sqrt (fma 5/24 (* x x) -1/2)) (real->posit16 (fma 5/24 (* x x) -1/2)) (expm1 (fma (* x x) (fma 5/24 (* x x) -1/2) 1)) (log1p (fma (* x x) (fma 5/24 (* x x) -1/2) 1)) (* (* x x) (fma 5/24 (* x x) -1/2)) (log (fma (* x x) (fma 5/24 (* x x) -1/2) 1)) (exp (fma (* x x) (fma 5/24 (* x x) -1/2) 1)) (* (cbrt (fma (* x x) (fma 5/24 (* x x) -1/2) 1)) (cbrt (fma (* x x) (fma 5/24 (* x x) -1/2) 1))) (cbrt (fma (* x x) (fma 5/24 (* x x) -1/2) 1)) (* (* (fma (* x x) (fma 5/24 (* x x) -1/2) 1) (fma (* x x) (fma 5/24 (* x x) -1/2) 1)) (fma (* x x) (fma 5/24 (* x x) -1/2) 1)) (sqrt (fma (* x x) (fma 5/24 (* x x) -1/2) 1)) (sqrt (fma (* x x) (fma 5/24 (* x x) -1/2) 1)) (real->posit16 (fma (* x x) (fma 5/24 (* x x) -1/2) 1)) (- (* 5/24 (pow x 2)) 1/2) (- (* 5/24 (pow x 2)) 1/2) (- (* 5/24 (pow x 2)) 1/2) (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))) (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))) (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))) 2.327 * * [simplify]: iteration 0: 40 enodes 2.338 * * [simplify]: iteration 1: 70 enodes 2.358 * * [simplify]: iteration 2: 166 enodes 2.435 * * [simplify]: iteration 3: 721 enodes 2.685 * * [simplify]: iteration complete: 2015 enodes 2.685 * * [simplify]: Extracting #0: cost 22 inf + 0 2.686 * * [simplify]: Extracting #1: cost 168 inf + 0 2.687 * * [simplify]: Extracting #2: cost 446 inf + 1136 2.692 * * [simplify]: Extracting #3: cost 432 inf + 20959 2.709 * * [simplify]: Extracting #4: cost 76 inf + 86542 2.735 * * [simplify]: Extracting #5: cost 0 inf + 104927 2.767 * * [simplify]: Extracting #6: cost 0 inf + 104459 2.800 * [simplify]: Simplified to: (expm1 (fma (* 5/24 x) x -1/2)) (log1p (fma (* 5/24 x) x -1/2)) (* 5/24 (* x x)) (log (fma (* 5/24 x) x -1/2)) (exp (fma (* 5/24 x) x -1/2)) (* (cbrt (fma (* 5/24 x) x -1/2)) (cbrt (fma (* 5/24 x) x -1/2))) (cbrt (fma (* 5/24 x) x -1/2)) (* (fma (* 5/24 x) x -1/2) (* (fma (* 5/24 x) x -1/2) (fma (* 5/24 x) x -1/2))) (sqrt (fma (* 5/24 x) x -1/2)) (sqrt (fma (* 5/24 x) x -1/2)) (real->posit16 (fma (* 5/24 x) x -1/2)) (expm1 (fma (fma (* 5/24 x) x -1/2) (* x x) 1)) (log1p (fma (fma (* 5/24 x) x -1/2) (* x x) 1)) (fma (* x x) -1/2 (* (* x x) (* 5/24 (* x x)))) (log (fma (fma (* 5/24 x) x -1/2) (* x x) 1)) (exp (fma (fma (* 5/24 x) x -1/2) (* x x) 1)) (* (cbrt (fma (fma (* 5/24 x) x -1/2) (* x x) 1)) (cbrt (fma (fma (* 5/24 x) x -1/2) (* x x) 1))) (cbrt (fma (fma (* 5/24 x) x -1/2) (* x x) 1)) (* (* (fma (fma (* 5/24 x) x -1/2) (* x x) 1) (fma (fma (* 5/24 x) x -1/2) (* x x) 1)) (fma (fma (* 5/24 x) x -1/2) (* x x) 1)) (sqrt (fma (fma (* 5/24 x) x -1/2) (* x x) 1)) (sqrt (fma (fma (* 5/24 x) x -1/2) (* x x) 1)) (real->posit16 (fma (fma (* 5/24 x) x -1/2) (* x x) 1)) (fma (* 5/24 x) x -1/2) (fma (* 5/24 x) x -1/2) (fma (* 5/24 x) x -1/2) (fma (fma (* 5/24 x) x -1/2) (* x x) 1) (fma (fma (* 5/24 x) x -1/2) (* x x) 1) (fma (fma (* 5/24 x) x -1/2) (* x x) 1) 2.802 * * * [progress]: adding candidates to table 2.903 * [progress]: [Phase 3 of 3] Extracting. 2.903 * * [regime]: Finding splitpoints for: (# #) 2.903 * * * [regime-changes]: Trying 3 branch expressions: ((+ (exp x) (exp (- x))) (/ 2 (+ (exp x) (exp (- x)))) x) 2.903 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# #) 2.922 * * * * [regimes]: Trying to branch on (/ 2 (+ (exp x) (exp (- x)))) from (# #) 2.941 * * * * [regimes]: Trying to branch on x from (# #) 2.958 * * * [regime]: Found split indices: #