0.100 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (/ (+ x y) (* (* x 2.0) y)) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: Extracting # 1 : cost 0 0.021 * * [simplify]: Extracting # 2 : cost 0 0.021 * * [simplify]: Extracting # 3 : cost 0 0.021 * * [simplify]: Extracting # 4 : cost 0 0.021 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.022 * * [simplify]: Extracting # 0 : cost 0 0.022 * * [simplify]: Extracting # 1 : cost 0 0.022 * * [simplify]: Extracting # 2 : cost 0 0.022 * * [simplify]: iteration 1 : 14 enodes (cost 9 ) 0.025 * * [simplify]: Extracting # 0 : cost 0 0.025 * * [simplify]: Extracting # 1 : cost 0 0.025 * * [simplify]: Extracting # 2 : cost 0 0.025 * * [simplify]: iteration 2 : 28 enodes (cost 9 ) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.030 * * [simplify]: iteration 3 : 42 enodes (cost 9 ) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.036 * * [simplify]: iteration 4 : 44 enodes (cost 9 ) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: iteration done: 44 enodes (cost 9 ) 0.042 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.045 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.119 * * * [progress]: generating series expansions 0.119 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.119 * [backup-simplify]: Simplify (/ (+ x y) (* (* x 2.0) y)) into (* 0.5 (/ (+ x y) (* x y))) 0.119 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.119 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.119 * [taylor]: Taking taylor expansion of 0.5 in y 0.119 * [backup-simplify]: Simplify 0.5 into 0.5 0.119 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.119 * [taylor]: Taking taylor expansion of (+ x y) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [backup-simplify]: Simplify x into x 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [taylor]: Taking taylor expansion of (* x y) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [backup-simplify]: Simplify x into x 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (+ x 0) into x 0.119 * [backup-simplify]: Simplify (* x 0) into 0 0.120 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.120 * [backup-simplify]: Simplify (/ x x) into 1 0.120 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.120 * [taylor]: Taking taylor expansion of 0.5 in x 0.120 * [backup-simplify]: Simplify 0.5 into 0.5 0.120 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.120 * [taylor]: Taking taylor expansion of (+ x y) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [taylor]: Taking taylor expansion of (* x y) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [backup-simplify]: Simplify (+ 0 y) into y 0.120 * [backup-simplify]: Simplify (* 0 y) into 0 0.121 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.121 * [backup-simplify]: Simplify (/ y y) into 1 0.121 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.121 * [taylor]: Taking taylor expansion of 0.5 in x 0.121 * [backup-simplify]: Simplify 0.5 into 0.5 0.121 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.121 * [taylor]: Taking taylor expansion of (+ x y) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [backup-simplify]: Simplify y into y 0.121 * [taylor]: Taking taylor expansion of (* x y) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [backup-simplify]: Simplify y into y 0.121 * [backup-simplify]: Simplify (+ 0 y) into y 0.121 * [backup-simplify]: Simplify (* 0 y) into 0 0.121 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.121 * [backup-simplify]: Simplify (/ y y) into 1 0.122 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.122 * [taylor]: Taking taylor expansion of 0.5 in y 0.122 * [backup-simplify]: Simplify 0.5 into 0.5 0.122 * [backup-simplify]: Simplify (+ 1 0) into 1 0.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.123 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.123 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (* 0 1)) into (* 0.5 (/ 1 y)) 0.123 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.123 * [taylor]: Taking taylor expansion of 0.5 in y 0.123 * [backup-simplify]: Simplify 0.5 into 0.5 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.124 * [backup-simplify]: Simplify 0.5 into 0.5 0.124 * [backup-simplify]: Simplify 0.5 into 0.5 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.125 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.125 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.128 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.135 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 x))) (* 0.5 (* (/ 1 y) 1))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.136 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) 0.136 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.136 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.136 * [taylor]: Taking taylor expansion of 0.5 in y 0.136 * [backup-simplify]: Simplify 0.5 into 0.5 0.136 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [backup-simplify]: Simplify x into x 0.136 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.136 * [taylor]: Taking taylor expansion of (* y x) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [backup-simplify]: Simplify x into x 0.137 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.137 * [taylor]: Taking taylor expansion of 0.5 in x 0.137 * [backup-simplify]: Simplify 0.5 into 0.5 0.137 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [backup-simplify]: Simplify y into y 0.137 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [taylor]: Taking taylor expansion of (* y x) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [backup-simplify]: Simplify y into y 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.138 * [taylor]: Taking taylor expansion of 0.5 in x 0.138 * [backup-simplify]: Simplify 0.5 into 0.5 0.138 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [backup-simplify]: Simplify y into y 0.138 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [taylor]: Taking taylor expansion of (* y x) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (+ 0 1) into 1 0.139 * [backup-simplify]: Simplify (* y 0) into 0 0.140 * [backup-simplify]: Simplify (* 1 0) into 0 0.140 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* y 1) (* 0 0)) into y 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.142 * [backup-simplify]: Simplify (+ (* 1 y) (* (/ 1 y) 0)) into y 0.142 * [backup-simplify]: Simplify (+ (* 0.5 y) (* 0 0)) into (* 0.5 y) 0.142 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.142 * [taylor]: Taking taylor expansion of 0.5 in y 0.142 * [backup-simplify]: Simplify 0.5 into 0.5 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) y) (* 0 0))) into 1 0.146 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 y) (* 0 0))) into 0.5 0.146 * [taylor]: Taking taylor expansion of 0.5 in y 0.146 * [backup-simplify]: Simplify 0.5 into 0.5 0.146 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 y) (* 0 0)))) into 0 0.151 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0.5 into 0.5 0.152 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.152 * [backup-simplify]: Simplify 0.5 into 0.5 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.157 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))))) into 0 0.162 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 y) 1)) (* 0.5 (* 1 (/ 1 x)))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.162 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) 0.162 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.162 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.162 * [taylor]: Taking taylor expansion of -0.5 in y 0.162 * [backup-simplify]: Simplify -0.5 into -0.5 0.162 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [backup-simplify]: Simplify x into x 0.163 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.163 * [taylor]: Taking taylor expansion of (* y x) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [backup-simplify]: Simplify x into x 0.163 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.163 * [taylor]: Taking taylor expansion of -0.5 in x 0.163 * [backup-simplify]: Simplify -0.5 into -0.5 0.163 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [backup-simplify]: Simplify y into y 0.163 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (* y x) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.164 * [taylor]: Taking taylor expansion of -0.5 in x 0.164 * [backup-simplify]: Simplify -0.5 into -0.5 0.164 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (* y x) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ 0 1) into 1 0.165 * [backup-simplify]: Simplify (* y 0) into 0 0.165 * [backup-simplify]: Simplify (* 1 0) into 0 0.165 * [backup-simplify]: Simplify (* -0.5 0) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* y 1) (* 0 0)) into y 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.166 * [backup-simplify]: Simplify (+ (* 1 y) (* (/ 1 y) 0)) into y 0.166 * [backup-simplify]: Simplify (+ (* -0.5 y) (* 0 0)) into (- (* 0.5 y)) 0.166 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.166 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.166 * [taylor]: Taking taylor expansion of 0.5 in y 0.166 * [backup-simplify]: Simplify 0.5 into 0.5 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) y) (* 0 0))) into 1 0.169 * [backup-simplify]: Simplify (+ (* -0.5 1) (+ (* 0 y) (* 0 0))) into (- 0.5) 0.169 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.169 * [taylor]: Taking taylor expansion of 0.5 in y 0.169 * [backup-simplify]: Simplify 0.5 into 0.5 0.169 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 y) (* 0 0)))) into 0 0.172 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.173 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.173 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.174 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.174 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.177 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))))) into 0 0.182 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- y)) 1)) (* (- 0.5) (* 1 (/ 1 (- x))))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.183 * * * [progress]: simplifying candidates 0.183 * [simplify]: Simplifying: (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (- (log (+ x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (+ x y)) (+ (log (* x 2.0)) (log y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (* (* (/ (+ x y) (* (* x 2.0) y)) (/ (+ x y) (* (* x 2.0) y))) (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (* x 2.0) y) (+ (* x x) (- (* y y) (* x y)))) (* (* (* x 2.0) y) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.184 * * [simplify]: Extracting # 0 : cost 0 0.184 * * [simplify]: Extracting # 1 : cost 0 0.184 * * [simplify]: Extracting # 2 : cost 0 0.184 * * [simplify]: Extracting # 3 : cost 0 0.184 * * [simplify]: Extracting # 4 : cost 0 0.184 * * [simplify]: Extracting # 5 : cost 0 0.184 * * [simplify]: Extracting # 6 : cost 0 0.184 * * [simplify]: Extracting # 7 : cost 0 0.185 * * [simplify]: iteration 0 : 75 enodes (cost 426 ) 0.214 * * [simplify]: Extracting # 0 : cost 0 0.215 * * [simplify]: Extracting # 1 : cost 0 0.215 * * [simplify]: Extracting # 2 : cost 0 0.216 * * [simplify]: Extracting # 3 : cost 0 0.216 * * [simplify]: iteration 1 : 218 enodes (cost 411 ) 0.337 * * [simplify]: Extracting # 0 : cost 0 0.339 * * [simplify]: Extracting # 1 : cost 0 0.342 * * [simplify]: Extracting # 2 : cost 0 0.344 * * [simplify]: Extracting # 3 : cost 0 0.346 * * [simplify]: Extracting # 4 : cost 0 0.348 * * [simplify]: iteration 2 : 874 enodes (cost 333 ) 2.439 * * [simplify]: Extracting # 0 : cost 0 2.447 * * [simplify]: Extracting # 1 : cost 0 2.452 * * [simplify]: Extracting # 2 : cost 0 2.457 * * [simplify]: Extracting # 3 : cost 0 2.462 * * [simplify]: iteration 3 : 4593 enodes (cost 333 ) 3.946 * * [simplify]: Extracting # 0 : cost 0 3.952 * * [simplify]: Extracting # 1 : cost 0 3.965 * * [simplify]: iteration done: 5000 enodes (cost 333 ) 3.965 * [simplify]: Simplified to: (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (fma x x (* y (- y x))) (* (* x 2.0) y)) (* (* (* x 2.0) y) (- x y)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) 3.965 * * * [progress]: adding candidates to table 4.048 * * [progress]: iteration 2 / 4 4.048 * * * [progress]: picking best candidate 4.052 * * * * [pick]: Picked # 4.053 * * * [progress]: localizing error 4.060 * * * [progress]: generating rewritten candidates 4.060 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.087 * * * [progress]: generating series expansions 4.087 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.087 * [backup-simplify]: Simplify (+ (/ 0.5 y) (/ 0.5 x)) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 4.087 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in (y x) around 0 4.087 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in x 4.087 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 4.087 * [taylor]: Taking taylor expansion of 0.5 in x 4.087 * [backup-simplify]: Simplify 0.5 into 0.5 4.087 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.087 * [taylor]: Taking taylor expansion of y in x 4.087 * [backup-simplify]: Simplify y into y 4.087 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.087 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 4.087 * [taylor]: Taking taylor expansion of 0.5 in x 4.087 * [backup-simplify]: Simplify 0.5 into 0.5 4.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.087 * [taylor]: Taking taylor expansion of x in x 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.088 * [backup-simplify]: Simplify (/ 1 1) into 1 4.088 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 4.088 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 4.088 * [taylor]: Taking taylor expansion of 0.5 in y 4.088 * [backup-simplify]: Simplify 0.5 into 0.5 4.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.088 * [taylor]: Taking taylor expansion of y in y 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 1 into 1 4.088 * [backup-simplify]: Simplify (/ 1 1) into 1 4.088 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 4.088 * [taylor]: Taking taylor expansion of 0.5 in y 4.088 * [backup-simplify]: Simplify 0.5 into 0.5 4.088 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.088 * [taylor]: Taking taylor expansion of x in y 4.088 * [backup-simplify]: Simplify x into x 4.088 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.088 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 4.088 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 4.088 * [taylor]: Taking taylor expansion of 0.5 in y 4.088 * [backup-simplify]: Simplify 0.5 into 0.5 4.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.088 * [taylor]: Taking taylor expansion of y in y 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 1 into 1 4.089 * [backup-simplify]: Simplify (/ 1 1) into 1 4.089 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 4.089 * [taylor]: Taking taylor expansion of 0.5 in y 4.089 * [backup-simplify]: Simplify 0.5 into 0.5 4.089 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.089 * [taylor]: Taking taylor expansion of x in y 4.089 * [backup-simplify]: Simplify x into x 4.089 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.089 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.089 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.090 * [taylor]: Taking taylor expansion of 0.5 in x 4.090 * [backup-simplify]: Simplify 0.5 into 0.5 4.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.091 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.091 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.091 * [backup-simplify]: Simplify (+ 0 (/ 0.5 x)) into (* 0.5 (/ 1 x)) 4.091 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 4.091 * [taylor]: Taking taylor expansion of 0.5 in x 4.091 * [backup-simplify]: Simplify 0.5 into 0.5 4.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.091 * [taylor]: Taking taylor expansion of x in x 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.092 * [backup-simplify]: Simplify (/ 1 1) into 1 4.092 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.092 * [backup-simplify]: Simplify 0.5 into 0.5 4.092 * [backup-simplify]: Simplify 0.5 into 0.5 4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.094 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.095 * [backup-simplify]: Simplify (+ 0 0) into 0 4.095 * [taylor]: Taking taylor expansion of 0 in x 4.095 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.100 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.100 * [backup-simplify]: Simplify (+ 0 0) into 0 4.100 * [taylor]: Taking taylor expansion of 0 in x 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.106 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.107 * [backup-simplify]: Simplify (+ 0 0) into 0 4.107 * [taylor]: Taking taylor expansion of 0 in x 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 y))) (* 0.5 (* (/ 1 x) 1))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 4.107 * [backup-simplify]: Simplify (+ (/ 0.5 (/ 1 y)) (/ 0.5 (/ 1 x))) into (+ (* 0.5 x) (* 0.5 y)) 4.107 * [approximate]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in (y x) around 0 4.107 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in x 4.107 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.107 * [taylor]: Taking taylor expansion of 0.5 in x 4.107 * [backup-simplify]: Simplify 0.5 into 0.5 4.107 * [taylor]: Taking taylor expansion of x in x 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 4.107 * [taylor]: Taking taylor expansion of 0.5 in x 4.107 * [backup-simplify]: Simplify 0.5 into 0.5 4.108 * [taylor]: Taking taylor expansion of y in x 4.108 * [backup-simplify]: Simplify y into y 4.108 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 4.108 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 4.108 * [taylor]: Taking taylor expansion of 0.5 in y 4.108 * [backup-simplify]: Simplify 0.5 into 0.5 4.108 * [taylor]: Taking taylor expansion of x in y 4.108 * [backup-simplify]: Simplify x into x 4.108 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 4.108 * [taylor]: Taking taylor expansion of 0.5 in y 4.108 * [backup-simplify]: Simplify 0.5 into 0.5 4.108 * [taylor]: Taking taylor expansion of y in y 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 1 into 1 4.108 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 4.108 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 4.108 * [taylor]: Taking taylor expansion of 0.5 in y 4.108 * [backup-simplify]: Simplify 0.5 into 0.5 4.108 * [taylor]: Taking taylor expansion of x in y 4.108 * [backup-simplify]: Simplify x into x 4.108 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 4.108 * [taylor]: Taking taylor expansion of 0.5 in y 4.108 * [backup-simplify]: Simplify 0.5 into 0.5 4.108 * [taylor]: Taking taylor expansion of y in y 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 1 into 1 4.108 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.109 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.109 * [backup-simplify]: Simplify (+ (* 0.5 x) 0) into (* 0.5 x) 4.109 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.109 * [taylor]: Taking taylor expansion of 0.5 in x 4.109 * [backup-simplify]: Simplify 0.5 into 0.5 4.109 * [taylor]: Taking taylor expansion of x in x 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 1 into 1 4.110 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 x)) into 0 4.112 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.112 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.112 * [taylor]: Taking taylor expansion of 0.5 in x 4.112 * [backup-simplify]: Simplify 0.5 into 0.5 4.112 * [backup-simplify]: Simplify 0.5 into 0.5 4.114 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.114 * [backup-simplify]: Simplify 0.5 into 0.5 4.115 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 x))) into 0 4.116 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.116 * [backup-simplify]: Simplify (+ 0 0) into 0 4.116 * [taylor]: Taking taylor expansion of 0 in x 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.119 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.120 * [backup-simplify]: Simplify (+ 0 0) into 0 4.120 * [taylor]: Taking taylor expansion of 0 in x 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 x) 1)) (* 0.5 (* 1 (/ 1 y)))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 4.120 * [backup-simplify]: Simplify (+ (/ 0.5 (/ 1 (- y))) (/ 0.5 (/ 1 (- x)))) into (- (+ (* 0.5 x) (* 0.5 y))) 4.120 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in (y x) around 0 4.120 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in x 4.120 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in x 4.120 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.121 * [taylor]: Taking taylor expansion of 0.5 in x 4.121 * [backup-simplify]: Simplify 0.5 into 0.5 4.121 * [taylor]: Taking taylor expansion of x in x 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.121 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 4.121 * [taylor]: Taking taylor expansion of 0.5 in x 4.121 * [backup-simplify]: Simplify 0.5 into 0.5 4.121 * [taylor]: Taking taylor expansion of y in x 4.121 * [backup-simplify]: Simplify y into y 4.121 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in y 4.121 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 4.121 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 4.121 * [taylor]: Taking taylor expansion of 0.5 in y 4.121 * [backup-simplify]: Simplify 0.5 into 0.5 4.121 * [taylor]: Taking taylor expansion of x in y 4.121 * [backup-simplify]: Simplify x into x 4.121 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 4.121 * [taylor]: Taking taylor expansion of 0.5 in y 4.121 * [backup-simplify]: Simplify 0.5 into 0.5 4.121 * [taylor]: Taking taylor expansion of y in y 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.121 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in y 4.121 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 4.121 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 4.121 * [taylor]: Taking taylor expansion of 0.5 in y 4.121 * [backup-simplify]: Simplify 0.5 into 0.5 4.121 * [taylor]: Taking taylor expansion of x in y 4.121 * [backup-simplify]: Simplify x into x 4.121 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 4.121 * [taylor]: Taking taylor expansion of 0.5 in y 4.121 * [backup-simplify]: Simplify 0.5 into 0.5 4.121 * [taylor]: Taking taylor expansion of y in y 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.122 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.122 * [backup-simplify]: Simplify (+ (* 0.5 x) 0) into (* 0.5 x) 4.122 * [backup-simplify]: Simplify (- (* 0.5 x)) into (- (* 0.5 x)) 4.122 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 4.122 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.122 * [taylor]: Taking taylor expansion of 0.5 in x 4.122 * [backup-simplify]: Simplify 0.5 into 0.5 4.122 * [taylor]: Taking taylor expansion of x in x 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.123 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.123 * [backup-simplify]: Simplify (- 0) into 0 4.123 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 x)) into 0 4.125 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.126 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.126 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.126 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.126 * [taylor]: Taking taylor expansion of 0.5 in x 4.126 * [backup-simplify]: Simplify 0.5 into 0.5 4.127 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.127 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.128 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.129 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.129 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.130 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 x))) into 0 4.131 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.131 * [backup-simplify]: Simplify (+ 0 0) into 0 4.132 * [backup-simplify]: Simplify (- 0) into 0 4.132 * [taylor]: Taking taylor expansion of 0 in x 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (- 0) into 0 4.132 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.133 * [backup-simplify]: Simplify (- 0) into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.136 * [backup-simplify]: Simplify (+ 0 0) into 0 4.136 * [backup-simplify]: Simplify (- 0) into 0 4.136 * [taylor]: Taking taylor expansion of 0 in x 4.136 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify (- 0) into 0 4.137 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- x)) 1)) (* (- 0.5) (* 1 (/ 1 (- y))))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 4.138 * * * [progress]: simplifying candidates 4.139 * [simplify]: Simplifying: (expm1 (+ (/ 0.5 y) (/ 0.5 x))) (log1p (+ (/ 0.5 y) (/ 0.5 x))) (* (exp (/ 0.5 y)) (exp (/ 0.5 x))) (log (+ (/ 0.5 y) (/ 0.5 x))) (exp (+ (/ 0.5 y) (/ 0.5 x))) (* (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (cbrt (+ (/ 0.5 y) (/ 0.5 x)))) (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (* (* (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x))) (+ (/ 0.5 y) (/ 0.5 x))) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (+ (* 0.5 x) (* y 0.5)) (* y x) (+ (pow (/ 0.5 y) 3) (pow (/ 0.5 x) 3)) (+ (* (/ 0.5 y) (/ 0.5 y)) (- (* (/ 0.5 x) (/ 0.5 x)) (* (/ 0.5 y) (/ 0.5 x)))) (- (* (/ 0.5 y) (/ 0.5 y)) (* (/ 0.5 x) (/ 0.5 x))) (- (/ 0.5 y) (/ 0.5 x)) (+ (/ (cbrt 0.5) y) (/ (cbrt 0.5) x)) (+ (/ (sqrt 0.5) y) (/ (sqrt 0.5) x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 1 y) (/ 1 x)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 4.140 * * [simplify]: Extracting # 0 : cost 0 4.140 * * [simplify]: Extracting # 1 : cost 0 4.140 * * [simplify]: Extracting # 2 : cost 0 4.140 * * [simplify]: Extracting # 3 : cost 0 4.140 * * [simplify]: Extracting # 4 : cost 0 4.140 * * [simplify]: Extracting # 5 : cost 0 4.141 * * [simplify]: Extracting # 6 : cost 0 4.141 * * [simplify]: iteration 0 : 48 enodes (cost 243 ) 4.169 * * [simplify]: Extracting # 0 : cost 0 4.170 * * [simplify]: Extracting # 1 : cost 0 4.170 * * [simplify]: Extracting # 2 : cost 0 4.170 * * [simplify]: Extracting # 3 : cost 0 4.170 * * [simplify]: Extracting # 4 : cost 0 4.171 * * [simplify]: iteration 1 : 124 enodes (cost 230 ) 4.248 * * [simplify]: Extracting # 0 : cost 0 4.249 * * [simplify]: Extracting # 1 : cost 0 4.249 * * [simplify]: Extracting # 2 : cost 0 4.250 * * [simplify]: Extracting # 3 : cost 0 4.251 * * [simplify]: iteration 2 : 306 enodes (cost 209 ) 4.429 * * [simplify]: Extracting # 0 : cost 0 4.430 * * [simplify]: Extracting # 1 : cost 0 4.431 * * [simplify]: Extracting # 2 : cost 0 4.432 * * [simplify]: Extracting # 3 : cost 0 4.433 * * [simplify]: Extracting # 4 : cost 0 4.434 * * [simplify]: iteration 3 : 897 enodes (cost 209 ) 6.274 * * [simplify]: Extracting # 0 : cost 0 6.284 * * [simplify]: Extracting # 1 : cost 0 6.291 * * [simplify]: Extracting # 2 : cost 0 6.309 * * [simplify]: Extracting # 3 : cost 0 6.317 * * [simplify]: Extracting # 4 : cost 0 6.325 * * [simplify]: Extracting # 5 : cost 0 6.332 * * [simplify]: iteration 4 : 4235 enodes (cost 206 ) 8.307 * * [simplify]: Extracting # 0 : cost 0 8.313 * * [simplify]: Extracting # 1 : cost 0 8.320 * * [simplify]: iteration done: 5000 enodes (cost 206 ) 8.321 * [simplify]: Simplified to: (expm1 (+ (/ 0.5 y) (/ 0.5 x))) (log1p (+ (/ 0.5 y) (/ 0.5 x))) (exp (+ (/ 0.5 y) (/ 0.5 x))) (log (+ (/ 0.5 y) (/ 0.5 x))) (exp (+ (/ 0.5 y) (/ 0.5 x))) (* (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (cbrt (+ (/ 0.5 y) (/ 0.5 x)))) (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (pow (+ (/ 0.5 y) (/ 0.5 x)) 3) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (* 0.5 (+ x y)) (* x y) (+ (pow (/ 0.5 y) 3) (pow (/ 0.5 x) 3)) (* 0.5 (+ (/ (- (/ 0.5 x) (/ 0.5 y)) x) (/ 0.5 (* y y)))) (* 0.5 (- (/ 0.5 (* y y)) (/ (/ 0.5 x) x))) (- (/ 0.5 y) (/ 0.5 x)) (+ (/ (cbrt 0.5) y) (/ (cbrt 0.5) x)) (+ (/ (sqrt 0.5) y) (/ (sqrt 0.5) x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) 8.321 * * * [progress]: adding candidates to table 8.419 * * [progress]: iteration 3 / 4 8.419 * * * [progress]: picking best candidate 8.420 * * * * [pick]: Picked # 8.420 * * * [progress]: localizing error 8.428 * * * [progress]: generating rewritten candidates 8.428 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.474 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 8.501 * * * [progress]: generating series expansions 8.501 * * * * [progress]: [ 1 / 2 ] generating series at (2) 8.501 * [backup-simplify]: Simplify (/ (/ (+ x y) (* x 2.0)) y) into (* 0.5 (/ (+ x y) (* x y))) 8.501 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 8.501 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 8.501 * [taylor]: Taking taylor expansion of 0.5 in y 8.502 * [backup-simplify]: Simplify 0.5 into 0.5 8.502 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 8.502 * [taylor]: Taking taylor expansion of (+ x y) in y 8.502 * [taylor]: Taking taylor expansion of x in y 8.502 * [backup-simplify]: Simplify x into x 8.502 * [taylor]: Taking taylor expansion of y in y 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 1 into 1 8.502 * [taylor]: Taking taylor expansion of (* x y) in y 8.502 * [taylor]: Taking taylor expansion of x in y 8.502 * [backup-simplify]: Simplify x into x 8.502 * [taylor]: Taking taylor expansion of y in y 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 1 into 1 8.502 * [backup-simplify]: Simplify (+ x 0) into x 8.502 * [backup-simplify]: Simplify (* x 0) into 0 8.502 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 8.502 * [backup-simplify]: Simplify (/ x x) into 1 8.502 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 8.502 * [taylor]: Taking taylor expansion of 0.5 in x 8.502 * [backup-simplify]: Simplify 0.5 into 0.5 8.502 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 8.502 * [taylor]: Taking taylor expansion of (+ x y) in x 8.502 * [taylor]: Taking taylor expansion of x in x 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 1 into 1 8.503 * [taylor]: Taking taylor expansion of y in x 8.503 * [backup-simplify]: Simplify y into y 8.503 * [taylor]: Taking taylor expansion of (* x y) in x 8.503 * [taylor]: Taking taylor expansion of x in x 8.503 * [backup-simplify]: Simplify 0 into 0 8.503 * [backup-simplify]: Simplify 1 into 1 8.503 * [taylor]: Taking taylor expansion of y in x 8.503 * [backup-simplify]: Simplify y into y 8.503 * [backup-simplify]: Simplify (+ 0 y) into y 8.503 * [backup-simplify]: Simplify (* 0 y) into 0 8.503 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 8.503 * [backup-simplify]: Simplify (/ y y) into 1 8.503 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 8.503 * [taylor]: Taking taylor expansion of 0.5 in x 8.503 * [backup-simplify]: Simplify 0.5 into 0.5 8.503 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 8.503 * [taylor]: Taking taylor expansion of (+ x y) in x 8.503 * [taylor]: Taking taylor expansion of x in x 8.503 * [backup-simplify]: Simplify 0 into 0 8.503 * [backup-simplify]: Simplify 1 into 1 8.503 * [taylor]: Taking taylor expansion of y in x 8.503 * [backup-simplify]: Simplify y into y 8.503 * [taylor]: Taking taylor expansion of (* x y) in x 8.503 * [taylor]: Taking taylor expansion of x in x 8.503 * [backup-simplify]: Simplify 0 into 0 8.503 * [backup-simplify]: Simplify 1 into 1 8.503 * [taylor]: Taking taylor expansion of y in x 8.503 * [backup-simplify]: Simplify y into y 8.503 * [backup-simplify]: Simplify (+ 0 y) into y 8.503 * [backup-simplify]: Simplify (* 0 y) into 0 8.504 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 8.504 * [backup-simplify]: Simplify (/ y y) into 1 8.504 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.504 * [taylor]: Taking taylor expansion of 0.5 in y 8.504 * [backup-simplify]: Simplify 0.5 into 0.5 8.504 * [backup-simplify]: Simplify (+ 1 0) into 1 8.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 8.505 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 8.505 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (* 0 1)) into (* 0.5 (/ 1 y)) 8.505 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 8.506 * [taylor]: Taking taylor expansion of 0.5 in y 8.506 * [backup-simplify]: Simplify 0.5 into 0.5 8.506 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.506 * [taylor]: Taking taylor expansion of y in y 8.506 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify 1 into 1 8.506 * [backup-simplify]: Simplify (/ 1 1) into 1 8.507 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.507 * [backup-simplify]: Simplify 0.5 into 0.5 8.507 * [backup-simplify]: Simplify 0.5 into 0.5 8.507 * [backup-simplify]: Simplify (+ 0 0) into 0 8.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 8.508 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 8.509 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 8.509 * [taylor]: Taking taylor expansion of 0 in y 8.509 * [backup-simplify]: Simplify 0 into 0 8.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.511 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify (+ 0 0) into 0 8.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.513 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.514 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 8.514 * [taylor]: Taking taylor expansion of 0 in y 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 0 into 0 8.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.516 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify (+ 0 0) into 0 8.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 8.519 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.521 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 8.521 * [taylor]: Taking taylor expansion of 0 in y 8.521 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 x))) (* 0.5 (* (/ 1 y) 1))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 8.521 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 x) (/ 1 y)) (* (/ 1 x) 2.0)) (/ 1 y)) into (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) 8.521 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 8.521 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 8.521 * [taylor]: Taking taylor expansion of 0.5 in y 8.521 * [backup-simplify]: Simplify 0.5 into 0.5 8.521 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 8.521 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.521 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.522 * [taylor]: Taking taylor expansion of y in y 8.522 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify 1 into 1 8.522 * [backup-simplify]: Simplify (/ 1 1) into 1 8.522 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.522 * [taylor]: Taking taylor expansion of x in y 8.522 * [backup-simplify]: Simplify x into x 8.522 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.522 * [taylor]: Taking taylor expansion of (* y x) in y 8.522 * [taylor]: Taking taylor expansion of y in y 8.522 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify 1 into 1 8.522 * [taylor]: Taking taylor expansion of x in y 8.522 * [backup-simplify]: Simplify x into x 8.522 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 8.522 * [taylor]: Taking taylor expansion of 0.5 in x 8.522 * [backup-simplify]: Simplify 0.5 into 0.5 8.522 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 8.522 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.522 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.522 * [taylor]: Taking taylor expansion of y in x 8.523 * [backup-simplify]: Simplify y into y 8.523 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.523 * [taylor]: Taking taylor expansion of x in x 8.523 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify 1 into 1 8.523 * [backup-simplify]: Simplify (/ 1 1) into 1 8.523 * [taylor]: Taking taylor expansion of (* y x) in x 8.523 * [taylor]: Taking taylor expansion of y in x 8.523 * [backup-simplify]: Simplify y into y 8.523 * [taylor]: Taking taylor expansion of x in x 8.523 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify 1 into 1 8.523 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 8.523 * [taylor]: Taking taylor expansion of 0.5 in x 8.523 * [backup-simplify]: Simplify 0.5 into 0.5 8.523 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 8.523 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.523 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.523 * [taylor]: Taking taylor expansion of y in x 8.524 * [backup-simplify]: Simplify y into y 8.524 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.524 * [taylor]: Taking taylor expansion of x in x 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 1 into 1 8.524 * [backup-simplify]: Simplify (/ 1 1) into 1 8.524 * [taylor]: Taking taylor expansion of (* y x) in x 8.524 * [taylor]: Taking taylor expansion of y in x 8.524 * [backup-simplify]: Simplify y into y 8.524 * [taylor]: Taking taylor expansion of x in x 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 1 into 1 8.525 * [backup-simplify]: Simplify (+ 0 1) into 1 8.525 * [backup-simplify]: Simplify (* y 0) into 0 8.525 * [backup-simplify]: Simplify (* 1 0) into 0 8.526 * [backup-simplify]: Simplify (* 0.5 0) into 0 8.526 * [taylor]: Taking taylor expansion of 0 in y 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify (+ (* y 1) (* 0 0)) into y 8.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.527 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.527 * [backup-simplify]: Simplify (+ (* 1 y) (* (/ 1 y) 0)) into y 8.528 * [backup-simplify]: Simplify (+ (* 0.5 y) (* 0 0)) into (* 0.5 y) 8.528 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 8.528 * [taylor]: Taking taylor expansion of 0.5 in y 8.528 * [backup-simplify]: Simplify 0.5 into 0.5 8.528 * [taylor]: Taking taylor expansion of y in y 8.528 * [backup-simplify]: Simplify 0 into 0 8.528 * [backup-simplify]: Simplify 1 into 1 8.528 * [backup-simplify]: Simplify 0 into 0 8.529 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 8.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.530 * [backup-simplify]: Simplify (+ 0 0) into 0 8.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) y) (* 0 0))) into 1 8.532 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 y) (* 0 0))) into 0.5 8.532 * [taylor]: Taking taylor expansion of 0.5 in y 8.532 * [backup-simplify]: Simplify 0.5 into 0.5 8.532 * [backup-simplify]: Simplify (* 0.5 0) into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.535 * [backup-simplify]: Simplify (+ 0 0) into 0 8.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 y) (* 0 0)))) into 0 8.537 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 8.537 * [taylor]: Taking taylor expansion of 0 in y 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 0.5 into 0.5 8.539 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 8.539 * [backup-simplify]: Simplify 0.5 into 0.5 8.539 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.541 * [backup-simplify]: Simplify (+ 0 0) into 0 8.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 8.544 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 8.544 * [taylor]: Taking taylor expansion of 0 in y 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 8.545 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.548 * [backup-simplify]: Simplify (+ 0 0) into 0 8.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))))) into 0 8.552 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 8.552 * [taylor]: Taking taylor expansion of 0 in y 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 y) 1)) (* 0.5 (* 1 (/ 1 x)))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 8.553 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 (- x)) (/ 1 (- y))) (* (/ 1 (- x)) 2.0)) (/ 1 (- y))) into (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) 8.553 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 8.553 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 8.553 * [taylor]: Taking taylor expansion of -0.5 in y 8.553 * [backup-simplify]: Simplify -0.5 into -0.5 8.553 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 8.553 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.553 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.553 * [taylor]: Taking taylor expansion of y in y 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 1 into 1 8.553 * [backup-simplify]: Simplify (/ 1 1) into 1 8.553 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.554 * [taylor]: Taking taylor expansion of x in y 8.554 * [backup-simplify]: Simplify x into x 8.554 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.554 * [taylor]: Taking taylor expansion of (* y x) in y 8.554 * [taylor]: Taking taylor expansion of y in y 8.554 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify 1 into 1 8.554 * [taylor]: Taking taylor expansion of x in y 8.554 * [backup-simplify]: Simplify x into x 8.554 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 8.554 * [taylor]: Taking taylor expansion of -0.5 in x 8.554 * [backup-simplify]: Simplify -0.5 into -0.5 8.554 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 8.554 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.554 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.554 * [taylor]: Taking taylor expansion of y in x 8.554 * [backup-simplify]: Simplify y into y 8.554 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.554 * [taylor]: Taking taylor expansion of x in x 8.554 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify (/ 1 1) into 1 8.555 * [taylor]: Taking taylor expansion of (* y x) in x 8.555 * [taylor]: Taking taylor expansion of y in x 8.555 * [backup-simplify]: Simplify y into y 8.555 * [taylor]: Taking taylor expansion of x in x 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.555 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 8.555 * [taylor]: Taking taylor expansion of -0.5 in x 8.555 * [backup-simplify]: Simplify -0.5 into -0.5 8.555 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 8.555 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.555 * [taylor]: Taking taylor expansion of y in x 8.555 * [backup-simplify]: Simplify y into y 8.555 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.555 * [taylor]: Taking taylor expansion of x in x 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.556 * [backup-simplify]: Simplify (/ 1 1) into 1 8.556 * [taylor]: Taking taylor expansion of (* y x) in x 8.556 * [taylor]: Taking taylor expansion of y in x 8.556 * [backup-simplify]: Simplify y into y 8.556 * [taylor]: Taking taylor expansion of x in x 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify 1 into 1 8.556 * [backup-simplify]: Simplify (+ 0 1) into 1 8.556 * [backup-simplify]: Simplify (* y 0) into 0 8.557 * [backup-simplify]: Simplify (* 1 0) into 0 8.557 * [backup-simplify]: Simplify (* -0.5 0) into 0 8.557 * [taylor]: Taking taylor expansion of 0 in y 8.557 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify (+ (* y 1) (* 0 0)) into y 8.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.559 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.559 * [backup-simplify]: Simplify (+ (* 1 y) (* (/ 1 y) 0)) into y 8.559 * [backup-simplify]: Simplify (+ (* -0.5 y) (* 0 0)) into (- (* 0.5 y)) 8.559 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 8.559 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 8.559 * [taylor]: Taking taylor expansion of 0.5 in y 8.559 * [backup-simplify]: Simplify 0.5 into 0.5 8.559 * [taylor]: Taking taylor expansion of y in y 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 1 into 1 8.559 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 8.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.561 * [backup-simplify]: Simplify (+ 0 0) into 0 8.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) y) (* 0 0))) into 1 8.563 * [backup-simplify]: Simplify (+ (* -0.5 1) (+ (* 0 y) (* 0 0))) into (- 0.5) 8.563 * [taylor]: Taking taylor expansion of (- 0.5) in y 8.563 * [taylor]: Taking taylor expansion of 0.5 in y 8.563 * [backup-simplify]: Simplify 0.5 into 0.5 8.564 * [backup-simplify]: Simplify (* 0.5 0) into 0 8.564 * [backup-simplify]: Simplify (- 0) into 0 8.564 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.566 * [backup-simplify]: Simplify (+ 0 0) into 0 8.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 y) (* 0 0)))) into 0 8.569 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 8.569 * [taylor]: Taking taylor expansion of 0 in y 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.569 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.571 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 8.571 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.572 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.572 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.574 * [backup-simplify]: Simplify (+ 0 0) into 0 8.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 8.577 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 8.577 * [taylor]: Taking taylor expansion of 0 in y 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify (- 0) into 0 8.578 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 8.579 * [backup-simplify]: Simplify (- 0) into 0 8.579 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify 0 into 0 8.580 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.587 * [backup-simplify]: Simplify (+ 0 0) into 0 8.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))))) into 0 8.590 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 8.591 * [taylor]: Taking taylor expansion of 0 in y 8.591 * [backup-simplify]: Simplify 0 into 0 8.591 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- y)) 1)) (* (- 0.5) (* 1 (/ 1 (- x))))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 8.592 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 8.592 * [backup-simplify]: Simplify (/ (+ x y) (* x 2.0)) into (* 0.5 (/ (+ x y) x)) 8.592 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 8.592 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 8.592 * [taylor]: Taking taylor expansion of 0.5 in y 8.592 * [backup-simplify]: Simplify 0.5 into 0.5 8.592 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 8.592 * [taylor]: Taking taylor expansion of (+ x y) in y 8.592 * [taylor]: Taking taylor expansion of x in y 8.592 * [backup-simplify]: Simplify x into x 8.592 * [taylor]: Taking taylor expansion of y in y 8.592 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify 1 into 1 8.592 * [taylor]: Taking taylor expansion of x in y 8.592 * [backup-simplify]: Simplify x into x 8.592 * [backup-simplify]: Simplify (+ x 0) into x 8.592 * [backup-simplify]: Simplify (/ x x) into 1 8.592 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 8.592 * [taylor]: Taking taylor expansion of 0.5 in x 8.592 * [backup-simplify]: Simplify 0.5 into 0.5 8.593 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 8.593 * [taylor]: Taking taylor expansion of (+ x y) in x 8.593 * [taylor]: Taking taylor expansion of x in x 8.593 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify 1 into 1 8.593 * [taylor]: Taking taylor expansion of y in x 8.593 * [backup-simplify]: Simplify y into y 8.593 * [taylor]: Taking taylor expansion of x in x 8.593 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify 1 into 1 8.593 * [backup-simplify]: Simplify (+ 0 y) into y 8.593 * [backup-simplify]: Simplify (/ y 1) into y 8.593 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 8.593 * [taylor]: Taking taylor expansion of 0.5 in x 8.593 * [backup-simplify]: Simplify 0.5 into 0.5 8.593 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 8.593 * [taylor]: Taking taylor expansion of (+ x y) in x 8.593 * [taylor]: Taking taylor expansion of x in x 8.593 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify 1 into 1 8.593 * [taylor]: Taking taylor expansion of y in x 8.593 * [backup-simplify]: Simplify y into y 8.593 * [taylor]: Taking taylor expansion of x in x 8.593 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify 1 into 1 8.593 * [backup-simplify]: Simplify (+ 0 y) into y 8.593 * [backup-simplify]: Simplify (/ y 1) into y 8.593 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 8.594 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 8.594 * [taylor]: Taking taylor expansion of 0.5 in y 8.594 * [backup-simplify]: Simplify 0.5 into 0.5 8.594 * [taylor]: Taking taylor expansion of y in y 8.594 * [backup-simplify]: Simplify 0 into 0 8.594 * [backup-simplify]: Simplify 1 into 1 8.594 * [backup-simplify]: Simplify (* 0.5 0) into 0 8.594 * [backup-simplify]: Simplify 0 into 0 8.595 * [backup-simplify]: Simplify (+ 1 0) into 1 8.596 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* y (/ 0 1)))) into 1 8.596 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 y)) into 0.5 8.596 * [taylor]: Taking taylor expansion of 0.5 in y 8.596 * [backup-simplify]: Simplify 0.5 into 0.5 8.596 * [backup-simplify]: Simplify 0.5 into 0.5 8.597 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 8.598 * [backup-simplify]: Simplify 0.5 into 0.5 8.598 * [backup-simplify]: Simplify (+ 0 0) into 0 8.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.600 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 y))) into 0 8.600 * [taylor]: Taking taylor expansion of 0 in y 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 8.601 * [backup-simplify]: Simplify 0 into 0 8.602 * [backup-simplify]: Simplify (+ 0 0) into 0 8.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.605 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 8.605 * [taylor]: Taking taylor expansion of 0 in y 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify (+ (* 0.5 (* y (/ 1 x))) 0.5) into (+ (* 0.5 (/ y x)) 0.5) 8.605 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (* (/ 1 x) 2.0)) into (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) 8.605 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 8.605 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 8.605 * [taylor]: Taking taylor expansion of 0.5 in y 8.605 * [backup-simplify]: Simplify 0.5 into 0.5 8.605 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.605 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.605 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.605 * [taylor]: Taking taylor expansion of y in y 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [backup-simplify]: Simplify (/ 1 1) into 1 8.606 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.606 * [taylor]: Taking taylor expansion of x in y 8.606 * [backup-simplify]: Simplify x into x 8.606 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.606 * [taylor]: Taking taylor expansion of x in y 8.606 * [backup-simplify]: Simplify x into x 8.606 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.606 * [taylor]: Taking taylor expansion of 0.5 in x 8.606 * [backup-simplify]: Simplify 0.5 into 0.5 8.606 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.606 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.606 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.606 * [taylor]: Taking taylor expansion of y in x 8.606 * [backup-simplify]: Simplify y into y 8.606 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.607 * [taylor]: Taking taylor expansion of x in x 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify 1 into 1 8.607 * [backup-simplify]: Simplify (/ 1 1) into 1 8.607 * [taylor]: Taking taylor expansion of x in x 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify 1 into 1 8.607 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.607 * [taylor]: Taking taylor expansion of 0.5 in x 8.607 * [backup-simplify]: Simplify 0.5 into 0.5 8.607 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.607 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.607 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.607 * [taylor]: Taking taylor expansion of y in x 8.607 * [backup-simplify]: Simplify y into y 8.607 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.607 * [taylor]: Taking taylor expansion of x in x 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify 1 into 1 8.608 * [backup-simplify]: Simplify (/ 1 1) into 1 8.608 * [taylor]: Taking taylor expansion of x in x 8.608 * [backup-simplify]: Simplify 0 into 0 8.608 * [backup-simplify]: Simplify 1 into 1 8.608 * [backup-simplify]: Simplify (+ 0 1) into 1 8.609 * [backup-simplify]: Simplify (* 1 0) into 0 8.609 * [backup-simplify]: Simplify (* 0.5 0) into 0 8.609 * [taylor]: Taking taylor expansion of 0 in y 8.609 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.610 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.611 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.612 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 8.612 * [taylor]: Taking taylor expansion of 0.5 in y 8.612 * [backup-simplify]: Simplify 0.5 into 0.5 8.612 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.613 * [backup-simplify]: Simplify (+ 0 0) into 0 8.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 8.615 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (+ (* 0 1) (* 0 0))) into (* 0.5 (/ 1 y)) 8.615 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 8.615 * [taylor]: Taking taylor expansion of 0.5 in y 8.615 * [backup-simplify]: Simplify 0.5 into 0.5 8.615 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.615 * [taylor]: Taking taylor expansion of y in y 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify 1 into 1 8.616 * [backup-simplify]: Simplify (/ 1 1) into 1 8.616 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.616 * [backup-simplify]: Simplify 0.5 into 0.5 8.616 * [backup-simplify]: Simplify 0.5 into 0.5 8.616 * [backup-simplify]: Simplify 0 into 0 8.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.618 * [backup-simplify]: Simplify (+ 0 0) into 0 8.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 8.620 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0)))) into 0 8.620 * [taylor]: Taking taylor expansion of 0 in y 8.620 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.621 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.623 * [backup-simplify]: Simplify (+ 0 0) into 0 8.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.626 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0))))) into 0 8.626 * [taylor]: Taking taylor expansion of 0 in y 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.628 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify (+ 0.5 (* 0.5 (* (/ 1 (/ 1 y)) (/ 1 x)))) into (+ (* 0.5 (/ y x)) 0.5) 8.628 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (* (/ 1 (- x)) 2.0)) into (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) 8.628 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 8.629 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 8.629 * [taylor]: Taking taylor expansion of 0.5 in y 8.629 * [backup-simplify]: Simplify 0.5 into 0.5 8.629 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.629 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.629 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.629 * [taylor]: Taking taylor expansion of y in y 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 1 into 1 8.629 * [backup-simplify]: Simplify (/ 1 1) into 1 8.629 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.629 * [taylor]: Taking taylor expansion of x in y 8.629 * [backup-simplify]: Simplify x into x 8.629 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.629 * [taylor]: Taking taylor expansion of x in y 8.629 * [backup-simplify]: Simplify x into x 8.629 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.629 * [taylor]: Taking taylor expansion of 0.5 in x 8.629 * [backup-simplify]: Simplify 0.5 into 0.5 8.629 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.630 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.630 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.630 * [taylor]: Taking taylor expansion of y in x 8.630 * [backup-simplify]: Simplify y into y 8.630 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.630 * [taylor]: Taking taylor expansion of x in x 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 1 into 1 8.630 * [backup-simplify]: Simplify (/ 1 1) into 1 8.630 * [taylor]: Taking taylor expansion of x in x 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 1 into 1 8.630 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.630 * [taylor]: Taking taylor expansion of 0.5 in x 8.630 * [backup-simplify]: Simplify 0.5 into 0.5 8.630 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.630 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.630 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.630 * [taylor]: Taking taylor expansion of y in x 8.630 * [backup-simplify]: Simplify y into y 8.631 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.631 * [taylor]: Taking taylor expansion of x in x 8.631 * [backup-simplify]: Simplify 0 into 0 8.631 * [backup-simplify]: Simplify 1 into 1 8.631 * [backup-simplify]: Simplify (/ 1 1) into 1 8.631 * [taylor]: Taking taylor expansion of x in x 8.631 * [backup-simplify]: Simplify 0 into 0 8.631 * [backup-simplify]: Simplify 1 into 1 8.632 * [backup-simplify]: Simplify (+ 0 1) into 1 8.632 * [backup-simplify]: Simplify (* 1 0) into 0 8.632 * [backup-simplify]: Simplify (* 0.5 0) into 0 8.632 * [taylor]: Taking taylor expansion of 0 in y 8.632 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.633 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.634 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.635 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 8.635 * [taylor]: Taking taylor expansion of 0.5 in y 8.635 * [backup-simplify]: Simplify 0.5 into 0.5 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.637 * [backup-simplify]: Simplify (+ 0 0) into 0 8.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 8.638 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (+ (* 0 1) (* 0 0))) into (* 0.5 (/ 1 y)) 8.638 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 8.638 * [taylor]: Taking taylor expansion of 0.5 in y 8.638 * [backup-simplify]: Simplify 0.5 into 0.5 8.638 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.638 * [taylor]: Taking taylor expansion of y in y 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify 1 into 1 8.639 * [backup-simplify]: Simplify (/ 1 1) into 1 8.639 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.639 * [backup-simplify]: Simplify 0.5 into 0.5 8.640 * [backup-simplify]: Simplify 0.5 into 0.5 8.640 * [backup-simplify]: Simplify 0 into 0 8.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.641 * [backup-simplify]: Simplify (+ 0 0) into 0 8.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 8.643 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0)))) into 0 8.643 * [taylor]: Taking taylor expansion of 0 in y 8.643 * [backup-simplify]: Simplify 0 into 0 8.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.645 * [backup-simplify]: Simplify 0 into 0 8.645 * [backup-simplify]: Simplify 0 into 0 8.645 * [backup-simplify]: Simplify 0 into 0 8.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.646 * [backup-simplify]: Simplify (+ 0 0) into 0 8.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.649 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0))))) into 0 8.649 * [taylor]: Taking taylor expansion of 0 in y 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 0 into 0 8.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.651 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.651 * [backup-simplify]: Simplify 0 into 0 8.651 * [backup-simplify]: Simplify (+ 0.5 (* 0.5 (* (/ 1 (/ 1 (- y))) (/ 1 (- x))))) into (+ (* 0.5 (/ y x)) 0.5) 8.651 * * * [progress]: simplifying candidates 8.654 * [simplify]: Simplifying: (expm1 (/ (/ (+ x y) (* x 2.0)) y)) (log1p (/ (/ (+ x y) (* x 2.0)) y)) (- (- (log (+ x y)) (+ (log x) (log 2.0))) (log y)) (- (- (log (+ x y)) (log (* x 2.0))) (log y)) (- (log (/ (+ x y) (* x 2.0))) (log y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (exp (/ (/ (+ x y) (* x 2.0)) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* y y) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* y y) y)) (/ (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (* (* y y) y)) (* (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (cbrt (/ (/ (+ x y) (* x 2.0)) y))) (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (* (* (/ (/ (+ x y) (* x 2.0)) y) (/ (/ (+ x y) (* x 2.0)) y)) (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) 1) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) 1) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 1) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (/ (sqrt (+ x y)) x) 1) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ 1 1) (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ (+ x y) 1) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (/ (+ x y) (* x 2.0)) 1) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (/ y (/ 1 (* x 2.0))) (* y (* x 2.0)) (expm1 (/ (+ x y) (* x 2.0))) (log1p (/ (+ x y) (* x 2.0))) (- (log (+ x y)) (+ (log x) (log 2.0))) (- (log (+ x y)) (log (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (* x 2.0) (+ (* x x) (- (* y y) (* x y)))) (* (* x 2.0) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) 8.657 * * [simplify]: Extracting # 0 : cost 0 8.658 * * [simplify]: Extracting # 1 : cost 0 8.658 * * [simplify]: Extracting # 2 : cost 0 8.658 * * [simplify]: Extracting # 3 : cost 0 8.659 * * [simplify]: Extracting # 4 : cost 0 8.659 * * [simplify]: Extracting # 5 : cost 0 8.659 * * [simplify]: Extracting # 6 : cost 0 8.660 * * [simplify]: iteration 0 : 138 enodes (cost 1163 ) 8.697 * * [simplify]: Extracting # 0 : cost 0 8.698 * * [simplify]: Extracting # 1 : cost 0 8.698 * * [simplify]: Extracting # 2 : cost 0 8.699 * * [simplify]: Extracting # 3 : cost 0 8.699 * * [simplify]: iteration 1 : 339 enodes (cost 1124 ) 8.936 * * [simplify]: Extracting # 0 : cost 0 8.940 * * [simplify]: Extracting # 1 : cost 0 8.942 * * [simplify]: Extracting # 2 : cost 0 8.944 * * [simplify]: Extracting # 3 : cost 0 8.947 * * [simplify]: Extracting # 4 : cost 0 8.949 * * [simplify]: iteration 2 : 1078 enodes (cost 1002 ) 11.229 * * [simplify]: Extracting # 0 : cost 0 11.235 * * [simplify]: Extracting # 1 : cost 0 11.240 * * [simplify]: Extracting # 2 : cost 0 11.245 * * [simplify]: Extracting # 3 : cost 0 11.253 * * [simplify]: iteration 3 : 4608 enodes (cost 1002 ) 12.707 * * [simplify]: Extracting # 0 : cost 0 12.716 * * [simplify]: Extracting # 1 : cost 0 12.721 * * [simplify]: Extracting # 2 : cost 0 12.726 * * [simplify]: iteration done: 5000 enodes (cost 1002 ) 12.727 * [simplify]: Simplified to: (expm1 (/ (/ (+ x y) (* x 2.0)) y)) (log1p (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (exp (/ (/ (+ x y) (* x 2.0)) y)) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (* (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (cbrt (/ (/ (+ x y) (* x 2.0)) y))) (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (sqrt (/ (+ x y) (* x 2.0))) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (sqrt (+ x y)) x) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) 1 (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (+ x y) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (+ x y) (* x 2.0)) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (* (* 2.0 x) y) (* (* 2.0 x) y) (expm1 (/ (+ x y) (* x 2.0))) (log1p (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (pow (/ (+ x y) (* x 2.0)) 3) (pow (/ (+ x y) (* x 2.0)) 3) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (pow (/ (+ x y) (* x 2.0)) 3) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (* x 2.0) (fma x x (* y (- y x)))) (* (* x 2.0) (- x y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) 12.728 * * * [progress]: adding candidates to table 12.956 * [progress]: [Phase 3 of 3] Extracting. 12.957 * * [regime]: Finding splitpoints for: (# #) 12.957 * * * [regime-changes]: Trying 0 branch expressions: ()