21.495 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying: (+ (+ (* x 2.0) (* x x)) (* y y)) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: Extracting # 1 : cost 0 0.030 * * [simplify]: Extracting # 2 : cost 0 0.030 * * [simplify]: Extracting # 3 : cost 0 0.030 * * [simplify]: Extracting # 4 : cost 0 0.030 * * [simplify]: Extracting # 5 : cost 0 0.030 * * [simplify]: iteration 0 : 8 enodes (cost 11 ) 0.032 * * [simplify]: Extracting # 0 : cost 0 0.032 * * [simplify]: Extracting # 1 : cost 0 0.032 * * [simplify]: Extracting # 2 : cost 0 0.032 * * [simplify]: Extracting # 3 : cost 0 0.032 * * [simplify]: iteration 1 : 15 enodes (cost 9 ) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: iteration 2 : 24 enodes (cost 9 ) 0.039 * * [simplify]: Extracting # 0 : cost 0 0.039 * * [simplify]: iteration 3 : 26 enodes (cost 9 ) 0.043 * * [simplify]: Extracting # 0 : cost 0 0.043 * * [simplify]: iteration done: 26 enodes (cost 9 ) 0.043 * [simplify]: Simplified to: (+ (* y y) (* x (+ 2.0 x))) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.087 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.098 * * * [progress]: generating series expansions 0.098 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.098 * [backup-simplify]: Simplify (* x (+ 2.0 x)) into (* (+ x 2.0) x) 0.098 * [approximate]: Taking taylor expansion of (* (+ x 2.0) x) in (x) around 0 0.098 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.098 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of 2.0 in x 0.098 * [backup-simplify]: Simplify 2.0 into 2.0 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.099 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of 2.0 in x 0.099 * [backup-simplify]: Simplify 2.0 into 2.0 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.100 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 1 0)) into 2.0 0.102 * [backup-simplify]: Simplify 2.0 into 2.0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 1) (* 0 0))) into 1 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 0.119 * [backup-simplify]: Simplify (* (/ 1 x) (+ 2.0 (/ 1 x))) into (/ (+ (/ 1 x) 2.0) x) 0.119 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in (x) around 0 0.119 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of 2.0 in x 0.120 * [backup-simplify]: Simplify 2.0 into 2.0 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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [taylor]: Taking taylor expansion of 2.0 in x 0.121 * [backup-simplify]: Simplify 2.0 into 2.0 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 0.122 * [backup-simplify]: Simplify (+ 1 0) into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.126 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 0.126 * [backup-simplify]: Simplify 2.0 into 2.0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) (* 2.0 x)) 0.142 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ 2.0 (/ 1 (- x)))) into (* -1 (/ (- 2.0 (/ 1 x)) x)) 0.142 * [approximate]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in (x) around 0 0.142 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.142 * [taylor]: Taking taylor expansion of -1 in x 0.142 * [backup-simplify]: Simplify -1 into -1 0.142 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.142 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of 2.0 in x 0.142 * [backup-simplify]: Simplify 2.0 into 2.0 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (- 1) into -1 0.143 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.144 * [backup-simplify]: Simplify (/ -1 1) into -1 0.144 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.144 * [taylor]: Taking taylor expansion of -1 in x 0.144 * [backup-simplify]: Simplify -1 into -1 0.144 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.144 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.144 * [taylor]: Taking taylor expansion of 2.0 in x 0.144 * [backup-simplify]: Simplify 2.0 into 2.0 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (- 1) into -1 0.145 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.145 * [backup-simplify]: Simplify (/ -1 1) into -1 0.146 * [backup-simplify]: Simplify (* -1 -1) into 1 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.149 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* -1 (/ 0 1)))) into 2.0 0.151 * [backup-simplify]: Simplify (+ (* -1 2.0) (* 0 -1)) into (- 2.0) 0.151 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 2.0) (* 0 -1))) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1))))) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))))) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1))))))) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))))))) into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* (- 2.0) (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) (* 2.0 x)) 0.180 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.181 * [backup-simplify]: Simplify (+ (* y y) (* x (+ 2.0 x))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.181 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (y x) around 0 0.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.181 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.181 * [taylor]: Taking taylor expansion of 2.0 in x 0.181 * [backup-simplify]: Simplify 2.0 into 2.0 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [backup-simplify]: Simplify y into y 0.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [backup-simplify]: Simplify x into x 0.181 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.181 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.181 * [taylor]: Taking taylor expansion of 2.0 in y 0.181 * [backup-simplify]: Simplify 2.0 into 2.0 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [backup-simplify]: Simplify x into x 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.182 * [backup-simplify]: Simplify x into x 0.182 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.182 * [taylor]: Taking taylor expansion of 2.0 in y 0.182 * [backup-simplify]: Simplify 2.0 into 2.0 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [backup-simplify]: Simplify x into x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.182 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.182 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.182 * [backup-simplify]: Simplify (+ (pow x 2) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 0.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.182 * [taylor]: Taking taylor expansion of 2.0 in x 0.183 * [backup-simplify]: Simplify 2.0 into 2.0 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.184 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.187 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.187 * [backup-simplify]: Simplify 2.0 into 2.0 0.187 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.189 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify (+ 0 1) into 1 0.189 * [backup-simplify]: Simplify (+ 0 1) into 1 0.189 * [taylor]: Taking taylor expansion of 1 in x 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (* 1 1) into 1 0.191 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.191 * [backup-simplify]: Simplify (+ 1 0) into 1 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 1 (pow (* 1 y) 2)) (* 2.0 (* x 1)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.192 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (+ 2.0 (/ 1 x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 0.192 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (y x) around 0 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (* 1 1) into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [backup-simplify]: Simplify y into y 0.193 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.194 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.194 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.194 * [taylor]: Taking taylor expansion of 2.0 in x 0.194 * [backup-simplify]: Simplify 2.0 into 2.0 0.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.194 * [taylor]: Taking taylor expansion of x in y 0.194 * [backup-simplify]: Simplify x into x 0.194 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.195 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (* 1 1) into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.196 * [taylor]: Taking taylor expansion of 2.0 in y 0.196 * [backup-simplify]: Simplify 2.0 into 2.0 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [backup-simplify]: Simplify x into x 0.196 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [backup-simplify]: Simplify x into x 0.196 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.196 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.197 * [taylor]: Taking taylor expansion of 2.0 in y 0.197 * [backup-simplify]: Simplify 2.0 into 2.0 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [backup-simplify]: Simplify x into x 0.197 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.198 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [backup-simplify]: Simplify (+ 0 1) into 1 0.198 * [taylor]: Taking taylor expansion of 1 in x 0.198 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [taylor]: Taking taylor expansion of 0 in x 0.200 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.207 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.207 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of 2.0 in x 0.209 * [backup-simplify]: Simplify 2.0 into 2.0 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (+ 1 0) into 1 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.213 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [taylor]: Taking taylor expansion of 0 in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.216 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.216 * [backup-simplify]: Simplify 2.0 into 2.0 0.217 * [backup-simplify]: Simplify (+ (* 2.0 (* (/ 1 (/ 1 x)) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.217 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (+ 2.0 (/ 1 (- x))))) into (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) 0.217 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (y x) around 0 0.217 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [backup-simplify]: Simplify y into y 0.218 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.218 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.219 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of 2.0 in x 0.219 * [backup-simplify]: Simplify 2.0 into 2.0 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.219 * [taylor]: Taking taylor expansion of x in y 0.219 * [backup-simplify]: Simplify x into x 0.219 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.219 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (* 1 1) into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.220 * [taylor]: Taking taylor expansion of 2.0 in y 0.220 * [backup-simplify]: Simplify 2.0 into 2.0 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [backup-simplify]: Simplify x into x 0.221 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.221 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [backup-simplify]: Simplify x into x 0.221 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.221 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (* 1 1) into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.222 * [taylor]: Taking taylor expansion of 2.0 in y 0.222 * [backup-simplify]: Simplify 2.0 into 2.0 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [backup-simplify]: Simplify x into x 0.222 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.223 * [backup-simplify]: Simplify (+ 0 1) into 1 0.223 * [backup-simplify]: Simplify (+ 1 0) into 1 0.223 * [taylor]: Taking taylor expansion of 1 in x 0.223 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [taylor]: Taking taylor expansion of 0 in x 0.225 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.228 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.228 * [backup-simplify]: Simplify (- (/ 2.0 x)) into (- (* 2.0 (/ 1 x))) 0.228 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (- (* 2.0 (/ 1 x)))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.228 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of 2.0 in x 0.229 * [backup-simplify]: Simplify 2.0 into 2.0 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.234 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [taylor]: Taking taylor expansion of 0 in x 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.237 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.238 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 0.238 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.240 * [backup-simplify]: Simplify (+ (* (- 2.0) (* (/ 1 (/ 1 (- x))) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.240 * * * [progress]: simplifying candidates 0.241 * [simplify]: Simplifying: (* x (+ 2.0 x)) (+ (log x) (log (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (* (* (* x x) x) (* (* (+ 2.0 x) (+ 2.0 x)) (+ 2.0 x))) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (* (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* x 2.0) (* x x) (* 2.0 x) (* x x) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) (* x 1) (* x 1) (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ (pow 2.0 3) (pow x 3))) (* x (- (* 2.0 2.0) (* x x))) (* (exp (* y y)) (exp (* x (+ 2.0 x)))) (log (+ (* y y) (* x (+ 2.0 x)))) (exp (+ (* y y) (* x (+ 2.0 x)))) (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))) (cbrt (+ (* y y) (* x (+ 2.0 x)))) (* (* (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x)))) (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))) (+ (pow (* y y) 3) (pow (* x (+ 2.0 x)) 3)) (+ (* (* y y) (* y y)) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (* (* y y) (* x (+ 2.0 x))))) (- (* (* y y) (* y y)) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x 2.0)) (+ (* y y) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.242 * * [simplify]: Extracting # 0 : cost 0 0.242 * * [simplify]: Extracting # 1 : cost 0 0.243 * * [simplify]: Extracting # 2 : cost 0 0.243 * * [simplify]: Extracting # 3 : cost 0 0.243 * * [simplify]: Extracting # 4 : cost 0 0.243 * * [simplify]: Extracting # 5 : cost 0 0.243 * * [simplify]: iteration 0 : 70 enodes (cost 422 ) 0.281 * * [simplify]: Extracting # 0 : cost 0 0.281 * * [simplify]: Extracting # 1 : cost 0 0.282 * * [simplify]: Extracting # 2 : cost 0 0.282 * * [simplify]: Extracting # 3 : cost 0 0.282 * * [simplify]: Extracting # 4 : cost 0 0.283 * * [simplify]: iteration 1 : 201 enodes (cost 386 ) 0.418 * * [simplify]: Extracting # 0 : cost 0 0.419 * * [simplify]: Extracting # 1 : cost 0 0.419 * * [simplify]: Extracting # 2 : cost 0 0.420 * * [simplify]: Extracting # 3 : cost 0 0.421 * * [simplify]: Extracting # 4 : cost 0 0.421 * * [simplify]: iteration 2 : 695 enodes (cost 350 ) 1.294 * * [simplify]: Extracting # 0 : cost 0 1.310 * * [simplify]: Extracting # 1 : cost 0 1.315 * * [simplify]: Extracting # 2 : cost 0 1.321 * * [simplify]: Extracting # 3 : cost 0 1.326 * * [simplify]: Extracting # 4 : cost 0 1.332 * * [simplify]: iteration 3 : 3333 enodes (cost 350 ) 2.533 * * [simplify]: Extracting # 0 : cost 0 2.540 * * [simplify]: Extracting # 1 : cost 0 2.549 * * [simplify]: Extracting # 2 : cost 0 2.562 * * [simplify]: Extracting # 3 : cost 0 2.567 * * [simplify]: Extracting # 4 : cost 0 2.572 * * [simplify]: iteration done: 5002 enodes (cost 350 ) 2.572 * [simplify]: Simplified to: (* x (+ 2.0 x)) (log (* x (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* x 2.0) (* x x) (* x 2.0) (* x x) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) x x (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ (pow 2.0 3) (pow x 3))) (* x (- (* 2.0 2.0) (* x x))) (exp (+ (* y y) (* x (+ 2.0 x)))) (log (+ (* y y) (* x (+ 2.0 x)))) (exp (+ (* y y) (* x (+ 2.0 x)))) (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))) (cbrt (+ (* y y) (* x (+ 2.0 x)))) (pow (+ (* y y) (* x (+ 2.0 x))) 3) (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))) (+ (pow y 6) (pow (* x (+ 2.0 x)) 3)) (+ (pow y 4) (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (* y y)))) (- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x))) 2.572 * * * [progress]: adding candidates to table 2.652 * * [progress]: iteration 2 / 4 2.652 * * * [progress]: picking best candidate 2.653 * * * * [pick]: Picked # 2.653 * * * [progress]: localizing error 2.662 * * * [progress]: generating rewritten candidates 2.662 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.724 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.736 * * * [progress]: generating series expansions 2.736 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.736 * [backup-simplify]: Simplify (+ (+ (* 2.0 x) (pow y 2)) (* x x)) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 2.736 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (x y) around 0 2.736 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 2.736 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.736 * [taylor]: Taking taylor expansion of x in y 2.736 * [backup-simplify]: Simplify x into x 2.736 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 2.737 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 2.737 * [taylor]: Taking taylor expansion of 2.0 in y 2.737 * [backup-simplify]: Simplify 2.0 into 2.0 2.737 * [taylor]: Taking taylor expansion of x in y 2.737 * [backup-simplify]: Simplify x into x 2.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.737 * [taylor]: Taking taylor expansion of y in y 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 2.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.737 * [taylor]: Taking taylor expansion of x in x 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 2.737 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 2.737 * [taylor]: Taking taylor expansion of 2.0 in x 2.737 * [backup-simplify]: Simplify 2.0 into 2.0 2.737 * [taylor]: Taking taylor expansion of x in x 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.737 * [taylor]: Taking taylor expansion of y in x 2.737 * [backup-simplify]: Simplify y into y 2.737 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 2.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.737 * [taylor]: Taking taylor expansion of x in x 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 2.737 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 2.737 * [taylor]: Taking taylor expansion of 2.0 in x 2.737 * [backup-simplify]: Simplify 2.0 into 2.0 2.737 * [taylor]: Taking taylor expansion of x in x 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.737 * [taylor]: Taking taylor expansion of y in x 2.737 * [backup-simplify]: Simplify y into y 2.738 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.738 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.738 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.738 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.738 * [taylor]: Taking taylor expansion of y in y 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 2.739 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.739 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 2.740 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 2.740 * [taylor]: Taking taylor expansion of 2.0 in y 2.740 * [backup-simplify]: Simplify 2.0 into 2.0 2.740 * [backup-simplify]: Simplify 2.0 into 2.0 2.740 * [backup-simplify]: Simplify (* 1 1) into 1 2.740 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 2.741 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.741 * [backup-simplify]: Simplify (+ 0 0) into 0 2.741 * [backup-simplify]: Simplify (+ 1 0) into 1 2.741 * [taylor]: Taking taylor expansion of 1 in y 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify (* 1 1) into 1 2.741 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 1 (pow (* 1 x) 2)) (* 2.0 (* 1 x)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 2.742 * [backup-simplify]: Simplify (+ (+ (* 2.0 (/ 1 x)) (pow (/ 1 y) 2)) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 2.742 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (x y) around 0 2.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 2.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.742 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.742 * [taylor]: Taking taylor expansion of x in y 2.742 * [backup-simplify]: Simplify x into x 2.742 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.742 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 2.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.742 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.742 * [taylor]: Taking taylor expansion of y in y 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (* 1 1) into 1 2.743 * [backup-simplify]: Simplify (/ 1 1) into 1 2.743 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 2.743 * [taylor]: Taking taylor expansion of 2.0 in y 2.743 * [backup-simplify]: Simplify 2.0 into 2.0 2.743 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.743 * [taylor]: Taking taylor expansion of x in y 2.743 * [backup-simplify]: Simplify x into x 2.743 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 2.743 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.743 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.743 * [taylor]: Taking taylor expansion of x in x 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (* 1 1) into 1 2.744 * [backup-simplify]: Simplify (/ 1 1) into 1 2.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.744 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.744 * [taylor]: Taking taylor expansion of y in x 2.744 * [backup-simplify]: Simplify y into y 2.744 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.744 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.744 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.744 * [taylor]: Taking taylor expansion of 2.0 in x 2.744 * [backup-simplify]: Simplify 2.0 into 2.0 2.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (/ 1 1) into 1 2.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 2.745 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.745 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.745 * [taylor]: Taking taylor expansion of x in x 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (* 1 1) into 1 2.746 * [backup-simplify]: Simplify (/ 1 1) into 1 2.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 2.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.746 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.746 * [taylor]: Taking taylor expansion of y in x 2.746 * [backup-simplify]: Simplify y into y 2.746 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.746 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.746 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.746 * [taylor]: Taking taylor expansion of 2.0 in x 2.746 * [backup-simplify]: Simplify 2.0 into 2.0 2.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.746 * [taylor]: Taking taylor expansion of x in x 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (/ 1 1) into 1 2.747 * [backup-simplify]: Simplify (+ 1 0) into 1 2.747 * [taylor]: Taking taylor expansion of 1 in y 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.749 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 2.749 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 2.749 * [taylor]: Taking taylor expansion of 2.0 in y 2.749 * [backup-simplify]: Simplify 2.0 into 2.0 2.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 2.751 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.751 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.751 * [taylor]: Taking taylor expansion of y in y 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (* 1 1) into 1 2.752 * [backup-simplify]: Simplify (/ 1 1) into 1 2.752 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify 1 into 1 2.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.753 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.755 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 2.755 * [backup-simplify]: Simplify (+ 0 0) into 0 2.756 * [backup-simplify]: Simplify (+ 0 0) into 0 2.756 * [taylor]: Taking taylor expansion of 0 in y 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify 2.0 into 2.0 2.758 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 x)))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 2.758 * [backup-simplify]: Simplify (+ (+ (* 2.0 (/ 1 (- x))) (pow (/ 1 (- y)) 2)) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) 2.758 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (x y) around 0 2.758 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 2.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.758 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.758 * [taylor]: Taking taylor expansion of x in y 2.758 * [backup-simplify]: Simplify x into x 2.758 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.759 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.759 * [taylor]: Taking taylor expansion of y in y 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 1 into 1 2.759 * [backup-simplify]: Simplify (* 1 1) into 1 2.762 * [backup-simplify]: Simplify (/ 1 1) into 1 2.763 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 2.763 * [taylor]: Taking taylor expansion of 2.0 in y 2.763 * [backup-simplify]: Simplify 2.0 into 2.0 2.763 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.763 * [taylor]: Taking taylor expansion of x in y 2.763 * [backup-simplify]: Simplify x into x 2.763 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.763 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 2.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.763 * [taylor]: Taking taylor expansion of x in x 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify 1 into 1 2.764 * [backup-simplify]: Simplify (* 1 1) into 1 2.764 * [backup-simplify]: Simplify (/ 1 1) into 1 2.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.764 * [taylor]: Taking taylor expansion of y in x 2.764 * [backup-simplify]: Simplify y into y 2.764 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.764 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.764 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.764 * [taylor]: Taking taylor expansion of 2.0 in x 2.764 * [backup-simplify]: Simplify 2.0 into 2.0 2.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.765 * [taylor]: Taking taylor expansion of x in x 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.765 * [backup-simplify]: Simplify (/ 1 1) into 1 2.765 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 2.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.765 * [taylor]: Taking taylor expansion of x in x 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.765 * [backup-simplify]: Simplify (* 1 1) into 1 2.766 * [backup-simplify]: Simplify (/ 1 1) into 1 2.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.766 * [taylor]: Taking taylor expansion of y in x 2.766 * [backup-simplify]: Simplify y into y 2.766 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.766 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.766 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.766 * [taylor]: Taking taylor expansion of 2.0 in x 2.766 * [backup-simplify]: Simplify 2.0 into 2.0 2.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.766 * [taylor]: Taking taylor expansion of x in x 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (/ 1 1) into 1 2.767 * [backup-simplify]: Simplify (+ 1 0) into 1 2.767 * [backup-simplify]: Simplify (+ 1 0) into 1 2.767 * [taylor]: Taking taylor expansion of 1 in y 2.767 * [backup-simplify]: Simplify 1 into 1 2.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify (+ 0 0) into 0 2.769 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.769 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.769 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 2.769 * [taylor]: Taking taylor expansion of (- 2.0) in y 2.769 * [taylor]: Taking taylor expansion of 2.0 in y 2.769 * [backup-simplify]: Simplify 2.0 into 2.0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.771 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.771 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 2.772 * [backup-simplify]: Simplify (- 0) into 0 2.772 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.772 * [taylor]: Taking taylor expansion of y in y 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [backup-simplify]: Simplify (* 1 1) into 1 2.772 * [backup-simplify]: Simplify (/ 1 1) into 1 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [backup-simplify]: Simplify 1 into 1 2.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.774 * [backup-simplify]: Simplify (+ 0 0) into 0 2.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.775 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 2.775 * [backup-simplify]: Simplify (- 0) into 0 2.776 * [backup-simplify]: Simplify (+ 0 0) into 0 2.776 * [taylor]: Taking taylor expansion of 0 in y 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.776 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.777 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.778 * [backup-simplify]: Simplify (+ (* (- 2.0) (* 1 (/ 1 (/ 1 (- x))))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 2.778 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.778 * [backup-simplify]: Simplify (+ (* 2.0 x) (pow y 2)) into (+ (* 2.0 x) (pow y 2)) 2.778 * [approximate]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in (x y) around 0 2.778 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 2.778 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 2.778 * [taylor]: Taking taylor expansion of 2.0 in y 2.778 * [backup-simplify]: Simplify 2.0 into 2.0 2.778 * [taylor]: Taking taylor expansion of x in y 2.778 * [backup-simplify]: Simplify x into x 2.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.778 * [taylor]: Taking taylor expansion of y in y 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 2.778 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 2.778 * [taylor]: Taking taylor expansion of 2.0 in x 2.778 * [backup-simplify]: Simplify 2.0 into 2.0 2.778 * [taylor]: Taking taylor expansion of x in x 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.778 * [taylor]: Taking taylor expansion of y in x 2.778 * [backup-simplify]: Simplify y into y 2.778 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 2.778 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 2.778 * [taylor]: Taking taylor expansion of 2.0 in x 2.778 * [backup-simplify]: Simplify 2.0 into 2.0 2.778 * [taylor]: Taking taylor expansion of x in x 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.778 * [taylor]: Taking taylor expansion of y in x 2.778 * [backup-simplify]: Simplify y into y 2.779 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.779 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.779 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.779 * [taylor]: Taking taylor expansion of y in y 2.779 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify 1 into 1 2.780 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 2.780 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.780 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 2.780 * [taylor]: Taking taylor expansion of 2.0 in y 2.780 * [backup-simplify]: Simplify 2.0 into 2.0 2.780 * [backup-simplify]: Simplify 2.0 into 2.0 2.781 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 2.781 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.781 * [backup-simplify]: Simplify (+ 0 0) into 0 2.781 * [taylor]: Taking taylor expansion of 0 in y 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify (* 1 1) into 1 2.782 * [backup-simplify]: Simplify 1 into 1 2.782 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.783 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.783 * [backup-simplify]: Simplify (+ 0 0) into 0 2.783 * [taylor]: Taking taylor expansion of 0 in y 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.785 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.785 * [backup-simplify]: Simplify (+ 0 0) into 0 2.785 * [taylor]: Taking taylor expansion of 0 in y 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 2.0 (* 1 x))) into (+ (* 2.0 x) (pow y 2)) 2.786 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 x)) (pow (/ 1 y) 2)) into (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) 2.786 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in (x y) around 0 2.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 2.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.786 * [taylor]: Taking taylor expansion of y in y 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 1 into 1 2.786 * [backup-simplify]: Simplify (* 1 1) into 1 2.786 * [backup-simplify]: Simplify (/ 1 1) into 1 2.786 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 2.786 * [taylor]: Taking taylor expansion of 2.0 in y 2.786 * [backup-simplify]: Simplify 2.0 into 2.0 2.786 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.786 * [taylor]: Taking taylor expansion of x in y 2.787 * [backup-simplify]: Simplify x into x 2.787 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 2.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.787 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.787 * [taylor]: Taking taylor expansion of y in x 2.787 * [backup-simplify]: Simplify y into y 2.787 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.787 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.787 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.787 * [taylor]: Taking taylor expansion of 2.0 in x 2.787 * [backup-simplify]: Simplify 2.0 into 2.0 2.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.787 * [taylor]: Taking taylor expansion of x in x 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.787 * [backup-simplify]: Simplify (/ 1 1) into 1 2.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 2.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.787 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.787 * [taylor]: Taking taylor expansion of y in x 2.787 * [backup-simplify]: Simplify y into y 2.787 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.787 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.787 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.787 * [taylor]: Taking taylor expansion of 2.0 in x 2.787 * [backup-simplify]: Simplify 2.0 into 2.0 2.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.788 * [taylor]: Taking taylor expansion of x in x 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (/ 1 1) into 1 2.788 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.788 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 2.788 * [taylor]: Taking taylor expansion of 2.0 in y 2.788 * [backup-simplify]: Simplify 2.0 into 2.0 2.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.789 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 2.789 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.789 * [taylor]: Taking taylor expansion of y in y 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 1 into 1 2.790 * [backup-simplify]: Simplify (* 1 1) into 1 2.790 * [backup-simplify]: Simplify (/ 1 1) into 1 2.790 * [backup-simplify]: Simplify 1 into 1 2.790 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.791 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 2.792 * [backup-simplify]: Simplify (+ 0 0) into 0 2.792 * [taylor]: Taking taylor expansion of 0 in y 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.792 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 2.0 into 2.0 2.793 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (+ 0 0) into 0 2.794 * [taylor]: Taking taylor expansion of 0 in y 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.798 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.798 * [backup-simplify]: Simplify (+ 0 0) into 0 2.798 * [taylor]: Taking taylor expansion of 0 in y 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.802 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.802 * [backup-simplify]: Simplify (+ 0 0) into 0 2.802 * [taylor]: Taking taylor expansion of 0 in y 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 2.0 x) (pow y 2)) 2.802 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 (- x))) (pow (/ 1 (- y)) 2)) into (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) 2.802 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in (x y) around 0 2.802 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 2.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.803 * [taylor]: Taking taylor expansion of y in y 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (* 1 1) into 1 2.803 * [backup-simplify]: Simplify (/ 1 1) into 1 2.803 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 2.803 * [taylor]: Taking taylor expansion of 2.0 in y 2.803 * [backup-simplify]: Simplify 2.0 into 2.0 2.803 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.803 * [taylor]: Taking taylor expansion of x in y 2.803 * [backup-simplify]: Simplify x into x 2.803 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.803 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 2.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.803 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.803 * [taylor]: Taking taylor expansion of y in x 2.803 * [backup-simplify]: Simplify y into y 2.803 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.803 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.804 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.804 * [taylor]: Taking taylor expansion of 2.0 in x 2.804 * [backup-simplify]: Simplify 2.0 into 2.0 2.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.804 * [taylor]: Taking taylor expansion of x in x 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (/ 1 1) into 1 2.804 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 2.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.804 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.804 * [taylor]: Taking taylor expansion of y in x 2.804 * [backup-simplify]: Simplify y into y 2.804 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.804 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.804 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.804 * [taylor]: Taking taylor expansion of 2.0 in x 2.804 * [backup-simplify]: Simplify 2.0 into 2.0 2.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.804 * [taylor]: Taking taylor expansion of x in x 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify (/ 1 1) into 1 2.805 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.805 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.806 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 2.806 * [taylor]: Taking taylor expansion of (- 2.0) in y 2.806 * [taylor]: Taking taylor expansion of 2.0 in y 2.806 * [backup-simplify]: Simplify 2.0 into 2.0 2.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.807 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 2.807 * [backup-simplify]: Simplify (- 0) into 0 2.807 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.807 * [taylor]: Taking taylor expansion of y in y 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.808 * [backup-simplify]: Simplify (* 1 1) into 1 2.808 * [backup-simplify]: Simplify (/ 1 1) into 1 2.808 * [backup-simplify]: Simplify 1 into 1 2.808 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 2.809 * [backup-simplify]: Simplify (- 0) into 0 2.810 * [backup-simplify]: Simplify (+ 0 0) into 0 2.810 * [taylor]: Taking taylor expansion of 0 in y 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.811 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.811 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (- 0) into 0 2.814 * [backup-simplify]: Simplify (+ 0 0) into 0 2.814 * [taylor]: Taking taylor expansion of 0 in y 2.814 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify (- 0) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.819 * [backup-simplify]: Simplify (- 0) into 0 2.819 * [backup-simplify]: Simplify (+ 0 0) into 0 2.819 * [taylor]: Taking taylor expansion of 0 in y 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (- 0) into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.823 * [backup-simplify]: Simplify (- 0) into 0 2.824 * [backup-simplify]: Simplify (+ 0 0) into 0 2.824 * [taylor]: Taking taylor expansion of 0 in y 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* (- 2.0) (* 1 (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 2.0 x) (pow y 2)) 2.824 * * * [progress]: simplifying candidates 2.825 * [simplify]: Simplifying: (* (* (exp (* 2.0 x)) (exp (pow y 2))) (exp (* x x))) (* (exp (+ (* 2.0 x) (pow y 2))) (exp (* x x))) (log (+ (+ (* 2.0 x) (pow y 2)) (* x x))) (exp (+ (+ (* 2.0 x) (pow y 2)) (* x x))) (* (cbrt (+ (+ (* 2.0 x) (pow y 2)) (* x x))) (cbrt (+ (+ (* 2.0 x) (pow y 2)) (* x x)))) (cbrt (+ (+ (* 2.0 x) (pow y 2)) (* x x))) (* (* (+ (+ (* 2.0 x) (pow y 2)) (* x x)) (+ (+ (* 2.0 x) (pow y 2)) (* x x))) (+ (+ (* 2.0 x) (pow y 2)) (* x x))) (sqrt (+ (+ (* 2.0 x) (pow y 2)) (* x x))) (sqrt (+ (+ (* 2.0 x) (pow y 2)) (* x x))) (+ (pow (+ (* 2.0 x) (pow y 2)) 3) (pow (* x x) 3)) (+ (* (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2))) (- (* (* x x) (* x x)) (* (+ (* 2.0 x) (pow y 2)) (* x x)))) (- (* (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2))) (* (* x x) (* x x))) (- (+ (* 2.0 x) (pow y 2)) (* x x)) (+ (pow y 2) (* x x)) (* (exp (* 2.0 x)) (exp (pow y 2))) (log (+ (* 2.0 x) (pow y 2))) (exp (+ (* 2.0 x) (pow y 2))) (* (cbrt (+ (* 2.0 x) (pow y 2))) (cbrt (+ (* 2.0 x) (pow y 2)))) (cbrt (+ (* 2.0 x) (pow y 2))) (* (* (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2))) (+ (* 2.0 x) (pow y 2))) (sqrt (+ (* 2.0 x) (pow y 2))) (sqrt (+ (* 2.0 x) (pow y 2))) (+ (pow (* 2.0 x) 3) (pow (pow y 2) 3)) (+ (* (* 2.0 x) (* 2.0 x)) (- (* (pow y 2) (pow y 2)) (* (* 2.0 x) (pow y 2)))) (- (* (* 2.0 x) (* 2.0 x)) (* (pow y 2) (pow y 2))) (- (* 2.0 x) (pow y 2)) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) 2.826 * * [simplify]: Extracting # 0 : cost 0 2.826 * * [simplify]: Extracting # 1 : cost 0 2.827 * * [simplify]: Extracting # 2 : cost 0 2.827 * * [simplify]: Extracting # 3 : cost 0 2.827 * * [simplify]: Extracting # 4 : cost 0 2.827 * * [simplify]: Extracting # 5 : cost 0 2.827 * * [simplify]: Extracting # 6 : cost 0 2.828 * * [simplify]: iteration 0 : 52 enodes (cost 437 ) 2.850 * * [simplify]: Extracting # 0 : cost 0 2.850 * * [simplify]: Extracting # 1 : cost 0 2.850 * * [simplify]: Extracting # 2 : cost 0 2.851 * * [simplify]: Extracting # 3 : cost 0 2.851 * * [simplify]: Extracting # 4 : cost 0 2.851 * * [simplify]: iteration 1 : 166 enodes (cost 407 ) 2.951 * * [simplify]: Extracting # 0 : cost 0 2.952 * * [simplify]: Extracting # 1 : cost 0 2.953 * * [simplify]: Extracting # 2 : cost 0 2.954 * * [simplify]: Extracting # 3 : cost 0 2.955 * * [simplify]: Extracting # 4 : cost 0 2.956 * * [simplify]: Extracting # 5 : cost 0 2.956 * * [simplify]: iteration 2 : 589 enodes (cost 353 ) 3.366 * * [simplify]: Extracting # 0 : cost 0 3.370 * * [simplify]: Extracting # 1 : cost 0 3.374 * * [simplify]: Extracting # 2 : cost 0 3.377 * * [simplify]: Extracting # 3 : cost 0 3.381 * * [simplify]: Extracting # 4 : cost 0 3.384 * * [simplify]: Extracting # 5 : cost 0 3.387 * * [simplify]: Extracting # 6 : cost 0 3.390 * * [simplify]: iteration 3 : 2159 enodes (cost 335 ) 4.307 * * [simplify]: Extracting # 0 : cost 0 4.315 * * [simplify]: Extracting # 1 : cost 0 4.325 * * [simplify]: Extracting # 2 : cost 0 4.341 * * [simplify]: Extracting # 3 : cost 0 4.350 * * [simplify]: Extracting # 4 : cost 0 4.359 * * [simplify]: iteration done: 5000 enodes (cost 335 ) 4.359 * [simplify]: Simplified to: (exp (+ (pow y 2) (* x (+ x 2.0)))) (exp (+ (pow y 2) (* x (+ x 2.0)))) (log (+ (pow y 2) (* x (+ x 2.0)))) (exp (+ (pow y 2) (* x (+ x 2.0)))) (* (cbrt (+ (pow y 2) (* x (+ x 2.0)))) (cbrt (+ (pow y 2) (* x (+ x 2.0))))) (cbrt (+ (pow y 2) (* x (+ x 2.0)))) (pow (+ (pow y 2) (* x (+ x 2.0))) 3) (sqrt (+ (pow y 2) (* x (+ x 2.0)))) (sqrt (+ (pow y 2) (* x (+ x 2.0)))) (+ (pow (+ (* 2.0 x) (pow y 2)) 3) (pow x 6)) (+ (* (+ (* 2.0 x) (pow y 2)) (+ (* x (- 2.0 x)) (pow y 2))) (pow x 4)) (- (* (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2))) (pow x 4)) (+ (* x (- 2.0 x)) (pow y 2)) (+ (pow y 2) (* x x)) (exp (+ (* 2.0 x) (pow y 2))) (log (+ (* 2.0 x) (pow y 2))) (exp (+ (* 2.0 x) (pow y 2))) (* (cbrt (+ (* 2.0 x) (pow y 2))) (cbrt (+ (* 2.0 x) (pow y 2)))) (cbrt (+ (* 2.0 x) (pow y 2))) (pow (+ (* 2.0 x) (pow y 2)) 3) (sqrt (+ (* 2.0 x) (pow y 2))) (sqrt (+ (* 2.0 x) (pow y 2))) (+ (pow (* 2.0 x) 3) (pow y 6)) (+ (pow y 4) (* (* 2.0 x) (- (* 2.0 x) (pow y 2)))) (- (* (* 2.0 x) (* 2.0 x)) (pow y 4)) (- (* 2.0 x) (pow y 2)) (+ (pow y 2) (* x (+ x 2.0))) (+ (pow y 2) (* x (+ x 2.0))) (+ (pow y 2) (* x (+ x 2.0))) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) 4.359 * * * [progress]: adding candidates to table 4.457 * [progress]: [Phase 3 of 3] Extracting. 4.458 * * [regime]: Finding splitpoints for: (# #) 4.458 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 4.458 * * * * [regimes]: Trying to branch on (* y y) from (# #) 4.475 * * * * [regimes]: Trying to branch on y from (# #) 4.497 * * * * [regimes]: Trying to branch on x from (# #) 4.516 * * * [regime]: Found split indices: #