60.728 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.029 * * [simplify]: Extracting # 3 : cost 0 0.029 * * [simplify]: Extracting # 4 : cost 0 0.029 * * [simplify]: Extracting # 5 : cost 0 0.029 * * [simplify]: Extracting # 6 : cost 0 0.029 * * [simplify]: iteration 0 : 7 enodes (cost 15 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: Extracting # 1 : cost 0 0.030 * * [simplify]: Extracting # 2 : cost 0 0.030 * * [simplify]: iteration 1 : 13 enodes (cost 15 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: Extracting # 1 : cost 0 0.033 * * [simplify]: Extracting # 2 : cost 0 0.033 * * [simplify]: Extracting # 3 : cost 0 0.033 * * [simplify]: Extracting # 4 : cost 0 0.033 * * [simplify]: iteration 2 : 23 enodes (cost 13 ) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.046 * * [simplify]: Extracting # 1 : cost 0 0.046 * * [simplify]: Extracting # 2 : cost 0 0.046 * * [simplify]: Extracting # 3 : cost 0 0.046 * * [simplify]: iteration 3 : 35 enodes (cost 9 ) 0.053 * * [simplify]: Extracting # 0 : cost 0 0.053 * * [simplify]: Extracting # 1 : cost 0 0.053 * * [simplify]: iteration 4 : 43 enodes (cost 9 ) 0.060 * * [simplify]: Extracting # 0 : cost 0 0.060 * * [simplify]: iteration 5 : 46 enodes (cost 9 ) 0.070 * * [simplify]: Extracting # 0 : cost 0 0.070 * * [simplify]: iteration done: 46 enodes (cost 9 ) 0.070 * [simplify]: Simplified to: (+ (* x x) (* 3 (* y y))) 0.073 * * [progress]: iteration 1 / 4 0.073 * * * [progress]: picking best candidate 0.076 * * * * [pick]: Picked # 0.076 * * * [progress]: localizing error 0.082 * * * [progress]: generating rewritten candidates 0.082 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.099 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.114 * * * [progress]: generating series expansions 0.114 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.114 * [backup-simplify]: Simplify (* 3 (* y y)) into (* 3 (pow y 2)) 0.114 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.114 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of 3 in y 0.114 * [backup-simplify]: Simplify 3 into 3 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of 3 in y 0.114 * [backup-simplify]: Simplify 3 into 3 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (* 3 1) into 3 0.115 * [backup-simplify]: Simplify 3 into 3 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.116 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.117 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.120 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.123 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.125 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.126 * [backup-simplify]: Simplify (* 3 (* (/ 1 y) (/ 1 y))) into (/ 3 (pow y 2)) 0.126 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.126 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of 3 in y 0.126 * [backup-simplify]: Simplify 3 into 3 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 3 1) into 3 0.127 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of 3 in y 0.127 * [backup-simplify]: Simplify 3 into 3 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (/ 3 1) into 3 0.128 * [backup-simplify]: Simplify 3 into 3 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 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 0.138 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 0.139 * [backup-simplify]: Simplify (* 3 (* (/ 1 (- y)) (/ 1 (- y)))) into (/ 3 (pow y 2)) 0.139 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.139 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of 3 in y 0.139 * [backup-simplify]: Simplify 3 into 3 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (/ 3 1) into 3 0.140 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.140 * [taylor]: Taking taylor expansion of 3 in y 0.140 * [backup-simplify]: Simplify 3 into 3 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (/ 3 1) into 3 0.140 * [backup-simplify]: Simplify 3 into 3 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 0.148 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.148 * [backup-simplify]: Simplify (+ (* x x) (* 3 (* y y))) into (+ (pow x 2) (* 3 (pow y 2))) 0.148 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.148 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.148 * [taylor]: Taking taylor expansion of x in y 0.148 * [backup-simplify]: Simplify x into x 0.148 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of 3 in y 0.149 * [backup-simplify]: Simplify 3 into 3 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.149 * [taylor]: Taking taylor expansion of 3 in x 0.149 * [backup-simplify]: Simplify 3 into 3 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [backup-simplify]: Simplify y into y 0.149 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.149 * [taylor]: Taking taylor expansion of 3 in x 0.149 * [backup-simplify]: Simplify 3 into 3 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [backup-simplify]: Simplify y into y 0.149 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.149 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.150 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 0.150 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of 3 in y 0.150 * [backup-simplify]: Simplify 3 into 3 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.151 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 0.151 * [backup-simplify]: Simplify (+ 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 into 0 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.153 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [taylor]: Taking taylor expansion of 1 in y 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (* 3 1) into 3 0.154 * [backup-simplify]: Simplify 3 into 3 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.158 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.159 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.159 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* 3 (* (/ 1 y) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.159 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [backup-simplify]: Simplify x into x 0.159 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.160 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.160 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.160 * [taylor]: Taking taylor expansion of 3 in y 0.160 * [backup-simplify]: Simplify 3 into 3 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (* 1 1) into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.161 * [taylor]: Taking taylor expansion of 3 in x 0.161 * [backup-simplify]: Simplify 3 into 3 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [backup-simplify]: Simplify y into y 0.161 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.161 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.162 * [taylor]: Taking taylor expansion of 3 in x 0.162 * [backup-simplify]: Simplify 3 into 3 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [backup-simplify]: Simplify y into y 0.162 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.162 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.162 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [taylor]: Taking taylor expansion of 1 in y 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.165 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.165 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.165 * [taylor]: Taking taylor expansion of 3 in y 0.165 * [backup-simplify]: Simplify 3 into 3 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (* 3 1) into 3 0.166 * [backup-simplify]: Simplify 3 into 3 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.168 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.174 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* 3 (* (/ 1 (- y)) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.174 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [backup-simplify]: Simplify x into x 0.175 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.175 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.175 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.175 * [taylor]: Taking taylor expansion of 3 in y 0.175 * [backup-simplify]: Simplify 3 into 3 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* 1 1) into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.176 * [taylor]: Taking taylor expansion of 3 in x 0.176 * [backup-simplify]: Simplify 3 into 3 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [backup-simplify]: Simplify y into y 0.176 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.176 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (* 1 1) into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.177 * [taylor]: Taking taylor expansion of 3 in x 0.177 * [backup-simplify]: Simplify 3 into 3 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [backup-simplify]: Simplify y into y 0.177 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.177 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.177 * [backup-simplify]: Simplify (+ 1 0) into 1 0.177 * [taylor]: Taking taylor expansion of 1 in y 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.180 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.180 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.180 * [taylor]: Taking taylor expansion of 3 in y 0.180 * [backup-simplify]: Simplify 3 into 3 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [backup-simplify]: Simplify (* 3 1) into 3 0.181 * [backup-simplify]: Simplify 3 into 3 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.182 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.186 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.188 * * * [progress]: simplifying candidates 0.189 * [simplify]: Simplifying: (* 3 (* y y)) (* 3 (* y y)) (+ (log 3) (+ (log y) (log y))) (+ (log 3) (log (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (* (* 3 3) 3) (* (* (* y y) y) (* (* y y) y))) (* (* (* 3 3) 3) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (* (* 3 (* y y)) (* 3 (* y y))) (* 3 (* y y))) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (* (exp (* x x)) (exp (* 3 (* y y)))) (log (+ (* x x) (* 3 (* y y)))) (exp (+ (* x x) (* 3 (* y y)))) (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))) (cbrt (+ (* x x) (* 3 (* y y)))) (* (* (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y)))) (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3)) (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y))))) (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y)))) (- (* x x) (* 3 (* y y))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.190 * * [simplify]: Extracting # 0 : cost 0 0.190 * * [simplify]: Extracting # 1 : cost 0 0.190 * * [simplify]: Extracting # 2 : cost 0 0.190 * * [simplify]: Extracting # 3 : cost 0 0.190 * * [simplify]: Extracting # 4 : cost 0 0.190 * * [simplify]: Extracting # 5 : cost 0 0.190 * * [simplify]: Extracting # 6 : cost 0 0.190 * * [simplify]: iteration 0 : 57 enodes (cost 370 ) 0.204 * * [simplify]: Extracting # 0 : cost 0 0.205 * * [simplify]: Extracting # 1 : cost 0 0.205 * * [simplify]: Extracting # 2 : cost 0 0.205 * * [simplify]: Extracting # 3 : cost 0 0.205 * * [simplify]: Extracting # 4 : cost 0 0.205 * * [simplify]: iteration 1 : 157 enodes (cost 340 ) 0.285 * * [simplify]: Extracting # 0 : cost 0 0.286 * * [simplify]: Extracting # 1 : cost 0 0.286 * * [simplify]: Extracting # 2 : cost 0 0.287 * * [simplify]: Extracting # 3 : cost 0 0.288 * * [simplify]: Extracting # 4 : cost 0 0.289 * * [simplify]: iteration 2 : 476 enodes (cost 296 ) 0.656 * * [simplify]: Extracting # 0 : cost 0 0.658 * * [simplify]: Extracting # 1 : cost 0 0.659 * * [simplify]: Extracting # 2 : cost 0 0.661 * * [simplify]: Extracting # 3 : cost 0 0.662 * * [simplify]: Extracting # 4 : cost 0 0.663 * * [simplify]: iteration 3 : 1346 enodes (cost 288 ) 2.080 * * [simplify]: Extracting # 0 : cost 0 2.084 * * [simplify]: Extracting # 1 : cost 0 2.087 * * [simplify]: Extracting # 2 : cost 0 2.096 * * [simplify]: Extracting # 3 : cost 0 2.098 * * [simplify]: Extracting # 4 : cost 0 2.101 * * [simplify]: iteration 4 : 3542 enodes (cost 288 ) 3.760 * * [simplify]: Extracting # 0 : cost 0 3.765 * * [simplify]: Extracting # 1 : cost 0 3.770 * * [simplify]: Extracting # 2 : cost 0 3.781 * * [simplify]: Extracting # 3 : cost 0 3.790 * * [simplify]: Extracting # 4 : cost 0 3.799 * * [simplify]: iteration done: 5000 enodes (cost 288 ) 3.799 * [simplify]: Simplified to: (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (pow y 6) 27) (* (pow y 6) 27) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (pow y 6) 27) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (exp (+ (* x x) (* 3 (* y y)))) (log (+ (* x x) (* 3 (* y y)))) (exp (+ (* x x) (* 3 (* y y)))) (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))) (cbrt (+ (* x x) (* 3 (* y y)))) (pow (+ (* x x) (* 3 (* y y))) 3) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (+ (* (pow y 6) 27) (pow x 6)) (+ (* (* 3 (* y y)) (- (* 3 (* y y)) (* x x))) (pow x 4)) (+ (* -9 (pow y 4)) (pow x 4)) (- (* x x) (* 3 (* y y))) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))) 3.800 * * * [progress]: adding candidates to table 3.905 * * [progress]: iteration 2 / 4 3.905 * * * [progress]: picking best candidate 3.915 * * * * [pick]: Picked # 3.915 * * * [progress]: localizing error 3.922 * * * [progress]: generating rewritten candidates 3.922 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 3.950 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.964 * * * [progress]: generating series expansions 3.964 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 3.964 * [backup-simplify]: Simplify (* (* 3 y) y) into (* 3 (pow y 2)) 3.964 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 3.964 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.964 * [taylor]: Taking taylor expansion of 3 in y 3.964 * [backup-simplify]: Simplify 3 into 3 3.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.964 * [taylor]: Taking taylor expansion of y in y 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.964 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.964 * [taylor]: Taking taylor expansion of 3 in y 3.964 * [backup-simplify]: Simplify 3 into 3 3.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.964 * [taylor]: Taking taylor expansion of y in y 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.965 * [backup-simplify]: Simplify (* 1 1) into 1 3.965 * [backup-simplify]: Simplify (* 3 1) into 3 3.965 * [backup-simplify]: Simplify 3 into 3 3.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.966 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.966 * [backup-simplify]: Simplify 0 into 0 3.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.968 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.969 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.969 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.971 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.971 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.974 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.974 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.977 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.977 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 3.978 * [backup-simplify]: Simplify (* (* 3 (/ 1 y)) (/ 1 y)) into (/ 3 (pow y 2)) 3.978 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 3.978 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 3.978 * [taylor]: Taking taylor expansion of 3 in y 3.978 * [backup-simplify]: Simplify 3 into 3 3.978 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.978 * [taylor]: Taking taylor expansion of y in y 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (* 1 1) into 1 3.979 * [backup-simplify]: Simplify (/ 3 1) into 3 3.979 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 3.979 * [taylor]: Taking taylor expansion of 3 in y 3.979 * [backup-simplify]: Simplify 3 into 3 3.979 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.979 * [taylor]: Taking taylor expansion of y in y 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (* 1 1) into 1 3.980 * [backup-simplify]: Simplify (/ 3 1) into 3 3.980 * [backup-simplify]: Simplify 3 into 3 3.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.983 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.988 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.990 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 3.994 * [backup-simplify]: Simplify (* (* 3 (/ 1 (- y))) (/ 1 (- y))) into (/ 3 (pow y 2)) 3.994 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 3.994 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 3.994 * [taylor]: Taking taylor expansion of 3 in y 3.994 * [backup-simplify]: Simplify 3 into 3 3.994 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.994 * [taylor]: Taking taylor expansion of y in y 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.995 * [backup-simplify]: Simplify (* 1 1) into 1 3.995 * [backup-simplify]: Simplify (/ 3 1) into 3 3.995 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 3.995 * [taylor]: Taking taylor expansion of 3 in y 3.995 * [backup-simplify]: Simplify 3 into 3 3.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.995 * [taylor]: Taking taylor expansion of y in y 3.995 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 1 into 1 3.996 * [backup-simplify]: Simplify (* 1 1) into 1 3.997 * [backup-simplify]: Simplify (/ 3 1) into 3 3.997 * [backup-simplify]: Simplify 3 into 3 3.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 3.999 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.001 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 4.010 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.010 * [backup-simplify]: Simplify (+ (* x x) (* (* 3 y) y)) into (+ (pow x 2) (* 3 (pow y 2))) 4.010 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 4.010 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 4.010 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.010 * [taylor]: Taking taylor expansion of x in y 4.011 * [backup-simplify]: Simplify x into x 4.011 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 4.011 * [taylor]: Taking taylor expansion of 3 in y 4.011 * [backup-simplify]: Simplify 3 into 3 4.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.011 * [taylor]: Taking taylor expansion of y in y 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 4.011 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.011 * [taylor]: Taking taylor expansion of x in x 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 4.011 * [taylor]: Taking taylor expansion of 3 in x 4.011 * [backup-simplify]: Simplify 3 into 3 4.011 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.011 * [taylor]: Taking taylor expansion of y in x 4.011 * [backup-simplify]: Simplify y into y 4.011 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 4.011 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.011 * [taylor]: Taking taylor expansion of x in x 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 4.011 * [taylor]: Taking taylor expansion of 3 in x 4.011 * [backup-simplify]: Simplify 3 into 3 4.011 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.011 * [taylor]: Taking taylor expansion of y in x 4.011 * [backup-simplify]: Simplify y into y 4.011 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.011 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 4.011 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 4.011 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 4.011 * [taylor]: Taking taylor expansion of 3 in y 4.011 * [backup-simplify]: Simplify 3 into 3 4.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.011 * [taylor]: Taking taylor expansion of y in y 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.012 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 4.012 * [backup-simplify]: Simplify (+ 0 0) into 0 4.012 * [taylor]: Taking taylor expansion of 0 in y 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify (* 1 1) into 1 4.013 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.013 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.014 * [backup-simplify]: Simplify (+ 1 0) into 1 4.014 * [taylor]: Taking taylor expansion of 1 in y 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (* 1 1) into 1 4.014 * [backup-simplify]: Simplify (* 3 1) into 3 4.014 * [backup-simplify]: Simplify 3 into 3 4.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.015 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.016 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.016 * [backup-simplify]: Simplify (+ 0 0) into 0 4.016 * [taylor]: Taking taylor expansion of 0 in y 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.017 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.019 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.020 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 4.020 * [backup-simplify]: Simplify (+ 0 0) into 0 4.020 * [taylor]: Taking taylor expansion of 0 in y 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 4.020 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* 3 (/ 1 y)) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 4.020 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 4.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 4.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.020 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.021 * [taylor]: Taking taylor expansion of x in y 4.021 * [backup-simplify]: Simplify x into x 4.021 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.021 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.021 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.021 * [taylor]: Taking taylor expansion of 3 in y 4.021 * [backup-simplify]: Simplify 3 into 3 4.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.021 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.021 * [taylor]: Taking taylor expansion of y in y 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 1 into 1 4.021 * [backup-simplify]: Simplify (* 1 1) into 1 4.021 * [backup-simplify]: Simplify (/ 1 1) into 1 4.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.021 * [taylor]: Taking taylor expansion of x in x 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 1 into 1 4.022 * [backup-simplify]: Simplify (* 1 1) into 1 4.022 * [backup-simplify]: Simplify (/ 1 1) into 1 4.022 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.022 * [taylor]: Taking taylor expansion of 3 in x 4.022 * [backup-simplify]: Simplify 3 into 3 4.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.022 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.022 * [taylor]: Taking taylor expansion of y in x 4.022 * [backup-simplify]: Simplify y into y 4.022 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.022 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.022 * [taylor]: Taking taylor expansion of x in x 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 1 into 1 4.022 * [backup-simplify]: Simplify (* 1 1) into 1 4.023 * [backup-simplify]: Simplify (/ 1 1) into 1 4.023 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.023 * [taylor]: Taking taylor expansion of 3 in x 4.023 * [backup-simplify]: Simplify 3 into 3 4.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.023 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.023 * [taylor]: Taking taylor expansion of y in x 4.023 * [backup-simplify]: Simplify y into y 4.023 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.023 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.023 * [backup-simplify]: Simplify (+ 1 0) into 1 4.023 * [taylor]: Taking taylor expansion of 1 in y 4.023 * [backup-simplify]: Simplify 1 into 1 4.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.024 * [backup-simplify]: Simplify (+ 0 0) into 0 4.024 * [taylor]: Taking taylor expansion of 0 in y 4.024 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.026 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 4.026 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 4.026 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.026 * [taylor]: Taking taylor expansion of 3 in y 4.026 * [backup-simplify]: Simplify 3 into 3 4.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.026 * [taylor]: Taking taylor expansion of y in y 4.026 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify 1 into 1 4.026 * [backup-simplify]: Simplify (* 1 1) into 1 4.026 * [backup-simplify]: Simplify (/ 1 1) into 1 4.027 * [backup-simplify]: Simplify (* 3 1) into 3 4.027 * [backup-simplify]: Simplify 3 into 3 4.027 * [backup-simplify]: Simplify 1 into 1 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.028 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 4.029 * [backup-simplify]: Simplify (+ 0 0) into 0 4.029 * [taylor]: Taking taylor expansion of 0 in y 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.030 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.032 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.033 * [backup-simplify]: Simplify (+ 0 0) into 0 4.033 * [taylor]: Taking taylor expansion of 0 in y 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.034 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 4.035 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 3 (/ 1 (- y))) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 4.035 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 4.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 4.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.035 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.035 * [taylor]: Taking taylor expansion of x in y 4.035 * [backup-simplify]: Simplify x into x 4.035 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.035 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.035 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.035 * [taylor]: Taking taylor expansion of 3 in y 4.035 * [backup-simplify]: Simplify 3 into 3 4.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.035 * [taylor]: Taking taylor expansion of y in y 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.035 * [backup-simplify]: Simplify (* 1 1) into 1 4.036 * [backup-simplify]: Simplify (/ 1 1) into 1 4.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.036 * [taylor]: Taking taylor expansion of x in x 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.036 * [backup-simplify]: Simplify (* 1 1) into 1 4.036 * [backup-simplify]: Simplify (/ 1 1) into 1 4.036 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.036 * [taylor]: Taking taylor expansion of 3 in x 4.036 * [backup-simplify]: Simplify 3 into 3 4.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.036 * [taylor]: Taking taylor expansion of y in x 4.036 * [backup-simplify]: Simplify y into y 4.036 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.037 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.037 * [taylor]: Taking taylor expansion of x in x 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify (* 1 1) into 1 4.037 * [backup-simplify]: Simplify (/ 1 1) into 1 4.037 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.037 * [taylor]: Taking taylor expansion of 3 in x 4.037 * [backup-simplify]: Simplify 3 into 3 4.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.037 * [taylor]: Taking taylor expansion of y in x 4.037 * [backup-simplify]: Simplify y into y 4.037 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.037 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.038 * [backup-simplify]: Simplify (+ 1 0) into 1 4.038 * [taylor]: Taking taylor expansion of 1 in y 4.038 * [backup-simplify]: Simplify 1 into 1 4.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.039 * [backup-simplify]: Simplify (+ 0 0) into 0 4.039 * [taylor]: Taking taylor expansion of 0 in y 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.040 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 4.040 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 4.040 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.040 * [taylor]: Taking taylor expansion of 3 in y 4.040 * [backup-simplify]: Simplify 3 into 3 4.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.040 * [taylor]: Taking taylor expansion of y in y 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (* 1 1) into 1 4.041 * [backup-simplify]: Simplify (/ 1 1) into 1 4.041 * [backup-simplify]: Simplify (* 3 1) into 3 4.041 * [backup-simplify]: Simplify 3 into 3 4.041 * [backup-simplify]: Simplify 1 into 1 4.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.043 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.044 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 4.045 * [backup-simplify]: Simplify (+ 0 0) into 0 4.045 * [taylor]: Taking taylor expansion of 0 in y 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.047 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.050 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.051 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.052 * [backup-simplify]: Simplify (+ 0 0) into 0 4.052 * [taylor]: Taking taylor expansion of 0 in y 4.052 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.055 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 4.056 * * * [progress]: simplifying candidates 4.057 * [simplify]: Simplifying: (* (* 3 y) y) (* (* 3 y) y) (+ (+ (log 3) (log y)) (log y)) (+ (log (* 3 y)) (log y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (* (* (* 3 3) 3) (* (* y y) y)) (* (* y y) y)) (* (* (* (* 3 y) (* 3 y)) (* 3 y)) (* (* y y) y)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (* (* (* 3 y) y) (* (* 3 y) y)) (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* (* 3 y) 1) (* y y) (* (exp (* x x)) (exp (* (* 3 y) y))) (log (+ (* x x) (* (* 3 y) y))) (exp (+ (* x x) (* (* 3 y) y))) (* (cbrt (+ (* x x) (* (* 3 y) y))) (cbrt (+ (* x x) (* (* 3 y) y)))) (cbrt (+ (* x x) (* (* 3 y) y))) (* (* (+ (* x x) (* (* 3 y) y)) (+ (* x x) (* (* 3 y) y))) (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (+ (pow (* x x) 3) (pow (* (* 3 y) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* (* 3 y) y)))) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* (* 3 y) y))) (- (* x x) (* (* 3 y) y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 4.058 * * [simplify]: Extracting # 0 : cost 0 4.059 * * [simplify]: Extracting # 1 : cost 0 4.059 * * [simplify]: Extracting # 2 : cost 0 4.059 * * [simplify]: Extracting # 3 : cost 0 4.059 * * [simplify]: Extracting # 4 : cost 0 4.059 * * [simplify]: Extracting # 5 : cost 0 4.059 * * [simplify]: iteration 0 : 59 enodes (cost 365 ) 4.088 * * [simplify]: Extracting # 0 : cost 0 4.088 * * [simplify]: Extracting # 1 : cost 0 4.089 * * [simplify]: Extracting # 2 : cost 0 4.089 * * [simplify]: Extracting # 3 : cost 0 4.090 * * [simplify]: Extracting # 4 : cost 0 4.090 * * [simplify]: iteration 1 : 172 enodes (cost 335 ) 4.252 * * [simplify]: Extracting # 0 : cost 0 4.253 * * [simplify]: Extracting # 1 : cost 0 4.254 * * [simplify]: Extracting # 2 : cost 0 4.254 * * [simplify]: Extracting # 3 : cost 0 4.255 * * [simplify]: Extracting # 4 : cost 0 4.255 * * [simplify]: iteration 2 : 631 enodes (cost 291 ) 5.074 * * [simplify]: Extracting # 0 : cost 0 5.079 * * [simplify]: Extracting # 1 : cost 0 5.082 * * [simplify]: Extracting # 2 : cost 0 5.085 * * [simplify]: Extracting # 3 : cost 0 5.088 * * [simplify]: Extracting # 4 : cost 0 5.091 * * [simplify]: iteration 3 : 1818 enodes (cost 281 ) 7.875 * * [simplify]: Extracting # 0 : cost 0 7.887 * * [simplify]: Extracting # 1 : cost 0 7.895 * * [simplify]: Extracting # 2 : cost 0 7.899 * * [simplify]: Extracting # 3 : cost 0 7.904 * * [simplify]: Extracting # 4 : cost 0 7.909 * * [simplify]: iteration done: 5000 enodes (cost 281 ) 7.909 * [simplify]: Simplified to: (* 3 (pow y 2)) (* 3 (pow y 2)) (log (* 3 (pow y 2))) (log (* 3 (pow y 2))) (log (* 3 (pow y 2))) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* 3 y) (pow y 2) (exp (+ (* x x) (* (* 3 y) y))) (log (+ (* x x) (* (* 3 y) y))) (exp (+ (* x x) (* (* 3 y) y))) (* (cbrt (+ (* x x) (* (* 3 y) y))) (cbrt (+ (* x x) (* (* 3 y) y)))) (cbrt (+ (* x x) (* (* 3 y) y))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (+ (* 27 (pow y 6)) (pow x 6)) (+ (pow x 4) (* (* 3 (pow y 2)) (- (* 3 (pow y 2)) (* x x)))) (- (pow x 4) (* 9 (pow y 4))) (- (* x x) (* (* 3 y) y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) 7.910 * * * [progress]: adding candidates to table 7.993 * * [progress]: iteration 3 / 4 7.993 * * * [progress]: picking best candidate 8.006 * * * * [pick]: Picked # 8.006 * * * [progress]: localizing error 8.020 * * * [progress]: generating rewritten candidates 8.020 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 8.171 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 8.214 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 8.223 * * * [progress]: generating series expansions 8.223 * * * * [progress]: [ 1 / 3 ] generating series at (2) 8.223 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (pow x 2) (* 3 (pow y 2))) 8.223 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 8.223 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 8.223 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.223 * [taylor]: Taking taylor expansion of x in y 8.223 * [backup-simplify]: Simplify x into x 8.223 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 8.224 * [taylor]: Taking taylor expansion of 3 in y 8.224 * [backup-simplify]: Simplify 3 into 3 8.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.224 * [taylor]: Taking taylor expansion of y in y 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify 1 into 1 8.224 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 8.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.224 * [taylor]: Taking taylor expansion of x in x 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify 1 into 1 8.224 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 8.224 * [taylor]: Taking taylor expansion of 3 in x 8.224 * [backup-simplify]: Simplify 3 into 3 8.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.224 * [taylor]: Taking taylor expansion of y in x 8.224 * [backup-simplify]: Simplify y into y 8.224 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 8.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.224 * [taylor]: Taking taylor expansion of x in x 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify 1 into 1 8.224 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 8.224 * [taylor]: Taking taylor expansion of 3 in x 8.224 * [backup-simplify]: Simplify 3 into 3 8.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.224 * [taylor]: Taking taylor expansion of y in x 8.224 * [backup-simplify]: Simplify y into y 8.224 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.224 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 8.224 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 8.224 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 8.224 * [taylor]: Taking taylor expansion of 3 in y 8.224 * [backup-simplify]: Simplify 3 into 3 8.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.224 * [taylor]: Taking taylor expansion of y in y 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify 1 into 1 8.224 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.225 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 8.225 * [backup-simplify]: Simplify (+ 0 0) into 0 8.225 * [taylor]: Taking taylor expansion of 0 in y 8.225 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify 0 into 0 8.226 * [backup-simplify]: Simplify (* 1 1) into 1 8.226 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.227 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.227 * [backup-simplify]: Simplify (+ 1 0) into 1 8.227 * [taylor]: Taking taylor expansion of 1 in y 8.227 * [backup-simplify]: Simplify 1 into 1 8.227 * [backup-simplify]: Simplify 1 into 1 8.227 * [backup-simplify]: Simplify 0 into 0 8.227 * [backup-simplify]: Simplify (* 1 1) into 1 8.228 * [backup-simplify]: Simplify (* 3 1) into 3 8.228 * [backup-simplify]: Simplify 3 into 3 8.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.228 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.229 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.229 * [backup-simplify]: Simplify (+ 0 0) into 0 8.229 * [taylor]: Taking taylor expansion of 0 in y 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.230 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 8.230 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.232 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.233 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.233 * [backup-simplify]: Simplify (+ 0 0) into 0 8.233 * [taylor]: Taking taylor expansion of 0 in y 8.233 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 8.234 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 8.234 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 8.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 8.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.234 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.234 * [taylor]: Taking taylor expansion of x in y 8.234 * [backup-simplify]: Simplify x into x 8.234 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.234 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.234 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 8.234 * [taylor]: Taking taylor expansion of 3 in y 8.234 * [backup-simplify]: Simplify 3 into 3 8.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.234 * [taylor]: Taking taylor expansion of y in y 8.234 * [backup-simplify]: Simplify 0 into 0 8.234 * [backup-simplify]: Simplify 1 into 1 8.234 * [backup-simplify]: Simplify (* 1 1) into 1 8.235 * [backup-simplify]: Simplify (/ 1 1) into 1 8.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 8.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.235 * [taylor]: Taking taylor expansion of x in x 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 1 into 1 8.235 * [backup-simplify]: Simplify (* 1 1) into 1 8.235 * [backup-simplify]: Simplify (/ 1 1) into 1 8.235 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 8.235 * [taylor]: Taking taylor expansion of 3 in x 8.235 * [backup-simplify]: Simplify 3 into 3 8.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.235 * [taylor]: Taking taylor expansion of y in x 8.235 * [backup-simplify]: Simplify y into y 8.236 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 8.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.236 * [taylor]: Taking taylor expansion of x in x 8.236 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify 1 into 1 8.236 * [backup-simplify]: Simplify (* 1 1) into 1 8.236 * [backup-simplify]: Simplify (/ 1 1) into 1 8.236 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 8.236 * [taylor]: Taking taylor expansion of 3 in x 8.236 * [backup-simplify]: Simplify 3 into 3 8.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.236 * [taylor]: Taking taylor expansion of y in x 8.236 * [backup-simplify]: Simplify y into y 8.236 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.237 * [backup-simplify]: Simplify (+ 1 0) into 1 8.237 * [taylor]: Taking taylor expansion of 1 in y 8.237 * [backup-simplify]: Simplify 1 into 1 8.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.238 * [backup-simplify]: Simplify (+ 0 0) into 0 8.238 * [taylor]: Taking taylor expansion of 0 in y 8.238 * [backup-simplify]: Simplify 0 into 0 8.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.239 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 8.239 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 8.239 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 8.239 * [taylor]: Taking taylor expansion of 3 in y 8.239 * [backup-simplify]: Simplify 3 into 3 8.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.240 * [taylor]: Taking taylor expansion of y in y 8.240 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify 1 into 1 8.240 * [backup-simplify]: Simplify (* 1 1) into 1 8.240 * [backup-simplify]: Simplify (/ 1 1) into 1 8.240 * [backup-simplify]: Simplify (* 3 1) into 3 8.240 * [backup-simplify]: Simplify 3 into 3 8.240 * [backup-simplify]: Simplify 1 into 1 8.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.242 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.243 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 8.243 * [backup-simplify]: Simplify (+ 0 0) into 0 8.244 * [taylor]: Taking taylor expansion of 0 in y 8.244 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.246 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.248 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.250 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.250 * [backup-simplify]: Simplify (+ 0 0) into 0 8.250 * [taylor]: Taking taylor expansion of 0 in y 8.250 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.253 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 8.253 * [backup-simplify]: Simplify 0 into 0 8.253 * [backup-simplify]: Simplify 0 into 0 8.253 * [backup-simplify]: Simplify 0 into 0 8.254 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 8.255 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 8.255 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 8.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 8.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.255 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.255 * [taylor]: Taking taylor expansion of x in y 8.255 * [backup-simplify]: Simplify x into x 8.255 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.255 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.255 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 8.255 * [taylor]: Taking taylor expansion of 3 in y 8.255 * [backup-simplify]: Simplify 3 into 3 8.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.255 * [taylor]: Taking taylor expansion of y in y 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify 1 into 1 8.256 * [backup-simplify]: Simplify (* 1 1) into 1 8.256 * [backup-simplify]: Simplify (/ 1 1) into 1 8.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 8.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.256 * [taylor]: Taking taylor expansion of x in x 8.256 * [backup-simplify]: Simplify 0 into 0 8.257 * [backup-simplify]: Simplify 1 into 1 8.257 * [backup-simplify]: Simplify (* 1 1) into 1 8.257 * [backup-simplify]: Simplify (/ 1 1) into 1 8.257 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 8.257 * [taylor]: Taking taylor expansion of 3 in x 8.257 * [backup-simplify]: Simplify 3 into 3 8.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.257 * [taylor]: Taking taylor expansion of y in x 8.257 * [backup-simplify]: Simplify y into y 8.258 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.258 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 8.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.258 * [taylor]: Taking taylor expansion of x in x 8.258 * [backup-simplify]: Simplify 0 into 0 8.258 * [backup-simplify]: Simplify 1 into 1 8.258 * [backup-simplify]: Simplify (* 1 1) into 1 8.261 * [backup-simplify]: Simplify (/ 1 1) into 1 8.262 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 8.262 * [taylor]: Taking taylor expansion of 3 in x 8.262 * [backup-simplify]: Simplify 3 into 3 8.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.262 * [taylor]: Taking taylor expansion of y in x 8.262 * [backup-simplify]: Simplify y into y 8.262 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.262 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.263 * [backup-simplify]: Simplify (+ 1 0) into 1 8.263 * [taylor]: Taking taylor expansion of 1 in y 8.263 * [backup-simplify]: Simplify 1 into 1 8.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.265 * [backup-simplify]: Simplify (+ 0 0) into 0 8.265 * [taylor]: Taking taylor expansion of 0 in y 8.265 * [backup-simplify]: Simplify 0 into 0 8.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.267 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 8.267 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 8.267 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 8.267 * [taylor]: Taking taylor expansion of 3 in y 8.267 * [backup-simplify]: Simplify 3 into 3 8.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.267 * [taylor]: Taking taylor expansion of y in y 8.267 * [backup-simplify]: Simplify 0 into 0 8.267 * [backup-simplify]: Simplify 1 into 1 8.268 * [backup-simplify]: Simplify (* 1 1) into 1 8.268 * [backup-simplify]: Simplify (/ 1 1) into 1 8.268 * [backup-simplify]: Simplify (* 3 1) into 3 8.268 * [backup-simplify]: Simplify 3 into 3 8.268 * [backup-simplify]: Simplify 1 into 1 8.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.270 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.271 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 8.272 * [backup-simplify]: Simplify (+ 0 0) into 0 8.272 * [taylor]: Taking taylor expansion of 0 in y 8.272 * [backup-simplify]: Simplify 0 into 0 8.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.274 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 8.274 * [backup-simplify]: Simplify 0 into 0 8.274 * [backup-simplify]: Simplify 0 into 0 8.274 * [backup-simplify]: Simplify 0 into 0 8.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.277 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.278 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.279 * [backup-simplify]: Simplify (+ 0 0) into 0 8.279 * [taylor]: Taking taylor expansion of 0 in y 8.279 * [backup-simplify]: Simplify 0 into 0 8.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.281 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 8.281 * [backup-simplify]: Simplify 0 into 0 8.281 * [backup-simplify]: Simplify 0 into 0 8.281 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 8.282 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 8.282 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (pow x 2) (* 2 (pow y 2))) 8.282 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 8.283 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 8.283 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.283 * [taylor]: Taking taylor expansion of x in y 8.283 * [backup-simplify]: Simplify x into x 8.283 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 8.283 * [taylor]: Taking taylor expansion of 2 in y 8.283 * [backup-simplify]: Simplify 2 into 2 8.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.283 * [taylor]: Taking taylor expansion of y in y 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 1 into 1 8.283 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 8.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.283 * [taylor]: Taking taylor expansion of x in x 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 1 into 1 8.283 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 8.283 * [taylor]: Taking taylor expansion of 2 in x 8.283 * [backup-simplify]: Simplify 2 into 2 8.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.283 * [taylor]: Taking taylor expansion of y in x 8.283 * [backup-simplify]: Simplify y into y 8.283 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 8.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.283 * [taylor]: Taking taylor expansion of x in x 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 1 into 1 8.283 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 8.283 * [taylor]: Taking taylor expansion of 2 in x 8.283 * [backup-simplify]: Simplify 2 into 2 8.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.283 * [taylor]: Taking taylor expansion of y in x 8.283 * [backup-simplify]: Simplify y into y 8.284 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.284 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 8.284 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 8.284 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 8.284 * [taylor]: Taking taylor expansion of 2 in y 8.284 * [backup-simplify]: Simplify 2 into 2 8.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.284 * [taylor]: Taking taylor expansion of y in y 8.284 * [backup-simplify]: Simplify 0 into 0 8.284 * [backup-simplify]: Simplify 1 into 1 8.284 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.285 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 8.285 * [backup-simplify]: Simplify (+ 0 0) into 0 8.285 * [taylor]: Taking taylor expansion of 0 in y 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify (* 1 1) into 1 8.286 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.286 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.287 * [backup-simplify]: Simplify (+ 1 0) into 1 8.287 * [taylor]: Taking taylor expansion of 1 in y 8.287 * [backup-simplify]: Simplify 1 into 1 8.287 * [backup-simplify]: Simplify 1 into 1 8.287 * [backup-simplify]: Simplify 0 into 0 8.287 * [backup-simplify]: Simplify (* 1 1) into 1 8.287 * [backup-simplify]: Simplify (* 2 1) into 2 8.287 * [backup-simplify]: Simplify 2 into 2 8.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.288 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.289 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.289 * [backup-simplify]: Simplify (+ 0 0) into 0 8.289 * [taylor]: Taking taylor expansion of 0 in y 8.289 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.290 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.290 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.291 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.292 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.293 * [backup-simplify]: Simplify (+ 0 0) into 0 8.293 * [taylor]: Taking taylor expansion of 0 in y 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 8.293 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 8.293 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 8.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 8.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.293 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.293 * [taylor]: Taking taylor expansion of x in y 8.293 * [backup-simplify]: Simplify x into x 8.293 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.293 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.294 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.294 * [taylor]: Taking taylor expansion of 2 in y 8.294 * [backup-simplify]: Simplify 2 into 2 8.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.294 * [taylor]: Taking taylor expansion of y in y 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify 1 into 1 8.294 * [backup-simplify]: Simplify (* 1 1) into 1 8.294 * [backup-simplify]: Simplify (/ 1 1) into 1 8.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 8.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.294 * [taylor]: Taking taylor expansion of x in x 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify 1 into 1 8.295 * [backup-simplify]: Simplify (* 1 1) into 1 8.295 * [backup-simplify]: Simplify (/ 1 1) into 1 8.295 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 8.295 * [taylor]: Taking taylor expansion of 2 in x 8.295 * [backup-simplify]: Simplify 2 into 2 8.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.295 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.295 * [taylor]: Taking taylor expansion of y in x 8.295 * [backup-simplify]: Simplify y into y 8.295 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.295 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 8.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.296 * [taylor]: Taking taylor expansion of x in x 8.296 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify 1 into 1 8.296 * [backup-simplify]: Simplify (* 1 1) into 1 8.296 * [backup-simplify]: Simplify (/ 1 1) into 1 8.296 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 8.296 * [taylor]: Taking taylor expansion of 2 in x 8.296 * [backup-simplify]: Simplify 2 into 2 8.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.296 * [taylor]: Taking taylor expansion of y in x 8.296 * [backup-simplify]: Simplify y into y 8.296 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.296 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.297 * [backup-simplify]: Simplify (+ 1 0) into 1 8.297 * [taylor]: Taking taylor expansion of 1 in y 8.297 * [backup-simplify]: Simplify 1 into 1 8.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.298 * [backup-simplify]: Simplify (+ 0 0) into 0 8.298 * [taylor]: Taking taylor expansion of 0 in y 8.298 * [backup-simplify]: Simplify 0 into 0 8.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.299 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 8.299 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 8.299 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.299 * [taylor]: Taking taylor expansion of 2 in y 8.299 * [backup-simplify]: Simplify 2 into 2 8.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.299 * [taylor]: Taking taylor expansion of y in y 8.299 * [backup-simplify]: Simplify 0 into 0 8.299 * [backup-simplify]: Simplify 1 into 1 8.300 * [backup-simplify]: Simplify (* 1 1) into 1 8.300 * [backup-simplify]: Simplify (/ 1 1) into 1 8.300 * [backup-simplify]: Simplify (* 2 1) into 2 8.300 * [backup-simplify]: Simplify 2 into 2 8.300 * [backup-simplify]: Simplify 1 into 1 8.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.301 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.302 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 8.302 * [backup-simplify]: Simplify (+ 0 0) into 0 8.302 * [taylor]: Taking taylor expansion of 0 in y 8.302 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.303 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.305 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.307 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.307 * [backup-simplify]: Simplify (+ 0 0) into 0 8.307 * [taylor]: Taking taylor expansion of 0 in y 8.307 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.310 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 8.311 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 8.311 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 8.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 8.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.311 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.312 * [taylor]: Taking taylor expansion of x in y 8.312 * [backup-simplify]: Simplify x into x 8.312 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.312 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.312 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.312 * [taylor]: Taking taylor expansion of 2 in y 8.312 * [backup-simplify]: Simplify 2 into 2 8.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.312 * [taylor]: Taking taylor expansion of y in y 8.312 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify 1 into 1 8.313 * [backup-simplify]: Simplify (* 1 1) into 1 8.313 * [backup-simplify]: Simplify (/ 1 1) into 1 8.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 8.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.313 * [taylor]: Taking taylor expansion of x in x 8.313 * [backup-simplify]: Simplify 0 into 0 8.313 * [backup-simplify]: Simplify 1 into 1 8.313 * [backup-simplify]: Simplify (* 1 1) into 1 8.314 * [backup-simplify]: Simplify (/ 1 1) into 1 8.314 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 8.314 * [taylor]: Taking taylor expansion of 2 in x 8.314 * [backup-simplify]: Simplify 2 into 2 8.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.314 * [taylor]: Taking taylor expansion of y in x 8.314 * [backup-simplify]: Simplify y into y 8.314 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.314 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 8.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.314 * [taylor]: Taking taylor expansion of x in x 8.314 * [backup-simplify]: Simplify 0 into 0 8.314 * [backup-simplify]: Simplify 1 into 1 8.315 * [backup-simplify]: Simplify (* 1 1) into 1 8.315 * [backup-simplify]: Simplify (/ 1 1) into 1 8.315 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 8.315 * [taylor]: Taking taylor expansion of 2 in x 8.315 * [backup-simplify]: Simplify 2 into 2 8.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.315 * [taylor]: Taking taylor expansion of y in x 8.315 * [backup-simplify]: Simplify y into y 8.315 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.316 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.316 * [backup-simplify]: Simplify (+ 1 0) into 1 8.316 * [taylor]: Taking taylor expansion of 1 in y 8.316 * [backup-simplify]: Simplify 1 into 1 8.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.318 * [backup-simplify]: Simplify (+ 0 0) into 0 8.318 * [taylor]: Taking taylor expansion of 0 in y 8.318 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.320 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 8.320 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 8.320 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.320 * [taylor]: Taking taylor expansion of 2 in y 8.320 * [backup-simplify]: Simplify 2 into 2 8.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.320 * [taylor]: Taking taylor expansion of y in y 8.320 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify 1 into 1 8.321 * [backup-simplify]: Simplify (* 1 1) into 1 8.321 * [backup-simplify]: Simplify (/ 1 1) into 1 8.322 * [backup-simplify]: Simplify (* 2 1) into 2 8.322 * [backup-simplify]: Simplify 2 into 2 8.322 * [backup-simplify]: Simplify 1 into 1 8.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.324 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.324 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 8.325 * [backup-simplify]: Simplify (+ 0 0) into 0 8.325 * [taylor]: Taking taylor expansion of 0 in y 8.325 * [backup-simplify]: Simplify 0 into 0 8.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.327 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.327 * [backup-simplify]: Simplify 0 into 0 8.327 * [backup-simplify]: Simplify 0 into 0 8.327 * [backup-simplify]: Simplify 0 into 0 8.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.330 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.331 * [backup-simplify]: Simplify (+ 0 0) into 0 8.331 * [taylor]: Taking taylor expansion of 0 in y 8.331 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.334 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.334 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 8.335 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 8.335 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 8.335 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 8.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 8.335 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.335 * [taylor]: Taking taylor expansion of x in y 8.335 * [backup-simplify]: Simplify x into x 8.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.335 * [taylor]: Taking taylor expansion of y in y 8.335 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify 1 into 1 8.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.335 * [taylor]: Taking taylor expansion of x in x 8.335 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify 1 into 1 8.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.335 * [taylor]: Taking taylor expansion of y in x 8.335 * [backup-simplify]: Simplify y into y 8.336 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.336 * [taylor]: Taking taylor expansion of x in x 8.336 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify 1 into 1 8.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.336 * [taylor]: Taking taylor expansion of y in x 8.336 * [backup-simplify]: Simplify y into y 8.336 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.336 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.336 * [taylor]: Taking taylor expansion of y in y 8.336 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify 1 into 1 8.336 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.337 * [backup-simplify]: Simplify (+ 0 0) into 0 8.337 * [taylor]: Taking taylor expansion of 0 in y 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify (* 1 1) into 1 8.338 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.338 * [backup-simplify]: Simplify (+ 1 0) into 1 8.338 * [taylor]: Taking taylor expansion of 1 in y 8.338 * [backup-simplify]: Simplify 1 into 1 8.338 * [backup-simplify]: Simplify 1 into 1 8.338 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify (* 1 1) into 1 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.340 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.341 * [backup-simplify]: Simplify (+ 0 0) into 0 8.341 * [taylor]: Taking taylor expansion of 0 in y 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.341 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.344 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.344 * [backup-simplify]: Simplify (+ 0 0) into 0 8.344 * [taylor]: Taking taylor expansion of 0 in y 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 8.345 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.345 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 8.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.345 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.345 * [taylor]: Taking taylor expansion of x in y 8.345 * [backup-simplify]: Simplify x into x 8.345 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.345 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.345 * [taylor]: Taking taylor expansion of y in y 8.345 * [backup-simplify]: Simplify 0 into 0 8.345 * [backup-simplify]: Simplify 1 into 1 8.346 * [backup-simplify]: Simplify (* 1 1) into 1 8.346 * [backup-simplify]: Simplify (/ 1 1) into 1 8.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.346 * [taylor]: Taking taylor expansion of x in x 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify 1 into 1 8.347 * [backup-simplify]: Simplify (* 1 1) into 1 8.347 * [backup-simplify]: Simplify (/ 1 1) into 1 8.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.347 * [taylor]: Taking taylor expansion of y in x 8.347 * [backup-simplify]: Simplify y into y 8.347 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.347 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.347 * [taylor]: Taking taylor expansion of x in x 8.348 * [backup-simplify]: Simplify 0 into 0 8.348 * [backup-simplify]: Simplify 1 into 1 8.348 * [backup-simplify]: Simplify (* 1 1) into 1 8.348 * [backup-simplify]: Simplify (/ 1 1) into 1 8.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.348 * [taylor]: Taking taylor expansion of y in x 8.348 * [backup-simplify]: Simplify y into y 8.348 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.349 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.349 * [backup-simplify]: Simplify (+ 1 0) into 1 8.349 * [taylor]: Taking taylor expansion of 1 in y 8.349 * [backup-simplify]: Simplify 1 into 1 8.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.351 * [backup-simplify]: Simplify (+ 0 0) into 0 8.351 * [taylor]: Taking taylor expansion of 0 in y 8.351 * [backup-simplify]: Simplify 0 into 0 8.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.353 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.353 * [taylor]: Taking taylor expansion of y in y 8.353 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify 1 into 1 8.353 * [backup-simplify]: Simplify (* 1 1) into 1 8.354 * [backup-simplify]: Simplify (/ 1 1) into 1 8.354 * [backup-simplify]: Simplify 1 into 1 8.354 * [backup-simplify]: Simplify 1 into 1 8.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.356 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.357 * [backup-simplify]: Simplify (+ 0 0) into 0 8.357 * [taylor]: Taking taylor expansion of 0 in y 8.357 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.358 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.359 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.360 * [backup-simplify]: Simplify (+ 0 0) into 0 8.360 * [taylor]: Taking taylor expansion of 0 in y 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 8.362 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.362 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 8.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.362 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.362 * [taylor]: Taking taylor expansion of x in y 8.362 * [backup-simplify]: Simplify x into x 8.362 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.362 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.362 * [taylor]: Taking taylor expansion of y in y 8.362 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify 1 into 1 8.362 * [backup-simplify]: Simplify (* 1 1) into 1 8.362 * [backup-simplify]: Simplify (/ 1 1) into 1 8.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.362 * [taylor]: Taking taylor expansion of x in x 8.362 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify 1 into 1 8.363 * [backup-simplify]: Simplify (* 1 1) into 1 8.363 * [backup-simplify]: Simplify (/ 1 1) into 1 8.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.363 * [taylor]: Taking taylor expansion of y in x 8.363 * [backup-simplify]: Simplify y into y 8.363 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.363 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.363 * [taylor]: Taking taylor expansion of x in x 8.363 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify 1 into 1 8.364 * [backup-simplify]: Simplify (* 1 1) into 1 8.364 * [backup-simplify]: Simplify (/ 1 1) into 1 8.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.364 * [taylor]: Taking taylor expansion of y in x 8.364 * [backup-simplify]: Simplify y into y 8.364 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.364 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.364 * [backup-simplify]: Simplify (+ 1 0) into 1 8.364 * [taylor]: Taking taylor expansion of 1 in y 8.364 * [backup-simplify]: Simplify 1 into 1 8.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.365 * [backup-simplify]: Simplify (+ 0 0) into 0 8.365 * [taylor]: Taking taylor expansion of 0 in y 8.365 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.367 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.367 * [taylor]: Taking taylor expansion of y in y 8.367 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify 1 into 1 8.367 * [backup-simplify]: Simplify (* 1 1) into 1 8.367 * [backup-simplify]: Simplify (/ 1 1) into 1 8.367 * [backup-simplify]: Simplify 1 into 1 8.367 * [backup-simplify]: Simplify 1 into 1 8.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.369 * [backup-simplify]: Simplify (+ 0 0) into 0 8.369 * [taylor]: Taking taylor expansion of 0 in y 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.372 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.372 * [backup-simplify]: Simplify (+ 0 0) into 0 8.372 * [taylor]: Taking taylor expansion of 0 in y 8.372 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.373 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 8.374 * * * [progress]: simplifying candidates 8.374 * [simplify]: Simplifying: (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 8.375 * * [simplify]: Extracting # 0 : cost 0 8.375 * * [simplify]: Extracting # 1 : cost 0 8.376 * * [simplify]: Extracting # 2 : cost 0 8.376 * * [simplify]: Extracting # 3 : cost 0 8.376 * * [simplify]: Extracting # 4 : cost 0 8.376 * * [simplify]: Extracting # 5 : cost 0 8.376 * * [simplify]: Extracting # 6 : cost 0 8.376 * * [simplify]: iteration 0 : 70 enodes (cost 791 ) 8.399 * * [simplify]: Extracting # 0 : cost 0 8.399 * * [simplify]: Extracting # 1 : cost 0 8.400 * * [simplify]: Extracting # 2 : cost 0 8.400 * * [simplify]: Extracting # 3 : cost 0 8.400 * * [simplify]: Extracting # 4 : cost 0 8.400 * * [simplify]: iteration 1 : 211 enodes (cost 667 ) 8.519 * * [simplify]: Extracting # 0 : cost 0 8.520 * * [simplify]: Extracting # 1 : cost 0 8.521 * * [simplify]: Extracting # 2 : cost 0 8.521 * * [simplify]: Extracting # 3 : cost 0 8.522 * * [simplify]: Extracting # 4 : cost 0 8.523 * * [simplify]: iteration 2 : 725 enodes (cost 591 ) 9.290 * * [simplify]: Extracting # 0 : cost 0 9.296 * * [simplify]: Extracting # 1 : cost 0 9.309 * * [simplify]: Extracting # 2 : cost 0 9.314 * * [simplify]: Extracting # 3 : cost 0 9.319 * * [simplify]: Extracting # 4 : cost 0 9.325 * * [simplify]: iteration 3 : 2852 enodes (cost 513 ) 10.764 * * [simplify]: Extracting # 0 : cost 0 10.770 * * [simplify]: Extracting # 1 : cost 0 10.775 * * [simplify]: Extracting # 2 : cost 0 10.791 * * [simplify]: Extracting # 3 : cost 0 10.797 * * [simplify]: Extracting # 4 : cost 0 10.802 * * [simplify]: iteration done: 5000 enodes (cost 513 ) 10.803 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (pow (+ (pow x 2) (* 2 (pow y 2))) 3) (pow y 6)) (+ (* (+ (pow x 2) (* 2 (pow y 2))) (+ (* x x) (* y y))) (pow y 4)) (* (+ (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* x x) (* y y)) (* 2 (pow y 2)) (exp (+ (pow x 2) (* 2 (pow y 2)))) (exp (+ (pow x 2) (* 2 (pow y 2)))) (log (+ (pow x 2) (* 2 (pow y 2)))) (exp (+ (pow x 2) (* 2 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (pow (+ (pow x 2) (* 2 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (+ (pow (+ (pow x 2) (pow y 2)) 3) (pow y 6)) (+ (+ (pow y 4) (* (* x x) (* y y))) (pow x 4)) (* (+ (pow x 2) (* 2 (pow y 2))) (* x x)) (* x x) (* 2 (pow y 2)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 10.803 * * * [progress]: adding candidates to table 10.964 * * [progress]: iteration 4 / 4 10.964 * * * [progress]: picking best candidate 10.978 * * * * [pick]: Picked # 10.978 * * * [progress]: localizing error 10.997 * * * [progress]: generating rewritten candidates 10.997 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 11.016 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 11.087 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 11.115 * * * [progress]: generating series expansions 11.115 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 11.116 * [backup-simplify]: Simplify (* (cbrt 3) (* y y)) into (* (cbrt 3) (pow y 2)) 11.116 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 11.116 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 11.116 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.116 * [taylor]: Taking taylor expansion of 3 in y 11.116 * [backup-simplify]: Simplify 3 into 3 11.117 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.118 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.118 * [taylor]: Taking taylor expansion of y in y 11.118 * [backup-simplify]: Simplify 0 into 0 11.118 * [backup-simplify]: Simplify 1 into 1 11.118 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 11.118 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.118 * [taylor]: Taking taylor expansion of 3 in y 11.118 * [backup-simplify]: Simplify 3 into 3 11.118 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.119 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.119 * [taylor]: Taking taylor expansion of y in y 11.119 * [backup-simplify]: Simplify 0 into 0 11.119 * [backup-simplify]: Simplify 1 into 1 11.119 * [backup-simplify]: Simplify (* 1 1) into 1 11.120 * [backup-simplify]: Simplify (* (cbrt 3) 1) into (cbrt 3) 11.121 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.122 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 1)) into 0 11.122 * [backup-simplify]: Simplify 0 into 0 11.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.125 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 1))) into 0 11.125 * [backup-simplify]: Simplify 0 into 0 11.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.130 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.130 * [backup-simplify]: Simplify 0 into 0 11.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.133 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.133 * [backup-simplify]: Simplify 0 into 0 11.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.135 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.135 * [backup-simplify]: Simplify 0 into 0 11.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.138 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.138 * [backup-simplify]: Simplify 0 into 0 11.138 * [backup-simplify]: Simplify (* (cbrt 3) (pow y 2)) into (* (cbrt 3) (pow y 2)) 11.140 * [backup-simplify]: Simplify (* (cbrt 3) (* (/ 1 y) (/ 1 y))) into (/ (cbrt 3) (pow y 2)) 11.140 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 11.140 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 11.140 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.140 * [taylor]: Taking taylor expansion of 3 in y 11.140 * [backup-simplify]: Simplify 3 into 3 11.140 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.140 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.140 * [taylor]: Taking taylor expansion of y in y 11.140 * [backup-simplify]: Simplify 0 into 0 11.140 * [backup-simplify]: Simplify 1 into 1 11.141 * [backup-simplify]: Simplify (* 1 1) into 1 11.141 * [backup-simplify]: Simplify (/ (cbrt 3) 1) into (cbrt 3) 11.141 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 11.141 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.141 * [taylor]: Taking taylor expansion of 3 in y 11.141 * [backup-simplify]: Simplify 3 into 3 11.142 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.142 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.142 * [taylor]: Taking taylor expansion of y in y 11.142 * [backup-simplify]: Simplify 0 into 0 11.142 * [backup-simplify]: Simplify 1 into 1 11.142 * [backup-simplify]: Simplify (* 1 1) into 1 11.143 * [backup-simplify]: Simplify (/ (cbrt 3) 1) into (cbrt 3) 11.143 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)))) into 0 11.144 * [backup-simplify]: Simplify 0 into 0 11.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.146 * [backup-simplify]: Simplify 0 into 0 11.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.148 * [backup-simplify]: Simplify 0 into 0 11.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.150 * [backup-simplify]: Simplify 0 into 0 11.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.152 * [backup-simplify]: Simplify 0 into 0 11.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.157 * [backup-simplify]: Simplify 0 into 0 11.158 * [backup-simplify]: Simplify (* (cbrt 3) (pow (/ 1 (/ 1 y)) 2)) into (* (cbrt 3) (pow y 2)) 11.158 * [backup-simplify]: Simplify (* (cbrt 3) (* (/ 1 (- y)) (/ 1 (- y)))) into (/ (cbrt 3) (pow y 2)) 11.158 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 11.158 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 11.158 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.158 * [taylor]: Taking taylor expansion of 3 in y 11.159 * [backup-simplify]: Simplify 3 into 3 11.159 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.160 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.160 * [taylor]: Taking taylor expansion of y in y 11.160 * [backup-simplify]: Simplify 0 into 0 11.160 * [backup-simplify]: Simplify 1 into 1 11.160 * [backup-simplify]: Simplify (* 1 1) into 1 11.161 * [backup-simplify]: Simplify (/ (cbrt 3) 1) into (cbrt 3) 11.161 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 11.161 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.161 * [taylor]: Taking taylor expansion of 3 in y 11.161 * [backup-simplify]: Simplify 3 into 3 11.161 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.162 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.162 * [taylor]: Taking taylor expansion of y in y 11.162 * [backup-simplify]: Simplify 0 into 0 11.162 * [backup-simplify]: Simplify 1 into 1 11.163 * [backup-simplify]: Simplify (* 1 1) into 1 11.164 * [backup-simplify]: Simplify (/ (cbrt 3) 1) into (cbrt 3) 11.164 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)))) into 0 11.166 * [backup-simplify]: Simplify 0 into 0 11.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.170 * [backup-simplify]: Simplify 0 into 0 11.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.173 * [backup-simplify]: Simplify 0 into 0 11.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.177 * [backup-simplify]: Simplify 0 into 0 11.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.179 * [backup-simplify]: Simplify 0 into 0 11.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.182 * [backup-simplify]: Simplify 0 into 0 11.182 * [backup-simplify]: Simplify (* (cbrt 3) (pow (/ 1 (/ 1 (- y))) 2)) into (* (cbrt 3) (pow y 2)) 11.182 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 11.183 * [backup-simplify]: Simplify (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) into (* (pow (cbrt 3) 3) (pow y 2)) 11.183 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 11.183 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 11.183 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.183 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.183 * [taylor]: Taking taylor expansion of 3 in y 11.183 * [backup-simplify]: Simplify 3 into 3 11.184 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.184 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.184 * [taylor]: Taking taylor expansion of y in y 11.184 * [backup-simplify]: Simplify 0 into 0 11.184 * [backup-simplify]: Simplify 1 into 1 11.184 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 11.184 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.184 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.184 * [taylor]: Taking taylor expansion of 3 in y 11.184 * [backup-simplify]: Simplify 3 into 3 11.184 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.185 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.185 * [taylor]: Taking taylor expansion of y in y 11.185 * [backup-simplify]: Simplify 0 into 0 11.185 * [backup-simplify]: Simplify 1 into 1 11.186 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.187 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.187 * [backup-simplify]: Simplify (* 1 1) into 1 11.188 * [backup-simplify]: Simplify (* (pow (cbrt 3) 3) 1) into 3 11.188 * [backup-simplify]: Simplify 3 into 3 11.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.189 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 11.189 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 11.190 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (* 0 1)) into 0 11.190 * [backup-simplify]: Simplify 0 into 0 11.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.192 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 11.193 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 11.193 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (* 0 1))) into 0 11.193 * [backup-simplify]: Simplify 0 into 0 11.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.195 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))) into 0 11.196 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))) into 0 11.197 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.197 * [backup-simplify]: Simplify 0 into 0 11.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.199 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))) into 0 11.200 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))) into 0 11.201 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.201 * [backup-simplify]: Simplify 0 into 0 11.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.203 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))))) into 0 11.205 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))))) into 0 11.206 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.206 * [backup-simplify]: Simplify 0 into 0 11.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.209 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))))) into 0 11.210 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))))) into 0 11.211 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.211 * [backup-simplify]: Simplify 0 into 0 11.211 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 11.212 * [backup-simplify]: Simplify (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (/ 1 y) (/ 1 y)))) into (/ (pow (cbrt 3) 3) (pow y 2)) 11.212 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 11.212 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 11.212 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.212 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.212 * [taylor]: Taking taylor expansion of 3 in y 11.212 * [backup-simplify]: Simplify 3 into 3 11.212 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.213 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.213 * [taylor]: Taking taylor expansion of y in y 11.213 * [backup-simplify]: Simplify 0 into 0 11.213 * [backup-simplify]: Simplify 1 into 1 11.214 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.216 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.217 * [backup-simplify]: Simplify (* 1 1) into 1 11.218 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 11.218 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 11.218 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.219 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.219 * [taylor]: Taking taylor expansion of 3 in y 11.219 * [backup-simplify]: Simplify 3 into 3 11.219 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.220 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.220 * [taylor]: Taking taylor expansion of y in y 11.220 * [backup-simplify]: Simplify 0 into 0 11.220 * [backup-simplify]: Simplify 1 into 1 11.221 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.223 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.223 * [backup-simplify]: Simplify (* 1 1) into 1 11.225 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 11.225 * [backup-simplify]: Simplify 3 into 3 11.226 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 11.227 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 11.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 11.228 * [backup-simplify]: Simplify 0 into 0 11.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.231 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 11.236 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 11.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.238 * [backup-simplify]: Simplify 0 into 0 11.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.241 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))) into 0 11.242 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))) into 0 11.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.244 * [backup-simplify]: Simplify 0 into 0 11.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.247 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))) into 0 11.249 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))) into 0 11.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.251 * [backup-simplify]: Simplify 0 into 0 11.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.254 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))))) into 0 11.256 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))))) into 0 11.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.259 * [backup-simplify]: Simplify 0 into 0 11.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.262 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))))) into 0 11.265 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))))) into 0 11.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.267 * [backup-simplify]: Simplify 0 into 0 11.268 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 11.270 * [backup-simplify]: Simplify (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (pow (cbrt 3) 3) (pow y 2)) 11.270 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 11.270 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 11.270 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.270 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.270 * [taylor]: Taking taylor expansion of 3 in y 11.270 * [backup-simplify]: Simplify 3 into 3 11.270 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.271 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.271 * [taylor]: Taking taylor expansion of y in y 11.271 * [backup-simplify]: Simplify 0 into 0 11.271 * [backup-simplify]: Simplify 1 into 1 11.272 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.274 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.275 * [backup-simplify]: Simplify (* 1 1) into 1 11.277 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 11.277 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 11.277 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.277 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.277 * [taylor]: Taking taylor expansion of 3 in y 11.277 * [backup-simplify]: Simplify 3 into 3 11.277 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.277 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.277 * [taylor]: Taking taylor expansion of y in y 11.277 * [backup-simplify]: Simplify 0 into 0 11.277 * [backup-simplify]: Simplify 1 into 1 11.278 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.280 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.280 * [backup-simplify]: Simplify (* 1 1) into 1 11.281 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 11.281 * [backup-simplify]: Simplify 3 into 3 11.282 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 11.282 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 11.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 11.283 * [backup-simplify]: Simplify 0 into 0 11.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.284 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 11.285 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 11.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.286 * [backup-simplify]: Simplify 0 into 0 11.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.288 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))) into 0 11.288 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))) into 0 11.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.290 * [backup-simplify]: Simplify 0 into 0 11.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.291 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))) into 0 11.292 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))) into 0 11.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.293 * [backup-simplify]: Simplify 0 into 0 11.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.295 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))))) into 0 11.296 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))))) into 0 11.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.297 * [backup-simplify]: Simplify 0 into 0 11.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.299 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))))) into 0 11.300 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))))) into 0 11.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.302 * [backup-simplify]: Simplify 0 into 0 11.302 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 11.302 * * * * [progress]: [ 3 / 3 ] generating series at (2) 11.303 * [backup-simplify]: Simplify (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) into (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) 11.303 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (x y) around 0 11.303 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 11.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.303 * [taylor]: Taking taylor expansion of x in y 11.303 * [backup-simplify]: Simplify x into x 11.303 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 11.303 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.303 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.303 * [taylor]: Taking taylor expansion of 3 in y 11.303 * [backup-simplify]: Simplify 3 into 3 11.304 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.304 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.304 * [taylor]: Taking taylor expansion of y in y 11.304 * [backup-simplify]: Simplify 0 into 0 11.304 * [backup-simplify]: Simplify 1 into 1 11.304 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 11.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.304 * [taylor]: Taking taylor expansion of x in x 11.304 * [backup-simplify]: Simplify 0 into 0 11.304 * [backup-simplify]: Simplify 1 into 1 11.304 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 11.304 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 11.304 * [taylor]: Taking taylor expansion of (cbrt 3) in x 11.305 * [taylor]: Taking taylor expansion of 3 in x 11.305 * [backup-simplify]: Simplify 3 into 3 11.305 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.305 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.305 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.305 * [taylor]: Taking taylor expansion of y in x 11.305 * [backup-simplify]: Simplify y into y 11.305 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 11.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.305 * [taylor]: Taking taylor expansion of x in x 11.305 * [backup-simplify]: Simplify 0 into 0 11.305 * [backup-simplify]: Simplify 1 into 1 11.305 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 11.305 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 11.306 * [taylor]: Taking taylor expansion of (cbrt 3) in x 11.306 * [taylor]: Taking taylor expansion of 3 in x 11.306 * [backup-simplify]: Simplify 3 into 3 11.306 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.306 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.306 * [taylor]: Taking taylor expansion of y in x 11.306 * [backup-simplify]: Simplify y into y 11.307 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.308 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.309 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.309 * [backup-simplify]: Simplify (* (pow (cbrt 3) 3) (pow y 2)) into (* 3 (pow y 2)) 11.309 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 11.309 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 11.309 * [taylor]: Taking taylor expansion of 3 in y 11.309 * [backup-simplify]: Simplify 3 into 3 11.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.309 * [taylor]: Taking taylor expansion of y in y 11.309 * [backup-simplify]: Simplify 0 into 0 11.309 * [backup-simplify]: Simplify 1 into 1 11.309 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.310 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 11.311 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 11.311 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (* 0 (pow y 2))) into 0 11.311 * [backup-simplify]: Simplify (+ 0 0) into 0 11.311 * [taylor]: Taking taylor expansion of 0 in y 11.311 * [backup-simplify]: Simplify 0 into 0 11.311 * [backup-simplify]: Simplify 0 into 0 11.312 * [backup-simplify]: Simplify (* 1 1) into 1 11.312 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.313 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 11.314 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 11.315 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 11.315 * [backup-simplify]: Simplify (+ 1 0) into 1 11.315 * [taylor]: Taking taylor expansion of 1 in y 11.315 * [backup-simplify]: Simplify 1 into 1 11.315 * [backup-simplify]: Simplify 1 into 1 11.315 * [backup-simplify]: Simplify 0 into 0 11.315 * [backup-simplify]: Simplify (* 1 1) into 1 11.315 * [backup-simplify]: Simplify (* 3 1) into 3 11.315 * [backup-simplify]: Simplify 3 into 3 11.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.316 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 11.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.319 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))) into 0 11.320 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))) into 0 11.322 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 11.322 * [backup-simplify]: Simplify (+ 0 0) into 0 11.322 * [taylor]: Taking taylor expansion of 0 in y 11.322 * [backup-simplify]: Simplify 0 into 0 11.322 * [backup-simplify]: Simplify 0 into 0 11.322 * [backup-simplify]: Simplify 0 into 0 11.322 * [backup-simplify]: Simplify 0 into 0 11.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.324 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 11.324 * [backup-simplify]: Simplify 0 into 0 11.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.326 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 11.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.329 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))) into 0 11.331 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))) into 0 11.332 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 11.333 * [backup-simplify]: Simplify (+ 0 0) into 0 11.333 * [taylor]: Taking taylor expansion of 0 in y 11.333 * [backup-simplify]: Simplify 0 into 0 11.333 * [backup-simplify]: Simplify 0 into 0 11.333 * [backup-simplify]: Simplify 0 into 0 11.333 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 11.335 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (/ 1 y) (/ 1 y))))) into (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) 11.335 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 11.335 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 11.335 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 11.335 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.336 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.336 * [taylor]: Taking taylor expansion of 3 in y 11.336 * [backup-simplify]: Simplify 3 into 3 11.336 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.337 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.337 * [taylor]: Taking taylor expansion of y in y 11.337 * [backup-simplify]: Simplify 0 into 0 11.337 * [backup-simplify]: Simplify 1 into 1 11.337 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.339 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.339 * [backup-simplify]: Simplify (* 1 1) into 1 11.340 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 11.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.340 * [taylor]: Taking taylor expansion of x in y 11.340 * [backup-simplify]: Simplify x into x 11.340 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.340 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.340 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 11.340 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 11.340 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 11.340 * [taylor]: Taking taylor expansion of (cbrt 3) in x 11.340 * [taylor]: Taking taylor expansion of 3 in x 11.340 * [backup-simplify]: Simplify 3 into 3 11.340 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.341 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.341 * [taylor]: Taking taylor expansion of y in x 11.341 * [backup-simplify]: Simplify y into y 11.342 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.343 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.343 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.344 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) (pow y 2)) into (/ 3 (pow y 2)) 11.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.344 * [taylor]: Taking taylor expansion of x in x 11.344 * [backup-simplify]: Simplify 0 into 0 11.344 * [backup-simplify]: Simplify 1 into 1 11.344 * [backup-simplify]: Simplify (* 1 1) into 1 11.344 * [backup-simplify]: Simplify (/ 1 1) into 1 11.344 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 11.344 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 11.344 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 11.344 * [taylor]: Taking taylor expansion of (cbrt 3) in x 11.344 * [taylor]: Taking taylor expansion of 3 in x 11.344 * [backup-simplify]: Simplify 3 into 3 11.345 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.345 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.345 * [taylor]: Taking taylor expansion of y in x 11.345 * [backup-simplify]: Simplify y into y 11.346 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.347 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.347 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.348 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) (pow y 2)) into (/ 3 (pow y 2)) 11.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.348 * [taylor]: Taking taylor expansion of x in x 11.348 * [backup-simplify]: Simplify 0 into 0 11.348 * [backup-simplify]: Simplify 1 into 1 11.348 * [backup-simplify]: Simplify (* 1 1) into 1 11.348 * [backup-simplify]: Simplify (/ 1 1) into 1 11.349 * [backup-simplify]: Simplify (+ 0 1) into 1 11.349 * [taylor]: Taking taylor expansion of 1 in y 11.349 * [backup-simplify]: Simplify 1 into 1 11.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.354 * [backup-simplify]: Simplify (+ 0 0) into 0 11.354 * [taylor]: Taking taylor expansion of 0 in y 11.354 * [backup-simplify]: Simplify 0 into 0 11.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.356 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 11.356 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 11.356 * [taylor]: Taking taylor expansion of 3 in y 11.356 * [backup-simplify]: Simplify 3 into 3 11.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.356 * [taylor]: Taking taylor expansion of y in y 11.356 * [backup-simplify]: Simplify 0 into 0 11.356 * [backup-simplify]: Simplify 1 into 1 11.356 * [backup-simplify]: Simplify (* 1 1) into 1 11.357 * [backup-simplify]: Simplify (/ 1 1) into 1 11.357 * [backup-simplify]: Simplify (* 3 1) into 3 11.357 * [backup-simplify]: Simplify 3 into 3 11.357 * [backup-simplify]: Simplify 1 into 1 11.357 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 11.358 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 11.358 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.359 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))))) into 0 11.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.361 * [backup-simplify]: Simplify (+ 0 0) into 0 11.361 * [taylor]: Taking taylor expansion of 0 in y 11.361 * [backup-simplify]: Simplify 0 into 0 11.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.362 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 11.362 * [backup-simplify]: Simplify 0 into 0 11.362 * [backup-simplify]: Simplify 0 into 0 11.362 * [backup-simplify]: Simplify 0 into 0 11.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.363 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 11.364 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 11.364 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.365 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 11.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.366 * [backup-simplify]: Simplify (+ 0 0) into 0 11.366 * [taylor]: Taking taylor expansion of 0 in y 11.366 * [backup-simplify]: Simplify 0 into 0 11.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.368 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 11.368 * [backup-simplify]: Simplify 0 into 0 11.368 * [backup-simplify]: Simplify 0 into 0 11.368 * [backup-simplify]: Simplify 0 into 0 11.368 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 11.369 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) 11.369 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 11.369 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 11.370 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 11.370 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.370 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.370 * [taylor]: Taking taylor expansion of 3 in y 11.370 * [backup-simplify]: Simplify 3 into 3 11.370 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.370 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.370 * [taylor]: Taking taylor expansion of y in y 11.370 * [backup-simplify]: Simplify 0 into 0 11.370 * [backup-simplify]: Simplify 1 into 1 11.371 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.372 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.373 * [backup-simplify]: Simplify (* 1 1) into 1 11.374 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 11.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.374 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.374 * [taylor]: Taking taylor expansion of x in y 11.374 * [backup-simplify]: Simplify x into x 11.374 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.374 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.374 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 11.374 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 11.374 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 11.374 * [taylor]: Taking taylor expansion of (cbrt 3) in x 11.374 * [taylor]: Taking taylor expansion of 3 in x 11.375 * [backup-simplify]: Simplify 3 into 3 11.375 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.375 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.376 * [taylor]: Taking taylor expansion of y in x 11.376 * [backup-simplify]: Simplify y into y 11.377 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.379 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.379 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.380 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) (pow y 2)) into (/ 3 (pow y 2)) 11.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.380 * [taylor]: Taking taylor expansion of x in x 11.380 * [backup-simplify]: Simplify 0 into 0 11.380 * [backup-simplify]: Simplify 1 into 1 11.380 * [backup-simplify]: Simplify (* 1 1) into 1 11.380 * [backup-simplify]: Simplify (/ 1 1) into 1 11.380 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 11.381 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 11.381 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 11.381 * [taylor]: Taking taylor expansion of (cbrt 3) in x 11.381 * [taylor]: Taking taylor expansion of 3 in x 11.381 * [backup-simplify]: Simplify 3 into 3 11.381 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.382 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.382 * [taylor]: Taking taylor expansion of y in x 11.382 * [backup-simplify]: Simplify y into y 11.383 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.385 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.385 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.386 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) (pow y 2)) into (/ 3 (pow y 2)) 11.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.386 * [taylor]: Taking taylor expansion of x in x 11.386 * [backup-simplify]: Simplify 0 into 0 11.386 * [backup-simplify]: Simplify 1 into 1 11.386 * [backup-simplify]: Simplify (* 1 1) into 1 11.387 * [backup-simplify]: Simplify (/ 1 1) into 1 11.387 * [backup-simplify]: Simplify (+ 0 1) into 1 11.387 * [taylor]: Taking taylor expansion of 1 in y 11.387 * [backup-simplify]: Simplify 1 into 1 11.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.389 * [backup-simplify]: Simplify (+ 0 0) into 0 11.389 * [taylor]: Taking taylor expansion of 0 in y 11.389 * [backup-simplify]: Simplify 0 into 0 11.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.391 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 11.391 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 11.391 * [taylor]: Taking taylor expansion of 3 in y 11.391 * [backup-simplify]: Simplify 3 into 3 11.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.391 * [taylor]: Taking taylor expansion of y in y 11.391 * [backup-simplify]: Simplify 0 into 0 11.391 * [backup-simplify]: Simplify 1 into 1 11.392 * [backup-simplify]: Simplify (* 1 1) into 1 11.392 * [backup-simplify]: Simplify (/ 1 1) into 1 11.392 * [backup-simplify]: Simplify (* 3 1) into 3 11.392 * [backup-simplify]: Simplify 3 into 3 11.392 * [backup-simplify]: Simplify 1 into 1 11.393 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 11.394 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 11.395 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.395 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))))) into 0 11.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.397 * [backup-simplify]: Simplify (+ 0 0) into 0 11.397 * [taylor]: Taking taylor expansion of 0 in y 11.397 * [backup-simplify]: Simplify 0 into 0 11.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.399 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 11.399 * [backup-simplify]: Simplify 0 into 0 11.399 * [backup-simplify]: Simplify 0 into 0 11.400 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.402 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 11.403 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 11.404 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.404 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 11.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.407 * [backup-simplify]: Simplify (+ 0 0) into 0 11.407 * [taylor]: Taking taylor expansion of 0 in y 11.407 * [backup-simplify]: Simplify 0 into 0 11.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.410 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 11.410 * [backup-simplify]: Simplify 0 into 0 11.410 * [backup-simplify]: Simplify 0 into 0 11.410 * [backup-simplify]: Simplify 0 into 0 11.411 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 11.411 * * * [progress]: simplifying candidates 11.413 * [simplify]: Simplifying: (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (+ (log (cbrt 3)) (+ (log y) (log y))) (+ (log (cbrt 3)) (log (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* 3 (* (* (* y y) y) (* (* y y) y))) (* 3 (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) (* y y)) (* (cbrt (sqrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (+ (log y) (log y)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (log (* y y)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (log (* (cbrt 3) (* y y)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (+ (log y) (log y)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (log (* y y)))) (+ (log (* (cbrt 3) (cbrt 3))) (log (* (cbrt 3) (* y y)))) (log (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* 3 3) (* 3 (* (* (* y y) y) (* (* y y) y)))) (* (* 3 3) (* 3 (* (* (* y y) (* y y)) (* y y)))) (* (* 3 3) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* y y) y) (* (* y y) y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* y y) (* y y)) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)))) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (cbrt 3)) (* (cbrt 3) (* (cbrt 3) (* y y))) (* (exp (* x x)) (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (log (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (exp (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (* (cbrt (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))))) (cbrt (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (* (* (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (sqrt (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (sqrt (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (+ (pow (* x x) 3) (pow (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) 3)) (+ (* (* x x) (* x x)) (- (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))))) (- (* (* x x) (* x x)) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (- (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 11.416 * * [simplify]: Extracting # 0 : cost 0 11.416 * * [simplify]: Extracting # 1 : cost 0 11.416 * * [simplify]: Extracting # 2 : cost 0 11.416 * * [simplify]: Extracting # 3 : cost 0 11.416 * * [simplify]: Extracting # 4 : cost 0 11.417 * * [simplify]: Extracting # 5 : cost 0 11.417 * * [simplify]: Extracting # 6 : cost 0 11.417 * * [simplify]: iteration 0 : 89 enodes (cost 1026 ) 11.460 * * [simplify]: Extracting # 0 : cost 0 11.460 * * [simplify]: Extracting # 1 : cost 0 11.461 * * [simplify]: Extracting # 2 : cost 0 11.461 * * [simplify]: Extracting # 3 : cost 0 11.462 * * [simplify]: Extracting # 4 : cost 0 11.462 * * [simplify]: iteration 1 : 238 enodes (cost 960 ) 11.635 * * [simplify]: Extracting # 0 : cost 0 11.636 * * [simplify]: Extracting # 1 : cost 0 11.637 * * [simplify]: Extracting # 2 : cost 0 11.638 * * [simplify]: Extracting # 3 : cost 0 11.639 * * [simplify]: Extracting # 4 : cost 0 11.640 * * [simplify]: iteration 2 : 874 enodes (cost 660 ) 13.183 * * [simplify]: Extracting # 0 : cost 0 13.193 * * [simplify]: Extracting # 1 : cost 0 13.196 * * [simplify]: Extracting # 2 : cost 0 13.199 * * [simplify]: Extracting # 3 : cost 0 13.202 * * [simplify]: Extracting # 4 : cost 0 13.206 * * [simplify]: iteration 3 : 3497 enodes (cost 507 ) 15.106 * * [simplify]: Extracting # 0 : cost 0 15.119 * * [simplify]: Extracting # 1 : cost 0 15.128 * * [simplify]: Extracting # 2 : cost 0 15.138 * * [simplify]: Extracting # 3 : cost 0 15.147 * * [simplify]: Extracting # 4 : cost 0 15.155 * * [simplify]: iteration done: 5000 enodes (cost 507 ) 15.156 * [simplify]: Simplified to: (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* 3 (pow y 6)) (* 3 (pow y 6)) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* 3 (pow y 6)) (sqrt (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) (* y y)) (* (cbrt (sqrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (pow y 6) 27) (* (pow y 6) 27) (* (pow y 6) 27) (* (pow y 6) 27) (* (pow y 6) 27) (* (pow y 6) 27) (* (cbrt (* 3 (pow y 2))) (cbrt (* 3 (pow y 2)))) (cbrt (* 3 (pow y 2))) (* (pow y 6) 27) (sqrt (* 3 (pow y 2))) (sqrt (* 3 (pow y 2))) 3 (* (cbrt 3) (* (cbrt 3) (* y y))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (* (pow y 6) 27) (pow x 6)) (+ (* (* 3 (* y y)) (- (* 3 (* y y)) (* x x))) (pow x 4)) (- (pow x 4) (* 9 (pow y 4))) (- (* x x) (* 3 (pow y 2))) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 15.157 * * * [progress]: adding candidates to table 15.356 * [progress]: [Phase 3 of 3] Extracting. 15.356 * * [regime]: Finding splitpoints for: (# # # # # #) 15.358 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 15.358 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 15.392 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 15.418 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 15.458 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # #) 15.490 * * * * [regimes]: Trying to branch on y from (# # # # # #) 15.515 * * * * [regimes]: Trying to branch on x from (# # # # # #) 15.551 * * * [regime]: Found split indices: #