26.670 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.032 * * [simplify]: Extracting # 0 : cost 0 0.032 * * [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]: Extracting # 5 : cost 0 0.033 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.037 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: Extracting # 1 : cost 0 0.038 * * [simplify]: Extracting # 2 : cost 0 0.038 * * [simplify]: iteration 2 : 12 enodes (cost 7 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: iteration 3 : 13 enodes (cost 7 ) 0.045 * * [simplify]: Extracting # 0 : cost 0 0.045 * * [simplify]: iteration done: 13 enodes (cost 7 ) 0.046 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.125 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.134 * * * [progress]: generating series expansions 0.134 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.134 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.134 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [backup-simplify]: Simplify x into x 0.134 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.134 * [taylor]: Taking taylor expansion of 2 in y 0.134 * [backup-simplify]: Simplify 2 into 2 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.134 * [taylor]: Taking taylor expansion of 2 in x 0.134 * [backup-simplify]: Simplify 2 into 2 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.135 * [taylor]: Taking taylor expansion of 2 in x 0.135 * [backup-simplify]: Simplify 2 into 2 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.135 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.135 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.135 * [taylor]: Taking taylor expansion of 2 in y 0.135 * [backup-simplify]: Simplify 2 into 2 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 2 0) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.137 * [backup-simplify]: Simplify 2 into 2 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.138 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [taylor]: Taking taylor expansion of 1 in y 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.142 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.142 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [backup-simplify]: Simplify x into x 0.142 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.142 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.142 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.142 * [taylor]: Taking taylor expansion of 2 in y 0.142 * [backup-simplify]: Simplify 2 into 2 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.143 * [taylor]: Taking taylor expansion of 2 in x 0.143 * [backup-simplify]: Simplify 2 into 2 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.144 * [taylor]: Taking taylor expansion of 2 in x 0.144 * [backup-simplify]: Simplify 2 into 2 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [taylor]: Taking taylor expansion of 1 in y 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.149 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.149 * [taylor]: Taking taylor expansion of 2 in y 0.149 * [backup-simplify]: Simplify 2 into 2 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [backup-simplify]: Simplify (* 2 1) into 2 0.150 * [backup-simplify]: Simplify 2 into 2 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) 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 0.160 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.160 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.160 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.160 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [backup-simplify]: Simplify x into x 0.161 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.161 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.161 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.161 * [taylor]: Taking taylor expansion of 2 in y 0.161 * [backup-simplify]: Simplify 2 into 2 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.163 * [taylor]: Taking taylor expansion of 2 in x 0.163 * [backup-simplify]: Simplify 2 into 2 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [backup-simplify]: Simplify y into y 0.163 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.164 * [taylor]: Taking taylor expansion of 2 in x 0.164 * [backup-simplify]: Simplify 2 into 2 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [taylor]: Taking taylor expansion of 1 in y 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.169 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.169 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.169 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.169 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.169 * [taylor]: Taking taylor expansion of 2 in y 0.169 * [backup-simplify]: Simplify 2 into 2 0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify (* 2 1) into 2 0.171 * [backup-simplify]: Simplify (- 2) into -2 0.171 * [backup-simplify]: Simplify -2 into -2 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.180 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.181 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.181 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.181 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [backup-simplify]: Simplify x into x 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.182 * [backup-simplify]: Simplify (+ 0 y) into y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (* 1 1) into 1 0.183 * [backup-simplify]: Simplify (+ 1 0) into 1 0.183 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.185 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.185 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.186 * [backup-simplify]: Simplify x into x 0.186 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.186 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.186 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (* 1 1) into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [backup-simplify]: Simplify y into y 0.187 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (* 1 1) into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [backup-simplify]: Simplify y into y 0.188 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [taylor]: Taking taylor expansion of 1 in y 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.200 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.200 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [backup-simplify]: Simplify x into x 0.200 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.201 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (* 1 1) into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.202 * [taylor]: Taking taylor expansion of y in x 0.202 * [backup-simplify]: Simplify y into y 0.202 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.202 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [backup-simplify]: Simplify y into y 0.203 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [taylor]: Taking taylor expansion of 1 in y 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.206 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.206 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [backup-simplify]: Simplify (- 1) into -1 0.206 * [backup-simplify]: Simplify -1 into -1 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.208 * [backup-simplify]: Simplify (- 0) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.214 * * * [progress]: simplifying candidates 0.214 * [simplify]: Simplifying: (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp 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) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.215 * * [simplify]: Extracting # 0 : cost 0 0.215 * * [simplify]: Extracting # 1 : cost 0 0.215 * * [simplify]: Extracting # 2 : cost 0 0.215 * * [simplify]: Extracting # 3 : cost 0 0.215 * * [simplify]: Extracting # 4 : cost 0 0.215 * * [simplify]: Extracting # 5 : cost 0 0.215 * * [simplify]: Extracting # 6 : cost 0 0.215 * * [simplify]: iteration 0 : 48 enodes (cost 310 ) 0.226 * * [simplify]: Extracting # 0 : cost 0 0.226 * * [simplify]: Extracting # 1 : cost 0 0.226 * * [simplify]: Extracting # 2 : cost 0 0.226 * * [simplify]: Extracting # 3 : cost 0 0.226 * * [simplify]: Extracting # 4 : cost 0 0.227 * * [simplify]: iteration 1 : 134 enodes (cost 292 ) 0.266 * * [simplify]: Extracting # 0 : cost 0 0.267 * * [simplify]: Extracting # 1 : cost 0 0.267 * * [simplify]: Extracting # 2 : cost 0 0.267 * * [simplify]: Extracting # 3 : cost 0 0.268 * * [simplify]: Extracting # 4 : cost 0 0.268 * * [simplify]: iteration 2 : 387 enodes (cost 262 ) 0.503 * * [simplify]: Extracting # 0 : cost 0 0.505 * * [simplify]: Extracting # 1 : cost 0 0.506 * * [simplify]: Extracting # 2 : cost 0 0.507 * * [simplify]: Extracting # 3 : cost 0 0.508 * * [simplify]: Extracting # 4 : cost 0 0.509 * * [simplify]: iteration 3 : 1187 enodes (cost 252 ) 1.620 * * [simplify]: Extracting # 0 : cost 0 1.640 * * [simplify]: Extracting # 1 : cost 0 1.651 * * [simplify]: Extracting # 2 : cost 0 1.661 * * [simplify]: Extracting # 3 : cost 0 1.672 * * [simplify]: Extracting # 4 : cost 0 1.683 * * [simplify]: iteration done: 5000 enodes (cost 250 ) 1.683 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 2 y))) (exp (+ (pow x 2) (* 2 y))) (log (+ (+ (* x x) y) y)) (exp (+ (pow x 2) (* 2 y))) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (pow (+ (pow x 2) (* 2 y)) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) y) (pow x 4)) (* (* x x) (+ (pow x 2) (* 2 y))) (* x x) (+ (pow x 2) (* 2 y)) (* 2 y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (pow x 2) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow x 6) (pow y 3)) (+ (* y (- y (* x x))) (pow x 4)) (- (pow x 4) (* y y)) (- (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 1.683 * * * [progress]: adding candidates to table 1.794 * * [progress]: iteration 2 / 4 1.794 * * * [progress]: picking best candidate 1.795 * * * * [pick]: Picked # 1.795 * * * [progress]: localizing error 1.801 * * * [progress]: generating rewritten candidates 1.801 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.809 * * * [progress]: generating series expansions 1.809 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.809 * [backup-simplify]: Simplify (+ (* x x) (* 2 y)) into (+ (pow x 2) (* 2 y)) 1.809 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 1.809 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 1.809 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.809 * [taylor]: Taking taylor expansion of x in y 1.809 * [backup-simplify]: Simplify x into x 1.809 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.809 * [taylor]: Taking taylor expansion of 2 in y 1.809 * [backup-simplify]: Simplify 2 into 2 1.809 * [taylor]: Taking taylor expansion of y in y 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.809 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 1.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.810 * [taylor]: Taking taylor expansion of x in x 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [taylor]: Taking taylor expansion of (* 2 y) in x 1.810 * [taylor]: Taking taylor expansion of 2 in x 1.810 * [backup-simplify]: Simplify 2 into 2 1.810 * [taylor]: Taking taylor expansion of y in x 1.810 * [backup-simplify]: Simplify y into y 1.810 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 1.810 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.810 * [taylor]: Taking taylor expansion of x in x 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [taylor]: Taking taylor expansion of (* 2 y) in x 1.810 * [taylor]: Taking taylor expansion of 2 in x 1.810 * [backup-simplify]: Simplify 2 into 2 1.810 * [taylor]: Taking taylor expansion of y in x 1.810 * [backup-simplify]: Simplify y into y 1.810 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 1.810 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.810 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.810 * [taylor]: Taking taylor expansion of 2 in y 1.810 * [backup-simplify]: Simplify 2 into 2 1.810 * [taylor]: Taking taylor expansion of y in y 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [backup-simplify]: Simplify (* 2 0) into 0 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 1.811 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [taylor]: Taking taylor expansion of 0 in y 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.812 * [backup-simplify]: Simplify 2 into 2 1.812 * [backup-simplify]: Simplify (* 1 1) into 1 1.812 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 1.813 * [backup-simplify]: Simplify (+ 1 0) into 1 1.813 * [taylor]: Taking taylor expansion of 1 in y 1.813 * [backup-simplify]: Simplify 1 into 1 1.813 * [backup-simplify]: Simplify 1 into 1 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.813 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.814 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.815 * [backup-simplify]: Simplify (+ 0 0) into 0 1.815 * [taylor]: Taking taylor expansion of 0 in y 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 1.816 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* 2 (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1.816 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 1.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 1.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.816 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.816 * [taylor]: Taking taylor expansion of x in y 1.816 * [backup-simplify]: Simplify x into x 1.816 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.816 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.816 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.816 * [taylor]: Taking taylor expansion of 2 in y 1.816 * [backup-simplify]: Simplify 2 into 2 1.816 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.816 * [taylor]: Taking taylor expansion of y in y 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify (/ 1 1) into 1 1.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.816 * [taylor]: Taking taylor expansion of x in x 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (* 1 1) into 1 1.817 * [backup-simplify]: Simplify (/ 1 1) into 1 1.817 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.817 * [taylor]: Taking taylor expansion of 2 in x 1.817 * [backup-simplify]: Simplify 2 into 2 1.817 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.817 * [taylor]: Taking taylor expansion of y in x 1.817 * [backup-simplify]: Simplify y into y 1.817 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.817 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (* 1 1) into 1 1.817 * [backup-simplify]: Simplify (/ 1 1) into 1 1.817 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.818 * [taylor]: Taking taylor expansion of 2 in x 1.818 * [backup-simplify]: Simplify 2 into 2 1.818 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.818 * [taylor]: Taking taylor expansion of y in x 1.818 * [backup-simplify]: Simplify y into y 1.818 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.818 * [backup-simplify]: Simplify (+ 1 0) into 1 1.818 * [taylor]: Taking taylor expansion of 1 in y 1.818 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.819 * [backup-simplify]: Simplify (+ 0 0) into 0 1.819 * [taylor]: Taking taylor expansion of 0 in y 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.820 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.820 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.820 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.820 * [taylor]: Taking taylor expansion of 2 in y 1.820 * [backup-simplify]: Simplify 2 into 2 1.820 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.821 * [taylor]: Taking taylor expansion of y in y 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (/ 1 1) into 1 1.821 * [backup-simplify]: Simplify (* 2 1) into 2 1.821 * [backup-simplify]: Simplify 2 into 2 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.823 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.823 * [taylor]: Taking taylor expansion of 0 in y 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.824 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.827 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.827 * [backup-simplify]: Simplify (+ 0 0) into 0 1.827 * [taylor]: Taking taylor expansion of 0 in y 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 1.828 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* 2 (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1.828 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 1.828 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.828 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.828 * [taylor]: Taking taylor expansion of x in y 1.828 * [backup-simplify]: Simplify x into x 1.828 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.828 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.828 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.829 * [taylor]: Taking taylor expansion of 2 in y 1.829 * [backup-simplify]: Simplify 2 into 2 1.829 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.829 * [taylor]: Taking taylor expansion of y in y 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 1 into 1 1.829 * [backup-simplify]: Simplify (/ 1 1) into 1 1.829 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.829 * [taylor]: Taking taylor expansion of x in x 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 1 into 1 1.835 * [backup-simplify]: Simplify (* 1 1) into 1 1.835 * [backup-simplify]: Simplify (/ 1 1) into 1 1.835 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.835 * [taylor]: Taking taylor expansion of 2 in x 1.835 * [backup-simplify]: Simplify 2 into 2 1.836 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.836 * [taylor]: Taking taylor expansion of y in x 1.836 * [backup-simplify]: Simplify y into y 1.836 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.836 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.836 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (* 1 1) into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.837 * [taylor]: Taking taylor expansion of 2 in x 1.837 * [backup-simplify]: Simplify 2 into 2 1.837 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.837 * [taylor]: Taking taylor expansion of y in x 1.837 * [backup-simplify]: Simplify y into y 1.837 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.837 * [backup-simplify]: Simplify (+ 1 0) into 1 1.838 * [taylor]: Taking taylor expansion of 1 in y 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.840 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [taylor]: Taking taylor expansion of 0 in y 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.842 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.842 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 1.842 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 1.842 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 1.842 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.842 * [taylor]: Taking taylor expansion of 2 in y 1.842 * [backup-simplify]: Simplify 2 into 2 1.842 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.842 * [taylor]: Taking taylor expansion of y in y 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (/ 1 1) into 1 1.843 * [backup-simplify]: Simplify (* 2 1) into 2 1.843 * [backup-simplify]: Simplify (- 2) into -2 1.844 * [backup-simplify]: Simplify -2 into -2 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.846 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.847 * [backup-simplify]: Simplify (- 0) into 0 1.847 * [backup-simplify]: Simplify (+ 0 0) into 0 1.847 * [taylor]: Taking taylor expansion of 0 in y 1.847 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.849 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.849 * [backup-simplify]: Simplify (- 0) into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.853 * [backup-simplify]: Simplify (- 0) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [taylor]: Taking taylor expansion of 0 in y 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 1.854 * * * [progress]: simplifying candidates 1.854 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* 2 y))) (log (+ (* x x) (* 2 y))) (exp (+ (* x x) (* 2 y))) (* (cbrt (+ (* x x) (* 2 y))) (cbrt (+ (* x x) (* 2 y)))) (cbrt (+ (* x x) (* 2 y))) (* (* (+ (* x x) (* 2 y)) (+ (* x x) (* 2 y))) (+ (* x x) (* 2 y))) (sqrt (+ (* x x) (* 2 y))) (sqrt (+ (* x x) (* 2 y))) (+ (pow (* x x) 3) (pow (* 2 y) 3)) (+ (* (* x x) (* x x)) (- (* (* 2 y) (* 2 y)) (* (* x x) (* 2 y)))) (- (* (* x x) (* x x)) (* (* 2 y) (* 2 y))) (- (* x x) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 1.855 * * [simplify]: Extracting # 0 : cost 0 1.855 * * [simplify]: Extracting # 1 : cost 0 1.855 * * [simplify]: Extracting # 2 : cost 0 1.855 * * [simplify]: Extracting # 3 : cost 0 1.855 * * [simplify]: Extracting # 4 : cost 0 1.855 * * [simplify]: Extracting # 5 : cost 0 1.855 * * [simplify]: iteration 0 : 29 enodes (cost 166 ) 1.871 * * [simplify]: Extracting # 0 : cost 0 1.872 * * [simplify]: Extracting # 1 : cost 0 1.872 * * [simplify]: Extracting # 2 : cost 0 1.872 * * [simplify]: Extracting # 3 : cost 0 1.872 * * [simplify]: Extracting # 4 : cost 0 1.873 * * [simplify]: iteration 1 : 99 enodes (cost 159 ) 1.922 * * [simplify]: Extracting # 0 : cost 0 1.922 * * [simplify]: Extracting # 1 : cost 0 1.923 * * [simplify]: Extracting # 2 : cost 0 1.923 * * [simplify]: Extracting # 3 : cost 0 1.924 * * [simplify]: Extracting # 4 : cost 0 1.924 * * [simplify]: iteration 2 : 311 enodes (cost 135 ) 2.183 * * [simplify]: Extracting # 0 : cost 0 2.185 * * [simplify]: Extracting # 1 : cost 0 2.187 * * [simplify]: Extracting # 2 : cost 0 2.188 * * [simplify]: Extracting # 3 : cost 0 2.190 * * [simplify]: Extracting # 4 : cost 0 2.191 * * [simplify]: iteration 3 : 780 enodes (cost 135 ) 2.839 * * [simplify]: Extracting # 0 : cost 0 2.841 * * [simplify]: Extracting # 1 : cost 0 2.843 * * [simplify]: Extracting # 2 : cost 0 2.844 * * [simplify]: Extracting # 3 : cost 0 2.846 * * [simplify]: Extracting # 4 : cost 0 2.848 * * [simplify]: iteration 4 : 1999 enodes (cost 135 ) 4.673 * * [simplify]: Extracting # 0 : cost 0 4.690 * * [simplify]: Extracting # 1 : cost 0 4.698 * * [simplify]: Extracting # 2 : cost 0 4.706 * * [simplify]: Extracting # 3 : cost 0 4.713 * * [simplify]: Extracting # 4 : cost 0 4.721 * * [simplify]: iteration done: 5000 enodes (cost 135 ) 4.722 * [simplify]: Simplified to: (exp (+ (* x x) (* 2 y))) (log (+ (* x x) (* 2 y))) (exp (+ (* x x) (* 2 y))) (* (cbrt (+ (* x x) (* 2 y))) (cbrt (+ (* x x) (* 2 y)))) (cbrt (+ (* x x) (* 2 y))) (pow (+ (* x x) (* 2 y)) 3) (sqrt (+ (* x x) (* 2 y))) (sqrt (+ (* x x) (* 2 y))) (+ (pow (* 2 y) 3) (pow x 6)) (+ (pow x 4) (* (* 2 y) (- (* 2 y) (* x x)))) (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)) (+ (* x x) (* 2 y)) (+ (* x x) (* 2 y)) (+ (* x x) (* 2 y)) 4.722 * * * [progress]: adding candidates to table 4.766 * [progress]: [Phase 3 of 3] Extracting. 4.766 * * [regime]: Finding splitpoints for: (# #) 4.766 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 4.767 * * * * [regimes]: Trying to branch on (* x x) from (# #) 4.790 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 4.809 * * * * [regimes]: Trying to branch on y from (# #) 4.820 * * * * [regimes]: Trying to branch on x from (# #) 4.832 * * * [regime]: Found split indices: #