91.082 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: Extracting # 1 : cost 0 0.042 * * [simplify]: Extracting # 2 : cost 0 0.042 * * [simplify]: Extracting # 3 : cost 0 0.042 * * [simplify]: Extracting # 4 : cost 0 0.042 * * [simplify]: Extracting # 5 : cost 0 0.042 * * [simplify]: Extracting # 6 : cost 0 0.042 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.044 * * [simplify]: Extracting # 0 : cost 0 0.044 * * [simplify]: Extracting # 1 : cost 0 0.044 * * [simplify]: Extracting # 2 : cost 0 0.044 * * [simplify]: iteration 1 : 17 enodes (cost 13 ) 0.049 * * [simplify]: Extracting # 0 : cost 0 0.049 * * [simplify]: Extracting # 1 : cost 0 0.050 * * [simplify]: Extracting # 2 : cost 0 0.050 * * [simplify]: iteration 2 : 37 enodes (cost 11 ) 0.060 * * [simplify]: Extracting # 0 : cost 0 0.060 * * [simplify]: iteration 3 : 45 enodes (cost 11 ) 0.071 * * [simplify]: Extracting # 0 : cost 0 0.072 * * [simplify]: iteration done: 45 enodes (cost 11 ) 0.072 * [simplify]: Simplified to: (+ (* y y) (* x (+ (* 2.0 y) x))) 0.075 * * [progress]: iteration 1 / 4 0.075 * * * [progress]: picking best candidate 0.077 * * * * [pick]: Picked # 0.077 * * * [progress]: localizing error 0.101 * * * [progress]: generating rewritten candidates 0.101 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.134 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.150 * * * [progress]: generating series expansions 0.150 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.150 * [backup-simplify]: Simplify (* x (+ (* 2.0 y) x)) into (* x (+ x (* 2.0 y))) 0.150 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.150 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [backup-simplify]: Simplify x into x 0.150 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [backup-simplify]: Simplify x into x 0.150 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.150 * [taylor]: Taking taylor expansion of 2.0 in y 0.150 * [backup-simplify]: Simplify 2.0 into 2.0 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 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.150 * [taylor]: Taking taylor expansion of 2.0 in x 0.150 * [backup-simplify]: Simplify 2.0 into 2.0 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.151 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.151 * [taylor]: Taking taylor expansion of 2.0 in x 0.151 * [backup-simplify]: Simplify 2.0 into 2.0 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [backup-simplify]: Simplify y into y 0.151 * [backup-simplify]: Simplify (* 2.0 y) into (* 2.0 y) 0.151 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.151 * [backup-simplify]: Simplify (* 0 (* 2.0 y)) 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 0.152 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 y)) into 0 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2.0 y))) into (* 2.0 y) 0.153 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.153 * [taylor]: Taking taylor expansion of 2.0 in y 0.153 * [backup-simplify]: Simplify 2.0 into 2.0 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 y))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2.0 y)))) into 1 0.155 * [taylor]: Taking taylor expansion of 1 in y 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.156 * [backup-simplify]: Simplify 2.0 into 2.0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2.0 y))))) 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 0.160 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2.0 y)))))) into 0 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.163 * [backup-simplify]: Simplify (* (/ 1 x) (+ (* 2.0 (/ 1 y)) (/ 1 x))) into (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) 0.163 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.163 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.163 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.163 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.163 * [taylor]: Taking taylor expansion of 2.0 in y 0.163 * [backup-simplify]: Simplify 2.0 into 2.0 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [backup-simplify]: Simplify x into x 0.164 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [backup-simplify]: Simplify x into x 0.164 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.165 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.165 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.165 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.165 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.165 * [taylor]: Taking taylor expansion of 2.0 in x 0.165 * [backup-simplify]: Simplify 2.0 into 2.0 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.165 * [backup-simplify]: Simplify y into y 0.165 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 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 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (+ 0 1) into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.166 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.166 * [taylor]: Taking taylor expansion of 2.0 in x 0.166 * [backup-simplify]: Simplify 2.0 into 2.0 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [backup-simplify]: Simplify y into y 0.167 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (+ 0 1) into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [taylor]: Taking taylor expansion of 1 in y 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ (/ 2.0 y) 0) into (* 2.0 (/ 1 y)) 0.169 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y)) 0.169 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.169 * [taylor]: Taking taylor expansion of 2.0 in y 0.169 * [backup-simplify]: Simplify 2.0 into 2.0 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.170 * [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 0.170 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.170 * [backup-simplify]: Simplify 2.0 into 2.0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) 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 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 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 (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.178 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) 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 (+ 0 0) into 0 0.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.182 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (* 2.0 (/ 1 (- y))) (/ 1 (- x)))) into (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) 0.182 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.182 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.182 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.182 * [taylor]: Taking taylor expansion of 2.0 in y 0.182 * [backup-simplify]: Simplify 2.0 into 2.0 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [backup-simplify]: Simplify x into x 0.182 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [backup-simplify]: Simplify x into x 0.183 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.183 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.183 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.183 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.183 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.183 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.183 * [taylor]: Taking taylor expansion of 2.0 in x 0.183 * [backup-simplify]: Simplify 2.0 into 2.0 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [backup-simplify]: Simplify y into y 0.184 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (+ 0 1) into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.185 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.185 * [taylor]: Taking taylor expansion of 2.0 in x 0.185 * [backup-simplify]: Simplify 2.0 into 2.0 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [backup-simplify]: Simplify y into y 0.185 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (+ 0 1) into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [taylor]: Taking taylor expansion of 1 in y 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ (/ 2.0 y) 0) into (* 2.0 (/ 1 y)) 0.188 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y)) 0.188 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.188 * [taylor]: Taking taylor expansion of 2.0 in y 0.188 * [backup-simplify]: Simplify 2.0 into 2.0 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.188 * [backup-simplify]: Simplify 2.0 into 2.0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.207 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.207 * [backup-simplify]: Simplify (+ (* y y) (* x (+ (* 2.0 y) x))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.207 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (y x) around 0 0.207 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [backup-simplify]: Simplify y into y 0.207 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.207 * [taylor]: Taking taylor expansion of 2.0 in x 0.207 * [backup-simplify]: Simplify 2.0 into 2.0 0.207 * [taylor]: Taking taylor expansion of (* x y) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [backup-simplify]: Simplify y into y 0.208 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [backup-simplify]: Simplify x into x 0.208 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.208 * [taylor]: Taking taylor expansion of 2.0 in y 0.208 * [backup-simplify]: Simplify 2.0 into 2.0 0.208 * [taylor]: Taking taylor expansion of (* x y) in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [backup-simplify]: Simplify x into x 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [backup-simplify]: Simplify x into x 0.208 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.208 * [taylor]: Taking taylor expansion of 2.0 in y 0.208 * [backup-simplify]: Simplify 2.0 into 2.0 0.208 * [taylor]: Taking taylor expansion of (* x y) in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [backup-simplify]: Simplify x into x 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.209 * [backup-simplify]: Simplify (* x 0) into 0 0.209 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.210 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.210 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 0.210 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 0.210 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 0.210 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.210 * [taylor]: Taking taylor expansion of 2.0 in x 0.210 * [backup-simplify]: Simplify 2.0 into 2.0 0.210 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.212 * [backup-simplify]: Simplify (* 1 1) into 1 0.212 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.213 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 x) (* 0 0))) into 0 0.213 * [backup-simplify]: Simplify (+ 1 0) into 1 0.214 * [backup-simplify]: Simplify (+ 0 1) into 1 0.214 * [taylor]: Taking taylor expansion of 1 in x 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.215 * [backup-simplify]: Simplify 2.0 into 2.0 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.216 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (+ (* 2.0 (/ 1 y)) (/ 1 x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.216 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (* 1 1) into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [backup-simplify]: Simplify y into y 0.217 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.217 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.217 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.217 * [taylor]: Taking taylor expansion of 2.0 in x 0.217 * [backup-simplify]: Simplify 2.0 into 2.0 0.217 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.217 * [taylor]: Taking taylor expansion of (* x y) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [backup-simplify]: Simplify y into y 0.217 * [backup-simplify]: Simplify (* 0 y) into 0 0.218 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.218 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [backup-simplify]: Simplify x into x 0.218 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.218 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (* 1 1) into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.219 * [taylor]: Taking taylor expansion of 2.0 in y 0.219 * [backup-simplify]: Simplify 2.0 into 2.0 0.219 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.219 * [taylor]: Taking taylor expansion of (* x y) in y 0.219 * [taylor]: Taking taylor expansion of x in y 0.219 * [backup-simplify]: Simplify x into x 0.219 * [taylor]: Taking taylor expansion of y in y 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (* x 0) into 0 0.220 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.220 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [backup-simplify]: Simplify x into x 0.220 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.220 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.221 * [taylor]: Taking taylor expansion of 2.0 in y 0.221 * [backup-simplify]: Simplify 2.0 into 2.0 0.221 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.221 * [taylor]: Taking taylor expansion of (* x y) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [backup-simplify]: Simplify x into x 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* x 0) into 0 0.222 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.222 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.222 * [backup-simplify]: Simplify (+ 0 1) into 1 0.222 * [taylor]: Taking taylor expansion of 1 in x 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.224 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.224 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 0.224 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of 2.0 in x 0.224 * [backup-simplify]: Simplify 2.0 into 2.0 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.228 * [backup-simplify]: Simplify 2.0 into 2.0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.229 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (+ (* 2.0 (/ 1 (- y))) (/ 1 (- x))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.230 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (* 1 1) into 1 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [backup-simplify]: Simplify y into y 0.231 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.231 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.231 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.231 * [taylor]: Taking taylor expansion of 2.0 in x 0.231 * [backup-simplify]: Simplify 2.0 into 2.0 0.231 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.231 * [taylor]: Taking taylor expansion of (* x y) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [backup-simplify]: Simplify y into y 0.231 * [backup-simplify]: Simplify (* 0 y) into 0 0.231 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [backup-simplify]: Simplify x into x 0.232 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.232 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.233 * [taylor]: Taking taylor expansion of 2.0 in y 0.233 * [backup-simplify]: Simplify 2.0 into 2.0 0.233 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.233 * [taylor]: Taking taylor expansion of (* x y) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [backup-simplify]: Simplify x into x 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* x 0) into 0 0.233 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.233 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [backup-simplify]: Simplify x into x 0.233 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.234 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.234 * [taylor]: Taking taylor expansion of 2.0 in y 0.234 * [backup-simplify]: Simplify 2.0 into 2.0 0.234 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.234 * [taylor]: Taking taylor expansion of (* x y) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [backup-simplify]: Simplify x into x 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (* x 0) into 0 0.235 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.235 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.235 * [backup-simplify]: Simplify (+ 1 0) into 1 0.236 * [backup-simplify]: Simplify (+ 0 1) into 1 0.236 * [taylor]: Taking taylor expansion of 1 in x 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.237 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.237 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of 2.0 in x 0.237 * [backup-simplify]: Simplify 2.0 into 2.0 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (* 1 1) into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.242 * [backup-simplify]: Simplify 2.0 into 2.0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.242 * * * [progress]: simplifying candidates 0.243 * [simplify]: Simplifying: (* x (+ (* 2.0 y) x)) (+ (log x) (log (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (* (* (* x x) x) (* (* (+ (* 2.0 y) x) (+ (* 2.0 y) x)) (+ (* 2.0 y) x))) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (* (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* x (* 2.0 y)) (* x x) (* (* 2.0 y) x) (* x x) (* x (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x)))) (* x (sqrt (+ (* 2.0 y) x))) (* x 1) (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (* x (- (* (* 2.0 y) (* 2.0 y)) (* x x))) (* (exp (* y y)) (exp (* x (+ (* 2.0 y) x)))) (log (+ (* y y) (* x (+ (* 2.0 y) x)))) (exp (+ (* y y) (* x (+ (* 2.0 y) x)))) (* (cbrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (cbrt (+ (* y y) (* x (+ (* 2.0 y) x))))) (cbrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (* (* (+ (* y y) (* x (+ (* 2.0 y) x))) (+ (* y y) (* x (+ (* 2.0 y) x)))) (+ (* y y) (* x (+ (* 2.0 y) x)))) (sqrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (sqrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (+ (pow (* y y) 3) (pow (* x (+ (* 2.0 y) x)) 3)) (+ (* (* y y) (* y y)) (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* x (+ (* 2.0 y) x))))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)))) (- (* y y) (* x (+ (* 2.0 y) x))) (+ (* y y) (* x (* 2.0 y))) (+ (* y y) (* (* 2.0 y) x)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.245 * * [simplify]: Extracting # 0 : cost 0 0.245 * * [simplify]: Extracting # 1 : cost 0 0.245 * * [simplify]: Extracting # 2 : cost 0 0.245 * * [simplify]: Extracting # 3 : cost 0 0.245 * * [simplify]: Extracting # 4 : cost 0 0.245 * * [simplify]: Extracting # 5 : cost 0 0.245 * * [simplify]: Extracting # 6 : cost 0 0.245 * * [simplify]: Extracting # 7 : cost 0 0.246 * * [simplify]: iteration 0 : 73 enodes (cost 527 ) 0.277 * * [simplify]: Extracting # 0 : cost 0 0.277 * * [simplify]: Extracting # 1 : cost 0 0.278 * * [simplify]: Extracting # 2 : cost 0 0.278 * * [simplify]: Extracting # 3 : cost 0 0.278 * * [simplify]: Extracting # 4 : cost 0 0.279 * * [simplify]: iteration 1 : 225 enodes (cost 493 ) 0.385 * * [simplify]: Extracting # 0 : cost 0 0.386 * * [simplify]: Extracting # 1 : cost 0 0.387 * * [simplify]: Extracting # 2 : cost 0 0.388 * * [simplify]: Extracting # 3 : cost 0 0.389 * * [simplify]: Extracting # 4 : cost 0 0.389 * * [simplify]: iteration 2 : 764 enodes (cost 439 ) 1.197 * * [simplify]: Extracting # 0 : cost 0 1.201 * * [simplify]: Extracting # 1 : cost 0 1.206 * * [simplify]: Extracting # 2 : cost 0 1.210 * * [simplify]: Extracting # 3 : cost 0 1.213 * * [simplify]: Extracting # 4 : cost 0 1.215 * * [simplify]: iteration 3 : 3445 enodes (cost 439 ) 2.556 * * [simplify]: Extracting # 0 : cost 0 2.561 * * [simplify]: Extracting # 1 : cost 0 2.566 * * [simplify]: Extracting # 2 : cost 0 2.571 * * [simplify]: Extracting # 3 : cost 0 2.575 * * [simplify]: Extracting # 4 : cost 0 2.580 * * [simplify]: iteration done: 5001 enodes (cost 439 ) 2.580 * [simplify]: Simplified to: (* x (+ (* 2.0 y) x)) (log (* x (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (pow (* x (+ (* 2.0 y) x)) 3) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (pow (* x (+ (* 2.0 y) x)) 3) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* x (* 2.0 y)) (* x x) (* x (* 2.0 y)) (* x x) (* x (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x)))) (* x (sqrt (+ (* 2.0 y) x))) x (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (* x (- (* (* 2.0 y) (* 2.0 y)) (* x x))) (exp (+ (* y y) (* x (+ (* 2.0 y) x)))) (log (+ (* y y) (* x (+ (* 2.0 y) x)))) (exp (+ (* y y) (* x (+ (* 2.0 y) x)))) (* (cbrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (cbrt (+ (* y y) (* x (+ (* 2.0 y) x))))) (cbrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (pow (+ (* y y) (* x (+ (* 2.0 y) x))) 3) (sqrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (sqrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (+ (pow y 6) (pow (* x (+ (* 2.0 y) x)) 3)) (+ (* (* x (+ (* 2.0 y) x)) (- (* x (+ (* 2.0 y) x)) (* y y))) (pow y 4)) (- (pow y 4) (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)))) (- (* y y) (* x (+ (* 2.0 y) x))) (* y (+ (* 2.0 x) y)) (* y (+ (* 2.0 x) y)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (+ (* y y) (* x (+ (* 2.0 y) x))) (+ (* y y) (* x (+ (* 2.0 y) x))) (+ (* y y) (* x (+ (* 2.0 y) x))) 2.580 * * * [progress]: adding candidates to table 2.652 * [progress]: [Phase 3 of 3] Extracting. 2.653 * [simplify]: Simplifying: (+ (* y y) (* x (+ (* 2.0 y) x))) 2.653 * * [simplify]: Extracting # 0 : cost 0 2.653 * * [simplify]: Extracting # 1 : cost 0 2.653 * * [simplify]: Extracting # 2 : cost 0 2.653 * * [simplify]: Extracting # 3 : cost 0 2.653 * * [simplify]: Extracting # 4 : cost 0 2.653 * * [simplify]: Extracting # 5 : cost 0 2.653 * * [simplify]: iteration 0 : 8 enodes (cost 11 ) 2.654 * * [simplify]: Extracting # 0 : cost 0 2.654 * * [simplify]: iteration 1 : 12 enodes (cost 11 ) 2.654 * * [simplify]: Extracting # 0 : cost 0 2.654 * * [simplify]: iteration done: 12 enodes (cost 11 ) 2.654 * [simplify]: Simplified to: (+ (* y y) (* x (+ (* 2.0 y) x))) 4.262 * [regime-testing]: End program error score: 0.019372693215540658 4.290 * [regime-testing]: Target error score: 0.019597689057264337